Estimation and Control of Aerospace Systems

Readings

The readings listed below are from three textbooks:

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

RMS: 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 #	TOPICS	READINGS
1	Introduction	VdV: Chapter 7, S 1-4
2	Frequency Response Bode Plot Rules	VdV: Chapter 7, S 5
3	Frequency Response (cont.) Gain / Phase Margins	VdV: Chapter 7, S 6
4	Bode Plot Exercises	VdV: Chapter 7, S 7-8
5	Bode Plots for Unstable Open - Loop Systems
6	Root - Locus Review	VdV: Chapter 6, S 1-3
7	Root - Locus Examples	VdV: Chapter 6, S 4-6
8	Compensation Design Principles	RMS: Chapter 8, S 1-2
9	Compensation Design Principles (cont.)	RMS: Chapter 8, S 1-2
10	Proportional Control + Extra Handout	RMS: Chapter 8, S 1-2
11	Lag and PID Compensation	RMS: Chapter 8, S 4
12	Lead and PID Compensation	RMS: Chapter 8, S 5
13	Examples	RMS: Chapter 8, S 1-5
14	High Frequency Roll-off Notch and Plant Inversion	RMS: Chapter 8, S 6
15	Design Example Lead-Lag Compensation + Extra Handout	RMS: Chapter 8, S 7
16	Examples (cont.)	RMS: Chapter 8, S 7
17	More Examples	RMS: Chapter 8, S 8
18	Control of Unstable Plants	RMS: Chapter 8, S 9
19	Control of Unstable Plants (cont.)	RMS: Chapter 8, S 9-10 + RMS: 6.6
20	Quiz
21	Models of Nonlinearities	Introduction (PDF) (Courtesy of D. B. DeBra. Used with permission.) Chapter 1 (PDF) Chapter 2 (PDF)
22	Common Effects of Nonlinearities	G&VV: 1.0-1.3 (PDF - 2.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
23	Prof. David Trumper’s Lecture
24	Describing Functions Introduction and Motivation	G&VV: 1.4-1.6 (PDF - 2.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
25	Describing Function Analysis	G&VV: 3.0-3.1 (PDF - 4.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
26	Computing DFs	G&VV: Chapter 2 (PDF - 2.6 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
27	DF Analysis: Example 1, Stability of Boat Autopiloot	Notes
28	DF Analysis: Example 1 (cont.)	Notes
29	DF Analysis: Limit Cycling	G&VV: 3.2 (PDF - 4.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
30	DF Analysis: Jump Resonance	G&VV: 3.3 (PDF - 4.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
31	DF-based Compensation Design	G&VV: 3.5 (PDF - 4.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
32	DF-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.)
33	Phase-Plane Analysis Introduction and Motivation	Chapter 3 (PDF)
34	Phase Plane Drawing Rules	Chapter 3 (PDF)
35	Phase - Plane Example I Carry-on Suitcase
36	Phase - Plane Example II Satellite System	Chapter 3 Extra (PDF) Chapter 4 (PDF) Chapter 5 (PDF)
37	Phase - Plane Example III Satellite System	Chapter 3 Extra (PDF) Chapter 4 (PDF) Chapter 5 (PDF)
38	Phase - Plane and Parameter Dependence of System Dynamics	Chapter 6 (PDF)
39	Phase - 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.)