Jerry V. McMichael Instructor and Systems Engineer

P. O. Box 960

Cloudcroft, NM 88317 email: sungrist@aol.com

Synoposis of Flight Test Highlights...

1.Ground Based Interceptor (GBI) and EKV and Sea Based Interceptor (SBI)

and Kinetic Warhead at Tucson, Huntsville, Alaska, and White Sands {2000-

2005}: tested with Loral 550, Acromatics, and Teltronics; and data analysis

with MATLAB, Visual Basic, and Excel as Principal Systems Engineer and Lead

Data Analyst.

2. S-3 Viking at Naval Test Center, Patuxent River Maryland, and on the

Truman Aircraft Carrier {1998-2000}: tested with PIL/HIL simulator, Automatic

Carrier Landing test facility, and Truman; and data analysis with MATLAB as

Flight Test Engineer..

3. Bell Model 407, 427, and 430 helicopters at Mirabel, Canada {1996-1998}:

tested from control room and flying left seat; and data analysis with Excel and

CAFTA as Flight Test Engineer.

4. C-130J at Lockheed Martin, Marietta, Georgia {1996-1998}: tested with

functional checkouts, redline drawings, and Flight Test Preparation Orders; and

for software, Oracle Data Base (configuration control) and CATIA as Flight Test

Engineer.

5. F-16 at Edwards AFB F-16 CTF and Ogden F-16 depot for General

Dynamics (later Lockheed Martin) {10 years}: testing all weapons and avionics

systems; and before that for 7 years. Senior Logistics Engineer and Team

Leader on all major F-16 mods from block 1 to block 60 at Fort Worth, Ogden,

Denmark, Holland, and Belgium as Flight Test Control Engineer and Senior

Logistics Engineer.

Contract Work after Retirement..

1. Rockwell Collins, Richardson Texas, 8 months from 2005-2006.

Worked for Dave Cox on development of the computer and total system for the

Future Combat System, after Raytheon retirement.

2. Lockheed Martin, Marietta Georgia, 2 years on development and flight

test of the C-130J, after retirement from 17 Years at Lockheed Martin (really

General Dynamics), after GD.

3. Navy Carrier Suitability, Pax River Maryland, testing the S2 Viking after

installation of a new digital flight control computer, and on the Harry S. Truman.

4. Bell Helicopter, Textron, Mirabel Canada, flying the left seat for testing of

models 407,427, and 430.

Retirements...

1. Lockheed Martin (General Dynamics), Fort Worth, Texas and Edwards AFB,

retiring as Flight Test Control Engineer Engineering Specialist, testing the F-16

at Edwards in a CTF for 10 years; and previously 7 years as a Senior Logistics

Engineer.

2. Raytheon Missile Systems, Tucson Arizona and Alaska, 5 years (2000-

2004), flight test and data analysis as team leader on the EKV and KW.

Presently, officially retired {2007-present); however work 3 Bible websites and

research and write a book on “Technical Applications of Computers with

MATLAB”***

Details of Experience, Knowledge and Skills:

Lincoln National Forest Mountain Home Cloudcroft, New Mexico

4 years (2006-2010)

Based on 10 years of teaching of electronic engineering technology at Eastern

New Mexico University, Lee College in Baytown Texas, and the Institute of

Electricity and Electronics in Boumerdes, Algeria, for the last two years have

been researching and writing a book on “Technical Applications of Computers

with MATLAB and Simulink”; and working three Bible websites. Some of the

chapters include F16 Simulation, UAV and Other NASA Dryden Test Reports,

Model Based Design, Flight Test, Flight Control Computer, Transfer Function,

State-Space Equations, Automatic Control. Each chapter includes extensive drill

on MATLAB and Simulink.

Rockwell Collins Government Systems Dallas,

Texas

8 months (June 2005 – January 2006)

Participated in the design of the Integrated Computer System for current force

Bradley and Abrams and for the Armies’ Future Combat System as part of the

design team of Boeing, General Dynamics, and Rockwell Collins. Utilized

DOORS on net, Project Link, and the WEBex as the primary means of

communications, and Rational Rose and DOORS as primary means of

interactions with Lotus Notes. Chaired WEBex meetings from Richardson

Rockwell Collins with Collins Cedar Rapids, General Dynamics in Minnesota,

and representatives from other companies involved in the Integrated Computer

System for FCS. Performed functions of a lead in WEBex meetings using

Powerpoint presentations on Current Force design issues for EMC/E-Cubed,

Manufacturability as conformal coating on COTS PCB s, temperature

requirements, JTAG boundary scan, Ethernet sniffing, and test software in

COTS modules. Researched current state-of-the-art on high speed design,

microprocessors, mil standards, and embedded design with COTS. Used

DOORS and other software to analyze and re-work design requirements.

