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½Ķ¡G§d«a¼w (Ted Wu)(²¤¶¨Ã±H«H)
½s¿è¡G¦¶¾ÇùÚ(²¤¶¨Ã±H«H)

¥H¤U©Ò¦C¥XªºÅª®Ñ¶µ¥Ø¬O¥H¤U¤T¥»±Ð¬ì®Ñ©Ò¥]§tªº: ¡]½Ò¥»¦WºÙ¦P¤W¡^
The readings listed below are from three textbooks:

VdV: Van De Vegte, J. ¡m°j±Â±±¨î¨t²Î¡n(Feedback Control Systems). Prentice Hall PTR, 1993. ISBN: 0-13-016379-1.

RMS: Rohrs, C. E., J. L. Melsa, and D. G. Schultz. ¡m½u©Ê±±¨î¨t²Î¡n(Linear Control Systems). McGraw Hill, 1993. ISBN: 0-07-041525-0.

G&VV
: Gelb, A., and W. E. Vander Velde. ¡m¦h­«¿é¤J§Î®e¨ç¼Æ»P«D½u©Ê¨t²Î³]­p¡n(Multiple-Input Describing Functions and Nonlinear System Design). McGraw Hill, 1968.

¾ã¥»G&VV ®Ñ¥i¦b¤U­±¤U¸ü¡C
The entire G&VV book is also downloadable below.

½Ò ½Òµ{³æ¤¸ ¾\Ū¸ê®Æ
1 ²¤¶
Introduction
VdV: ²Ä7³¹, ²Ä1-4¸`
VdV: Chapter 7, S 1-4
2 ÀW²v¦^À³ªi¼w¹Ï¤§³W«h
Frequency Response Bode Plot Rules
VdV: ²Ä7³¹, ²Ä5¸`
VdV: Chapter 7, S 5
3 ÀW²v¦^À³ (Äò) ¼W¯q­È©M¬Û¦ìÃä­­
Frequency Response (cont.) Gain / Phase Margins
VdV: ²Ä7³¹, ²Ä6¸`
VdV: Chapter 7, S 6
4 ªi¼w¹Ï²ßÃD
Bode Plot Exercises
VdV: ²Ä7³¹, ²Ä7-8¸`
VdV: Chapter 7, S 7-8
5 ¤£Ã­©w¶}°j¸ô¨t²Î¤§ªi¼w¹Ï
Bode Plots for Unstable Open - Loop Systems
6 ®Ú­y¸ñ½Æ²ß
Root - Locus Review
VdV: ²Ä6³¹, ²Ä1-3¸`
VdV: Chapter 6, S 1-3
7 ®Ú­y¸ñ½d¨Ò
Root - Locus Examples
VdV: ²Ä6³¹, ²Ä4-6¸`
VdV: Chapter 6, S 4- 6
8 ¸ÉÀv³]­p­ì²z
Compensation Design Principles
RMS: ²Ä8³¹, ²Ä1-2¸`
RMS: Chapter 8, S 1-2
9 ¸ÉÀv³]­p­ì²z(Äò)
Compensation Design Principles (cont.)
RMS: ²Ä8³¹, ²Ä1-2¸`
RMS: Chapter 8, S 1-2
10 µ¥¤ñ±±¨î
Proportional Control + Extra Handout
RMS: ²Ä8³¹, ²Ä1-2¸`
RMS: Chapter 8, S 1-2
11 ¸¨«á»P·L¿n¤À¸ÉÀv
Lag and PID Compensation
RMS: ²Ä8³¹, ²Ä4¸`
RMS: Chapter 8, S 4
12 »â¥ý»P·L¿n¤À¸ÉÀv
Lead and PID Compensation
RMS: ²Ä8³¹,²Ä5¸`
RMS: Chapter 8, S 5
13 ½d¨Ò
Examples
RMS: ²Ä8³¹, ²Ä1-5¸`
RMS: Chapter 8, S 1-5
14 °ªÀWºu°Ê¥W¥Y»P¨t²Î³]¬I­Ë¸m
High Frequency Roll-off Notch and Plant Inversion
RMS: ²Ä8³¹, ²Ä6¸`
RMS: Chapter 8, S 6
15 »â¥ý/¸¨«á¸ÉÀv¤§³]­p½d¨Ò
Design Example Lead-Lag Compensation + Extra Handout
RMS: ²Ä8³¹, ²Ä7¸`
RMS: Chapter 8, S 7
16 ½d¨Ò (Äò)
Examples (cont.)
RMS: ²Ä8³¹, ²Ä7¸`
RMS: Chapter 8, S 7
17 §ó¦h½d¨Ò
More Examples
RMS: ²Ä8³¹, ²Ä8¸`
RMS: Chapter 8, S 8
18 ¤£Ã­©w¨t²Î³]¬I¤§±±¨î
Control of Unstable Plants
RMS: ²Ä8³¹, ²Ä9¸`
RMS: Chapter 8, S 9
19 ¤£Ã­©w¨t²Î³]¬I¤§±±¨î (Äò)
Control of Unstable Plants (cont.)
RMS: ²Ä8³¹, ²Ä9-10¸` + RMS: 6.6
RMS: Chapter 8, S 9-10 + RMS: 6.6
20 ¤p¦Ò
Quiz
21 «D½u©Ê¼Ò«¬
Models of Nonlinearities
²¤¶ (PDF) (¥ÑD. B. DeBra ´£¨Ñ¨Ã±ÂÅv¨Ï¥Î.)
Introduction (PDF) (Courtesy of D. B. DeBra. Used with permission.)

