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Estimation and Control of Aerospace Systems >> Content Detail



Study Materials



Readings

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The readings listed below are from three textbooks:

VdV: Amazon logo Van De Vegte, J. Feedback Control Systems. Prentice Hall PTR, 1993. ISBN: 0-13-016379-1.

RMS: Amazon logo Rohrs, C. E., J. L. Melsa, and D. G. Schultz. Linear Control Systems. McGraw Hill, 1993. ISBN: 0-07-041525-0.

G&VV
: Gelb, A., and W. E. Vander Velde. Multiple-Input Describing Functions and Nonlinear System Design. McGraw Hill, 1968.

The entire G&VV book is also downloadable below.

LEC #TOPICSREADINGS
1IntroductionVdV: Chapter 7, S 1-4
2Frequency Response Bode Plot RulesVdV: Chapter 7, S 5
3Frequency Response (cont.) Gain / Phase MarginsVdV: Chapter 7, S 6
4Bode Plot ExercisesVdV: Chapter 7, S 7-8
5Bode Plots for Unstable Open - Loop Systems
6Root - Locus ReviewVdV: Chapter 6, S 1-3
7Root - Locus ExamplesVdV: Chapter 6, S 4-6
8Compensation Design PrinciplesRMS: Chapter 8, S 1-2
9Compensation Design Principles (cont.)RMS: Chapter 8, S 1-2
10Proportional Control + Extra HandoutRMS: Chapter 8, S 1-2
11Lag and PID CompensationRMS: Chapter 8, S 4
12Lead and PID CompensationRMS: Chapter 8, S 5
13ExamplesRMS: Chapter 8, S 1-5
14High Frequency Roll-off Notch and Plant InversionRMS: Chapter 8, S 6
15Design Example Lead-Lag Compensation + Extra HandoutRMS: Chapter 8, S 7
16Examples (cont.)RMS: Chapter 8, S 7
17More ExamplesRMS: Chapter 8, S 8
18Control of Unstable PlantsRMS: Chapter 8, S 9
19Control of Unstable Plants (cont.)RMS: Chapter 8, S 9-10 + RMS: 6.6
20Quiz
21Models of NonlinearitiesIntroduction (PDF) (Courtesy of D. B. DeBra. Used with permission.)

Chapter 1 (PDF)
Chapter 2 (PDF)
22Common Effects of NonlinearitiesG&VV: 1.0-1.3 (PDF - 2.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
23Prof. David Trumper's Lecture
24Describing Functions Introduction and MotivationG&VV: 1.4-1.6 (PDF - 2.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
25Describing Function AnalysisG&VV: 3.0-3.1 (PDF - 4.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
26Computing DFsG&VV: Chapter 2 (PDF - 2.6 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
27DF Analysis: Example 1, Stability of Boat AutopilootNotes
28DF Analysis: Example 1 (cont.)Notes
29DF Analysis: Limit CyclingG&VV: 3.2 (PDF - 4.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
30DF Analysis: Jump ResonanceG&VV: 3.3 (PDF - 4.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
31DF-based Compensation DesignG&VV: 3.5 (PDF - 4.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
32DF-based Compensation Design (cont.)G&VV: 3.5 and 3.7 (PDF - 4.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
33Phase-Plane Analysis Introduction and MotivationChapter 3 (PDF)
34Phase Plane Drawing RulesChapter 3 (PDF)
35Phase - Plane Example I Carry-on Suitcase
36Phase - Plane Example II Satellite SystemChapter 3 Extra (PDF)
Chapter 4 (PDF)
Chapter 5 (PDF)
37Phase - Plane Example III Satellite SystemChapter 3 Extra (PDF)
Chapter 4 (PDF)
Chapter 5 (PDF)
38Phase - Plane and Parameter Dependence of System DynamicsChapter 6 (PDF)
39Phase - Plane and Parameter Dependence of System Dynamics (cont.)Chapter 6 (PDF)
Final Exam (3 hours)

Downloadable Textbook

The complete G&VV text (Gelb, A., and W. E. Vander Velde. Multiple-Input Describing Functions and Nonlinear System Design. McGraw Hill, 1968) is provided below.

Chapter 1. Table of Contents, Nonlinear Systems and Describing Functions (PDF - 2.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Chapter 2. Sinusoidal Input Describing Function (PDF - 2.6 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Chapter 3. Steady-state Oscillations in Nonlinear Systems (PDF - 4.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Chapter 4. Transient Oscellations in Nonlinear Systems (PDF - 1.7 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Chapter 5. Two-sinusoid-input Describing Function (PDF - 1.9 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Chapter 6. Dual-input Describing Function (PDF - 2.8 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Chapter 7. Random and Other Signals in Nonlinear Systems (PDF - 3.1 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Chapter 8. Nonoscillatory Transients in Nonlinear Systems (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Chapter 9. Oscillations in Nonlinear Sampled-data Systems (PDF - 2.4 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Appendix A. Amplitude-ratio-Decibel Conversion Tables (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Appendix B. Table of Sinusoidal-Input Describing Functions (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Appendix C. Table of Dual-input Describing Functions (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Appendix D. Table of Two-sinusoid-input Describing Functions (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Appendix E. Table of Random-input Describing Functions (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Appendix F. Table of Sampled Describing Functions (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Appendix G. Analytical Justification for the Filter Hypothesis (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Appendix H. Introduction to Probability and Random Process (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
Index (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)


 








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