WEBex and Project Link for inter communications with several large Aerospace

Companies. Participated in the Preliminary Design Review (PDR) for the Future

Force ICS System, including the specs of the 18 proposed vehicles and

electronics and computer systems. Worked with PCD, CIDS, CIS, and SSDD

design requirements in DOORS and exported to Microsoft Word. Maintained a

complete System specification tree in Excel starting with the vehicles and

coming down to the LRUs and SRUs (modules) of the ICS during the complete

design overall based on commonality and dual use Information Assurance and

security enclaves. Worked in the nation-wide IPT for Systems Engineering and

Architecture.

Raytheon Missile Systems P. O. Box 11337 Tucson, AZ 85734-1337

(2000-November 1, 2004)

Lead Flight Test Data Analyst, 5 years direct employment, in Integration, Test

and Evaluation. Use LABVIEW for data processing and DIAdem for data

management. Collected, processed, analyzed, and modified software centered

around telemetry systems utilizing various test instrumentation for flight vehicle

events, optical efficiency, responsivity, etc. Used Probe and Matlab to make

Test Data Reports and to improve Powerpoint presentations. Interviewed and

recruited a team of four analysts, and together we developed a database for

the Loral 550 telemetry system (and the complete F987), decommutation

software, a probe data dictionary, probe and MATLAB scripts. Purchased and

setup a Sun Development Workstation with Solaris 2.6 and Loral 550 software

in the virtual mode. Assigned team development and then test assignments and

co-ordinated efforts. Assisted in the development of test plans. Made

PowerPoint presentations to the government and Raytheon personnel. Attended

and participated in offsite planning meetings at White Sands Missile Range and

Pt Mugu. Setup static data simulations in the Loral 550 and dynamic telemetry

simulations with the PCM600. Coordinated with the LASM program telemetry

working group, and wrote the LASM Telemetry Data Analysis Plan. Participated

in the planning and design development of the SM-4 missile. Trained analysis

team on the LASM database and usage of the F987 telemetry data collection

and processing system. Used Solaris Unix for data analysis on several Sun

Workstations as part of the F987. Programmed in Probe, C, and MATLAB on

a Windows NT computer and on the Sun Workstation. Also performed TM data

analysis on the KW in the Guidance Section lab and with the presentation of

data test reviews. Also a member of the EKV test team during ground testing at

Huntsville and Alaska.

Naval Air Weapons Command Flight Test Center Patuxent River,

Maryland

Flight Test Engineer, 15 months contract employment for Naval Carrier

Suitability, conducting ground tests at Pax River and flight tests at Pax on the

Truman on the S3 Viking after installation of a new Flight Control computer: (1)

Autopilot, Automatic Carrier Landing System, and flight control testing using

ACLS test facility at Patuxent River Test Center and on the USS Harry S.

Truman Aircraft Carrier. Performed ground testing, Hardware in the Loop and

Pilot in the loop simulator testing,and thorough flight and carrier testing; (2)

Performed a complete flight re-test of the S3 and wrote the test plan and test

cards; (3) Data Analysis: Fourier analysis in MATLAB, bode plots in EXCEL; (4)

Simulation of Longitudinal and Lateral Control Laws/aerodynamics in MATLAB

simulation. Quality Control function of new design of the Flight Control Computer

(Flight Data Computer); (5) Setup of instrumentation parameters for display and

data transmission; and (6) Trained on and used the Project Engineer Stations

(control rooms) for the Chesapeake Test Range.

Lockheed Martin Georgia Engineering Flight Test Marietta,

GA

Flight Test Engineer, 2 years of contract employment, in Engineering Test and

Evaluation testing and modifying the first 18 C-130J’s during flight test. (1) In

Engineering Test and Evaluation did Design development, C-130J, functional and

regression tests, all systems; (2) Re-design of systems using FTPO’s and

redlined CATIA drawings; (3) Coordinated on the flight line between Engineering

and Maintenance, managed approximately 60 people; and (4) Unix based

Oracle database for control of configuration, airworthiness, and and

airworthiness certification--controlled all DER activities through database.