²Ä1³¹ (PDF)
²Ä2³¹(PDF)
Chapter 1 (PDF)
Chapter 2 (PDF)
22 «D½u©Êªº¤@¯ë¼vÅT
Common Effects of Nonlinearities
G&VV: 1.0-1.3 (PDF - 2.3 MB) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
G&VV: 1.0-1.3 (PDF - 2.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
23 David Trumper ±Ð±Â¤W½Ò
Prof. David Trumper's Lecture
24 §Î®e¨ç¼Æ»P¥Î·N¤§Â²¤¶
Describing Functions Introduction and Motivation
G&VV: 1.4-1.6 (PDF - 2.3 MB) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
G&VV: 1.4-1.6 (PDF - 2.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
25 §Î®e¨ç¼Æ¤§¤ÀªR
Describing Function Analysis
G&VV: 3.0-3.1 (PDF - 4.3 MB)(¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
G&VV: 3.0-3.1 (PDF - 4.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
26 DF¤§­pºâ (DF = §Î®e¨ç¼Æ)
Computing DFs
G&VV: ²Ä2³¹ (PDF - 2.6 MB)(¥Ñ Authur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
G&VV: Chapter 2 (PDF - 2.6 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
27 DF ¤ÀªR: ½d¨Ò¤@, ²î¥Î¦Û°Ê¾r¾p¤§Ã­©w©Ê
DF Analysis: Example 1, Stability of Boat Autopiloot
µ§°O
Notes
28 DF ¤ÀªR: ½d¨Ò¤@ (Äò)
DF Analysis: Example 1 (cont.)
µ§°O
Notes
29 DF ¤ÀªR: ­­¨î©Ê´`Àô´Á
DF Analysis: Limit Cycling
G&VV: 3.2 (PDF - 4.3 MB) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
G&VV: 3.2 (PDF - 4.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
30 DF ¤ÀªR: ¦@»ï¸õÅD
DF Analysis: Jump Resonance
G&VV: 3.3 (PDF - 4.3 MB) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
G&VV: 3.3 (PDF - 4.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
31 DF-¬°°ò¦ªº¸ÉÀv³]­p
DF-based Compensation Design
G&VV: 3.5 (PDF - 4.3 MB) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
G&VV: 3.5 (PDF - 4.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
32 DF-¬°°ò¦ªº¸ÉÀv³]­p (Äò)
DF-based Compensation Design (cont.)
G&VV: 3.5 and 3.7(PDF - 4.3 MB) (¥Ñ Authur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
G&VV: 3.5 and 3.7 (PDF - 4.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)
33 ¬Û¦ì­±¤ÀªR»P¥Î·N¤§Â²¤¶
Phase-Plane Analysis Introduction and Motivation
²Ä3³¹ (PDF)
Chapter 3 (PDF)
34 ¬Û¦ì­±Ã¸¹Ïªk«h
Phase Plane Drawing Rules
²Ä3³¹ (PDF)
Chapter 3 (PDF)
35 ¬Û¦ì­±½d¨Ò¤@ Äâ±a¦¡¤½¨Æ¥]
Phase - Plane Example I Carry-on Suitcase
36 ¬Û¦ì­±½d¨Ò¤G ½Ã¬P¨t²Î
Phase - Plane Example II Satellite System
²Ä3³¹ ¥~¥[ªº (PDF)
²Ä4³¹ (PDF)
²Ä5³¹(PDF)
Chapter 3 Extra (PDF)
Chapter 4 (PDF)
Chapter 5 (PDF)
37 ¬Û¦ì­±½d¨Ò¤T ½Ã¬P¨t²Î
Phase - Plane Example III Satellite System
²Ä3³¹¥~¥[ªº (PDF)
²Ä4³¹ (PDF)
²Ä5³¹ (PDF)
Chapter 3 Extra (PDF)
Chapter 4 (PDF)
Chapter 5 (PDF)
38 ¨t²Î°ÊºA¤§¬Û¦ì­±»P°Ñ¼Æ¨Ì¾a«×
Phase - Plane and Parameter Dependence of System Dynamics
²Ä6³¹(PDF)
Chapter 6 (PDF)
39 ¨t²Î°ÊºA¤§¬Û¦ì­±»P°Ñ¼Æ¨Ì¾a«× (Äò)
Phase - Plane and Parameter Dependence of System Dynamics (cont.)
²Ä6³¹ (PDF)
Chapter 6 (PDF)
´Á¥½¦Ò (¤T¤p®É)
Final Exam (3 hours)