{Trained first DERs on how to inventory and control, DERs being required

because of State Department contracts and onsite presence of Brits and New

Zealand.}

Lockheed Martin (General Dynamics) F-16 Combined Test Team Edwards

AFB, CA and GD Fort Worth

Flight Test Control Engineer, last 10 years of 17 years with General Dynamics,

testing the F-16 tactical fighter: first 7 years in Maintenance and Modification

Development leading in all modifications of the F-16, block 0 and up, and

customer assistance in Ogden, Utah, Belgium, Denmark, and Holland. (1)

AutoPilot and Flight Controls Instructor and Course Developer, 1 year; (2)

Modified the F-16’s during their development years from block 1 to block 50

including from A’s and B’s to C’s and D’s. Mods included wiring, avionics,

airframe, and systems; (3) Reported to the Chief of Flight Test, managing 2nd

shift, approximately 50 people; (4) Flight tested on the F-16 controlling systems

and numerous missiles such as Sidewinder, Maverick, Phoenix, Amram, and

Sparrow; (5) Installed and tested PaveTack on the F-111 and PavePenny on the

F-16 including the Laser Guidance Pod; (6) Wrote QAR’s to control

configuration, modifications, and maintenance; (7) Used FileMaker database for

configuration control of flight assets; (8) Used Word, WordPerfect, and EXCEL

for flight reports; (8) Planning, testing, kit proofing, and development of all F-16

design changes; (9) Taught flight line personnel on flight controls and auto-pilot

controls.

Ten years teaching electronics engineering technology...,Technical Math, and

Industrial Physics at Eastern New Mexico University, Lee College in Baytown

Texas, and the Institute of Electricity and Electronics in Boumerdes Algeria as

Technical-Vocational Instructor and Assistant Professor of Electronics, and led

in the development and writing of curriculum and lab experiments.

Education and Training...

1. Formal Education: (1) B.S. Physics and Math (courses heavy in

electronics); Eastern New Mexico University; Portales, New Mexico, ;

with graduate samplings in engineering at SMU and UH, graduate study in

physics at Baylor, also graduate study in American Studies and religion; (2) B.A.

In religion from Ouachita Baptist College and Southwestern Baptist Theological

Seminary, 5 hours from completion when transferred to physics and ENMU.

{approximately 40 hours in Bible which did not naturally count on the B.S. In

physics degree}

2. Company Training Courses: (1) GD Training Division: 3 months of classes

on avionics, auto-pilot, and all other systems on the F-16 A/B, and then later 6

months on the F-16 C/D systems; and Numerous other GD sponsored courses

on Management Dynamics, Speaking on Paper, EEO, and Managing for

Shareholder Value, etc.;9. Completed a week of MATLAB advanced training at

San Diego, conducted by Mathworks includes control, programming, and

simulink; (2) Completed Raytheon Missile Systems training programs on Probe,

MATLAB, Data Management, flight mechanics, and aerodynamics; (3)

Completed the L3Com Loral 550 training course at San Diego; (4) Certificates

of completion for LABVIEW and DIAdem training from NI, Austin; (5) Navy

training classes (OJT) recently at Patuxent River, Maryland on the RTPS

(control room, etc) and the new Digital Flight Data Computer of the S-3 Viking.

3. Continuing Education Certificates:: Professional Certificate from the

University of Arizona in Desktop Publication completed January 2005; and (2)

Primary chose due to practical nature of course and mobile life style the route of

Continuing Education with Certificates of Completion in Continuing Education

from UCLA, LTU, and Multimedia Magic on computer hardware, software, and

multimedia courses; also Certificates of Completion in C and C++ from Georgia

Tech, Southern Tech, California State University at Northridge, and Learning

Tree University.

Naval Aviation, 4 years, Pax River Maryland and Argentia Newfoundland, AT1

and member of flight crew flying every 3 days fro 13 hours as part of the AEW

DEW line, and maintaing the APS-20 search radar, the APS-45 height finder

radar, and associated auxiliary equipment.

*** TECHNICAL APPLICATIONS OF COMPUTERS with MATLAB and Simulink”

based on 30 plus years of Aerospace experience, 10 years of teaching

electronics engineering technology at the two year college level, current

research of flight test reports from the NASA Dryden server such as Global

Hawk and drones, F-16, AFTI, new test techniques and equipment, Enhanced

Visual Navigation; of sorting through over 100 MATLAB and simulink routines for

book inclusion, and programming in MATLAB and FORTRAN for algorithms

inclusions in over 16 major applications.

{On the next page, and following, is the Table of Contents}

CHAPTER 1 Data Analysis and Systems Integration. 13

1-1: Simulation of Space Shuttle with MATLAB programming. 13

1-2: Numerical Analysis the Anchoring Discipline. 15

1-3: Excel and MATLAB for Data Analysis. 17

1-4: Large Modern Systems in the Evolution of the Digital Atomic Age. 18

1-5: Differential Equations and Physics Have Taken a Bad Rap. 20

1-6: Many Threads of Modern Technology Made the Technical Revolution. 23

1-7: Sharing of Learning Theory. 24

1-8 Ups and Downs of UAV Testing by John Del Frate of NASA. 26

1-9: Drilling with MATLAB Basics. 26

CHAPTER 2 The Digital Atomic Age 29

2-1: Math led the technical world into the Digital with Linear Algebra. 31

2-2: Some Things from “Optimization in Simulation Studies”. 31

2-3: New on Minimization, Optimization, and Parameter Estimation? 33

2-4: The Place of Equations in the Digital Revolution. 33

2-3: From Nature to ADC. 33

2-4: The Math of Motion is a Good Starting Place for the Technical. 34

2-5: Digital and Digital Computers to Technical Applications of Computers. 36

2-6: “Digital Signal Processing”. 37

2-7: MATLAB, Path, and Workspace. (D1) 39

2-8: Plotting, Subplots, Axis and Labels. (D2) 43

2-9: Polynomial Algebra and Polynomial Roots. (D3) 44

2-10: Graphics and Descriptive Stats. (D4) 47

CHAPTER 3 Systems Integration. 53

3-1: Cl, Cd, and Cm on selected Aircraft. 54

3-2: Steady State Flight with Principles of Stability and Control. 57

3-3: We can use the Transfer Function in MATLAB before the Theory. 59

3-4: Trim Equilibrium as far as pitch when all moments at the C.G. are zero. 61

3-5: Numerical Optimization and the Trim. m Program. 62

3-6: Intro to Numerical Optimization. 64

3-7: FMIN in MATLAB. 64

3-8: FEVAL in MATLAB. 66

3-9: The Steady-State Trim Algorithms. 68

3-10: Polynomials and Plotting (D1). 69

3-11: Matrices and Plotting (D2). 71

CHAPTER 4 UAVs and Other Flight Test Reports. 75

4-1: The Altair/Predator B. 76

4-2: Recent UAV Flight Test Experience at NASA, 1998. 77

4-3: Flight Tests of the X-48B UAV between 2007 and 2008. 78

4-4: AFTI/F-16 Flight Test Results and Lessons Learned. 81

4-5: Aircraft Parameter Estimation. 86

4-6: Graphics and Plot (D1). 90

4-7: Flow control (D2). 90

4-8: Plotting Complex Numbers and Function Plot (D3). 90

4-9: Normal Distribution (D4). 90

CHAPTER 5 The Process. 91

5-1: The 10 step Process of this book. 91

5-2: The 10 step Process of Aerospace. 93

5-3: The Process of Learning: ILS. 93

5-4: Historical PROCESS of The Digital Atomic Age. 94

5-5: Math led the technical world into the Digital with Linear Algebra. 96

5-6: The Place of Mathematical Equations in the Digital Revolution. 96

5-7: Most Physical Phenomenon is Analog, Requiring ADC. 97

5-8: The Math of Motion is a Good Starting Place for the Technical. 97

5-9: Digital and Digital Computers & Applications of Computers. 97

5-10: Digital Signal Processing. 98

5-11: Evolution in Math Techniques for Engineering Applications. 100

5-12: Software, Firmware, and Digital Math. 100

5-13: The Process in CMMI. 101

5-14: The Process in “Embedded Systems Architecture”. 101

5-15: Global Hawk Unveiled the Process at work in UAVs. 102

5-16: Files/Directories, Handling Data, & External Programs (D1). 104

5-17: Fourier Transform (D2). 104

5-18: Plotting Polynomials with POLYVAL (D3). 104

5-19: Matrices of Data and Plotting (D4). 104

CHAPTER 6 Parameters and Data Analysis. 105

6-1: Practical Aircraft Parameter Estimation. 107

6-2: List of Parameters. 109

6-3: Approach of NASA Report # NASA TM-88281. 109

6-4: Modern Minimization {Curve Fitting} Techniques. 111

6-5: Cost Function, J or PI, for a Transport Aircraft. 113

6-6. Basic Aircraft Parameters and Equations. 114

6-7: The Cost Function, J. 115

6-8: Cost Function in Model Methodology of Operations Research. 115

6-9: FMINSEARCH of MATLAB, Nelder and Mead Simplex Algorithm. 115

6-10: Place of the Cost Function in Parametric Estimation. 115

6-11: MATLAB Program for Aircraft Trim plus. 115

6-12: Model Differencing Tool (D) 115

CHAPTER 7 Systems and Parameters. 117

7-1: Ways to Model Linear Systems: State-Space and Transfer Function. 119

7-2: Some history of State Space and the Transfer Function. 121

7-3: Large Scale Digital Computer as Catalyst to Digital Atomic Age. 122

7-4: The notions of State and Space. 123

7-5: Linear Systems. 124

7-6 Background for Cl, Cd, and Cm. 125

7-7: Coefficients from Flight Test versus Mach and Altitude. 126

7-8: From Aerodynamic Coefficients to Aerodynamic Derivatives. 126

7-9: Plot of Moment Coefficient Curve with a Negative Slope. 128

7-10: Aerodynamic Derivatives Simply Mean the Use of Partial DEs. 129

7-11: Questions About Table 1 on Lift, Drag, and Moments. 129

7-12: Working with the Pendulum System in MATLAB. 130

7-13: Data In/Out, Printing, and Exporting Figures (D1). 130

7-14: Text in Graphics, Symbols and Greek Letters (D2). 130

7-15: Low Pass Filter and Log Plots (D3). 130

7-16:Trend Analysis (D4). 130

CHAPTER 8 Programming with MATLAB. 131

8-1. Measurement of the Damping Roll (NASA Dryden). 131

8-2: Study of Longitudinal Dynamic Stability in Flight. 132

8-3: Files/Directories, Handling Data, & External Programs (D1). 132

8-4: Fourier Transform (D2). 132

8-5: Plotting Polynomials with POLYVAL (D3). 132

8-6: Matrices of Data and Plotting (D4). 132

8-7: Programming Simulation of a Transport Aircraft. 132

8-8: The Use of Functions in MATLAB programming. 134

8-9: The Transport Aircraft Simulation in C&S. {Trim.m Program} 136

8-10: Examples of “cost function” in CONTROL AND SIMULATION. 139

8-11: Programming Input/Output in MATLAB. 143

8-12: Relational and Logical Operators. 143

8-13: Looping in MATLAB. 144

8-14: Control Flow Statements in MATLAB programming. 144

8-15: If-Else-If Statement in Programming. 144

8-16: Using Loops in Programming Missiles. 144

8-17: Function for [Mach,Qbar] = ADC(VT,H). 144

8-18: Program 8-1 to Calculate State Derivative Vector for Transport plane. 144

CHAPTER 9 Programming Optimization. 145

9-1: Aircraft State and Parameter Identification. 145

9-2: A Good Place to Introduce the Wing Standards of NACA. 146

9-3: The three types of Numerical Optimization are repeated here: 146

9-1: Zero routines in Optimization. 147

9-2: MATLAB calls it “Optimization”. 148

9-3: Optimization in MATHEMATICA. 150

9-4: Optimization in the Excel Data Analysis ToolPak. 152

9-5: Optimization in MINITAB. 152

9-6: “Cost Function” in Mathematica. 152

9-7: Cost Function is Often Called Performance Index. 153

9-8: Two Experts on Optimization and Parameter Estimation. 153

CHAPTER 10 System ID. 155

10-1. Basic Aircraft Parameters and Equations. 156

10-2: The Cost Function, J. 157

10-3: Cost Function in Model Methodology of Operations Research. 157

10-4: FMINSEARCH of MATLAB, Nelder and Mead Simplex Algorithm. 157

10-5: Place of the Cost Function in Parametric Estimation. 157

10-6: MATLAB Program for Aircraft Trim plus. 157

10-7: Modeling, Parameter Estimation, and System Identification? 157

10-8: Statistics Toolbox of MATLAB versus Data Analysis ToolPak of Excel. 157

10-14: Model Differencing Tool (D). 158

CHAPTER 11 Automatic Control 159

11-1: Start with a Model of the Model. 159

11-2: How Did We Get the transfer function for the Controller? 162

11-3: “step(deltae*sys,t)” 163

11-4: “rlocus(num,den)” and “rlocfind(num,den)” 163

11-5: “[P,Z] = pzmap(num,den)”. 164

11-6: “[y,z] = lsim(num,den,u,t]”. 164

11-7: “[r,p,k] = residue(num,den)” 164

11-8: “[num,den] = residue(r,p,k)” 164

11-9: “sys1 = tf(num,den)” 164

11-10: “[A B C D] = tf2ss(num,den)” 164

11-11: “[re,im,w] = nyquist(num,den)” and “plot(re,im),grid”. 164

11-12: “[mag,phase,w] = bode(num,den)” 164

11-13: “margin(mag,phase,w)”. 164

11-14: “nichols(num,den,w)” and “ngrid”. 164

CHAPTER 12 Integrated Electronics: Circuits and

Systems. 165

12-1: The Transfer Function makes this Evolution Process Evident. 166

12-2: Modeling of Spring-Mass System and an LCR electronic Circuit. 166

12-3: The PIDs, PD, and PI of today understandable with Circuits. 166

12-4: Large Part of Digital Signal Processing is Circuits called Filters. 167

12-5: From Circuits to LaPlace to Transfer Function. 167

12-6: Select Electronic Circuits into Transfer Functions and Analysis. 167

12-7: MATLAB for a “Gravity” function. 167

12-8: MATLAB uses a lot of built in functions like “mean”. 168

12-9: MATLAB Built-in Functions are in C:\MATLAB\toolbox\matlab\.. 170

12-9: The Quadratic Equation function script with MATLAB. 171

12-10: Strings and FEVAL (D2). 171

12-11: Data Markers and Line Types (D3). 172

12-12: Linear Regression and Curve Fitting (D4). 172

CHAPTER 13 Integrated Learning System. 173

13-1: Programming in MATLAB. 174

13-2: Programming Weather Data. 174

13-3: Some More Work with Input/Output. 175

13-4: Input/Output in Aircraft Time-History Simulation. 178

13-5: Programming the NLSIM.m for Aircraft time-histor simulation. 180

13-6: Methods of Aircraft State and Parameer Identification. 183

13-7: Measurement of the Damping Roll. 183

13-8: Study of Longitudinal Dyanamic Stability in Flight. 184

13-9: Creating Graphical User Interfaces in MATLAB (D1). 184

13-10: Guide for Drawing GUIs and “help unitools” (D2). 184

13-11: Function Discovery (D3). 184

13-12: Fourier Series (D4). 184

13-13: Arrays, Matrices, Vectors, and Data Types (D5). 184

CHAPTER 14 Matrix Manipulations. 191

14-1: Differential Equations and Matrix Manipulations. 191

14-2: Matrix Manipulations from Raytheon Training. 192

14-3: Matrix Manipulations from MATLAB training and books. 192

14-4: Linear Algebra and Vector Calculus from Engineering Math and MATLAB.

192

14-5: The Applied Physics of Practical Differential Equations and Matrices. 192

14-6: Equations of Electrical Circuits like Equations of Motion. 196

14-7: Equations of Motion are Differential Equations of Matrix Manipulations.

198

14-8: More Programming and Vectorized Computations (D1). 199

14-9: Another Drill on Saving and Loading Data in Other Formats (D2). 200

14-10: INPUT, EVAL, FEVAL, Debugging, and Profiling (D3). 200

14-11: Subplots, Double Axis, and Labels (D4). 200

14-12: Progressing on Finess of Plots (D5). 200

14-13: Filters (D6). 200

CHAPTER 15 Applied Physics and Electronics. 201

15-1: MATLAB and Simulink. 201

15-2: Laplace Transform and Transfer Function. 202

15-3: More RC Functional Networks with their TF(s) Equivalency. 205

15-4: Programming the Motion of the Pendulum into MATLAB. 205

15-5: RLC Circuit of Electricty also deals with physical motion. 206

15-6: The TF to solve Motion Problems of an F-16 Accelerometr. 206

15-7: The Spring Mass System Measures Acceleration of the F-16. 208

15-8: Continuous Systems and Model for Bungee Jumping. 211

15-9: Electromagnetic Spectrum, Microwaves, and Radar. 211

15-10: Load Line Analysis of an Electric Circuit (D1). 211

15-11: Time Series and Autocorrelaton (D2). 211

CHAPTER 16 From DEs to the Transfer Functions. 213

16-1: Conversion of the DE to a Transfer Function Can be Done Directly. 214

16-2: Applications of the Transfer Function. 215

16-3: The Transfer Function. 217

16-4: LaPlace Transform, parameters in s. 217

16-5: State-Space Variable Equations. 218

16-6: Solution of Second Order DE by State-Space. 220

16-6: Concepts/Techniques Applied to the Electric Circuit. 221

16-7: Program 5-1, MATLAB for the RLC Circuit of Figure 6-1. 223

16-8: Put MATLAB to work for you! 224

16-9: Damping and Natural Frequency with the Transfer Function. 224

16-10: Transfer Function and State-Space. 224

16-11: Fun Applications of TF to F-14 and F-16. 224

CHAPTER 17 MATLAB and Simulink. 233

17-1: Blocks and Models of Simulink. 233

17-2: Laplace Transform and Transfer Function. 235

17-3: More RC Functional Networks with their TF(s) Equivalency. 237

17-4 The Pendulum, Programmed and Simulated with Simulink. 237

17-5 RLC Circuit of Electricty also deals with physical motion. 239

17-6: The TF to solve Motion Problems of an F-16 Accelerometr. 239

17-7 The Spring Mass System Measures Acceleration of the F-16. 239

17-8: Continuous Systems and Model for Bungee Jumping. 243

17-9: More Programming and Vectorized Computations (D1). 243

17-10: Data Analysis. 243

17-11: Another Drill on Saving and Loading Data in Other Formats (D2). 243

17-12: Load Line Analysis of an Electric Circuit (D3). 243

17-13: Time Series and Autocorrelaton (D4). 243

CHAPTER 18 Applications of The Transfer Function. 245

18-1: The Boeing Aircraft Plant. 245

18-2: What we need is some sort of Controller, An FCC. 246

18-3: A Kp Controller. 247

18-4: A PD or Pd Controller. 248

18-5: The PID Controller. 248

18-6: Simulation with Simulink (Flight of a Mission). 248

18-7: Data Analysis of the Test Mission. 248

18-8: Computation and Plotting of a Least-Squares Polynomial (D1). 248

18-9: Numerical Evaluation of a Polynomial (D1). 248

CHAPTER 19 Equations of Flight 257

19-1: Practical Equations of Motion for the Longitudinal Axis. 257

19-2: We must Derive the Coefficients of Lift, Drag, and Moments. 260

19-3: Numbers into the Equations of Motion. 260

19-4: Some Equations Necessary for CL and CD calculations. 263

19-5: Parameter Estimation and Modeling Save Our Hide. 265

19-6: FS&AC summarize Equations of Motion in 5 separate sets. 265

19-7: Steady State Trim Program and the State Space Concept. 266

19-8: A Definition of Steady State Flight. 266

19-9: Life, Drag, and Moment Coefficients. 267

19-10: Lift, Drag, and Moment Coefficients in NASA reports. 268

19-11: Power for Steady State Flight. 268

19-12: Flight Mechanics. 268

CHAPTER 20 Numerical Analysis 277

20-1: POLYFIT and POLYVAL on CD versus altitude Curve Fit. 277

20-2: Three Dimensinal Plot of CD versus Altitude and Mach Number. 279

20-3: Three Dimensional Plot with Meshgrid. 279

20-4. Aerodynamic Derivatives are simple Partial Differential Equations. 279

20-5: Interpolation of F-16 Coefficients from Tables. 279

20-6: Interpolation of the Boeing Longitudinal and Lateral Aerodynamic Data.

279

20-7: More Integration for the Text. 279

20-8: Must Have Routines to Continue on in this book. 279

20-9: The cost function, J or PI, that we must Minimize. 280

20-10: Numbers and the Newton-Raphson method. 282

20-11: Interactive Solution in Linear Algebra and the Jacobi. 283

20-13: Error Analysis. 285

20-14: Data Analysis. 285

1. Integral Under a Curve by the Simpson Method. 285

2. Numerical Analysis with the Newton-Rapson method. 285

3. The Taylor Series Polynomial. 285

4. The LaPlace Transform. 286

CHAPTER 21 Parameter Determination (Selection). 289

21-1: Parameter Determination (Selection). 289

21-2: Aircraft Motion and Control Variables. 291

21-3: Combining Aircraft Parameters with Non-dimensional Coefficients. 292

21-4: Categories of Coefficients by Aircraft Motion. 292

21-5: The DATCOM User’s Manual and Computer Software (Digital Datcom).

293

21-6: Parameter Coefficients. 294

21-7: Inputs to the Digital Datcom Computer Program. 294

21-8: Outputs. 295

21-9: Output Sheet for Digital Datcom from the User’s Manual. 296

21-10: DATCOM on the Boeing 737-100. 297

21-11: Motion and Analysis. 297

1. Stability and Control. 298

2. Center of Gravity and Neutral Point. 298

3. Vtrim and Static Longitudinal Stability. 298

4. A GENERIC TRIM Program. 298

5. The Bulirsch-Stoer Polynomial Interpolation. 298

6. Polyfit Finds Coefficients of the Polynomial. 298

7. Newton’s Raphson Method of Numerical Analysis. 298

CHAPTER 22 Missiles, Trajectories, and Guidance 301

22-1: A Missile Program and Data Analysis (Flight Mission #22-1). 301

22-2: What the Table Looks Like. 306

22-3: Error Analysis of Calculated Pressure Vs Standard. 308

22-4: It is always easier to Analyze Data or A Routine with Plots. 309

22-5: Cleaning Up the Plot. 309

22-6: Motion and Analysis. 309

22-7: Introduction to Handle Graphics (D1). 310

22-8: GUIs (D2) 310

22-9: Stem, Stairs, and Bar Plots (D3). 310

22-10: Time Series (D4). 310

22-11: GAINS.

CHAPTER 23 Telemetry Data Analysis 311

23-1: Range and Airborne Instrumentation. 311

23-2: IRIG. 312

23-3: Common Airborne Instrumentation System (CAIS). 312

23-4: Motion and Analysis. 312

23-6: Least Squares Approximation. 315

23-7: Fourier Methods such as FFT (Fast Fourier Transform). 315

23-8: Numerical Differentiation and Integration. 315

23-9: Missile Test Mission #4, Data Analysis, and Test Report. 315

CHAPTER 24 Modern Automatic Control 317

24-1: The Goal of Automatic Control is Stability of Flight. 317

24-2: Longitudinal Stability in Flight Test. 318

24-3: Flight Controls Enhanced by the Digital Revolution. 320

24-4: A Working Knowledge of MATLAB (Essentials Review of MATLAB). 321

24-5: Modeling with MATLAB. 322

24-6: The Famous PID Controller. 322

24-7: MATLAB for Root Locus. 323

24-8: Frequency Response with the Bode and Nyquist Plots. 323

24-9: State-Space with MATLAB and Simulink. 324

24-10: Controller of a Digital Computer. 324

24-11: Review of Simulink Essential Basics for Automatic Control. 325

24-12: Model Based Design with Simulink. 325

CHAPTER 25 The Flight Control Computer (FCC). 327

25-1: FBW. 327

25-2: The Pitch Actuator Simulink Model of the F-14. 328

25-3: Modified LTV Corsair actually first on Fly By Wire. 329

25-4: Simultaneous Testing on AFTI and the X36 at NASA Dryden. 329

25-5: The FCC of the AFTI F-16. 329

25-6: F-16 Simulation in Straight and Level Configuration. 329

25-7: Flight Control Computer. 329

25-8: FCC as Classic Feedback Control System. 329

25-9: Analogies Between FCCs and the G-H Block Diagram. 331

25-10: Negative Feedback Control. 332

25-11: Transfer Functions of the AFTI FCC. 332

25-12: Feedback Control with an Inner Loop. 332

CHAPTER 26 Predicted versus Measured. 333

26-1: Dr. R.A. Millikan’s, the Nobel Prize winning Physicist, on“ultimate truth”.

334

26-2: Procedure of “Parameter Estimation”. 335

26-3: NASA Test Reports Show a Trend of 1 Calculated and 3 Measured. 335

26-4: Predicted versus Measured in Physics Lab Experiments. 335

26-5: Motion and Analysis. 336

26-6: Program to Calculate Cl, Cd, and Cm. 336

26-7: Analysis of Flight Data from the AFTI/F-16. 336

26-8: MATLAB Program to Calculate Aerodynamic Derivatives. 338

26-9: MATLAB Program to Calculate Cl, Cd, and Cm. 338

26-10: Methods for Ordinary Differential Equations. 338

26-11: The Saving and Loading of Data. 338

26-12: Plotting for Graphical Visualization. 338

CHAPTER 27 F-16 Simulation with FORTRAN and

MATLAB 339

27-1: Some Data Analysis of A Test on the F-14. 340

27-2: Stability Analysis of This Flight Control System. 340

27-3: The Actuator. 341

27-4: Dynamic Characteristics of the Aircraft. 342

27-5: From FORTRAN to MATLAB. 343

27-6: Data and Data Analysis of F-16 Flight Test Mission #3. 344

27-7: Variables, ADC, Engine, and Coefficients in Tables. 344

1. State and Control Variables. 344

2. Air Data Computer and Engine. 344

3. Look up Tables for Aerodynamic Derivatives. 344

27-8: Derivatives, State and Force Equations. 344

1. Damping Derivatives. 344

2. More on State Equations. 344

3. Force Equations. 344

27-9: Kinematics. 344

27-10: Moments. 344

27-11: Navigation and Outputs. 344

27-12: Functional Simulation Program for the F-16. 344

27-13: Simulations at NASA. 345

27-14: Simulator Study of F-16 Stall Characteristics. 345

CHAPTER 28 Flight Tests and the Process. 351

28-1: Prime Differential Equation and the Process. 352

28-2: Process Step #1: The Problem to Calculate and Measure Stability. 353

28-3: Step #2, A Sketch of the Problem with Parameters. 354

28-4: Step #3, Equations to Predict Plane Flight Characteristics. 354

28-5: Step #4, Program the Equations into MATLAB. 355

28-6: Step #5, View and Analyze the Plots in MATLAB. 355

28-7: Step #6, Simulate in MATLAB SIMULINK. 355

28-8: Animation of Flight Test for Step #7. 355

28-9: Flight Test (Step 8). 356

28-10: Data Analysis (Step 9). 356

28-11: Flight Test Report (Step 10). 357

28-12: Motion and Analysis. 357

28-13: Curve Fitting to Test Data. 359

28-14: Airfoil Data. 359