¥i¤U¸üªº±Ð¬ì®Ñ
Downloadable Textbook

§¹¾ãªºG&VV±Ð¬ì®Ñ (Gelb, A., and W. E. Vander Velde. ¡m¦h­«¿é¤J§Î®e¨ç¼Æ»P«D½u©Ê¨t²Î³]­p¡n McGraw Hill, 1968) ¦b¤U­±´£¨Ñ¡C

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.

²Ä1³¹. ¥Ø¿ý, «D½u©Ê»P§Î®e¨ç¼Æ (PDF - 2.3 MB) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
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.)

²Ä2³¹. ¥¿©¶¿é¤J§Î®e¨ç¼Æ (PDF - 2.6 MB) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Chapter 2. Sinusoidal Input Describing Function (PDF - 2.6 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)

²Ä3³¹. «D½u©Ê¨t²Î¤¤ªºÃ­©wª¬ºA®¶´T (PDF - 4.3 MB) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Chapter 3. Steady-state Oscillations in Nonlinear Systems (PDF - 4.3 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)

²Ä4³¹. «D½u©Ê¨t²Î¤¤ªºÅÜ´«´Á®¶´Ttems (PDF - 1.7 MB)(¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Chapter 4. Transient Oscellations in Nonlinear Systems (PDF - 1.7 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)

²Ä5³¹. ¨â²Õ¥¿©¶¿é¤J§Î®e¨ç¼Æ (PDF - 1.9 MB)(¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Chapter 5. Two-sinusoid-input Describing Function (PDF - 1.9 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)

²Ä6³¹. Âù­«¿é¤Jªº§Î®e¨ç¼Æ (PDF - 2.8 MB)(¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Chapter 6. Dual-input Describing Function (PDF - 2.8 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)

²Ä7³¹. «D½u©Ê¨t²Î¤¤ªº¨ä¥L»PÀH¾÷ªº°T¸¹ (PDF - 3.1 MB) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Chapter 7. Random and Other Signals in Nonlinear Systems (PDF - 3.1 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)

²Ä8³¹. «D½u©Ê¨t²Î¤¤ªºµL®¶´TÅÜ´«´Á (PDF) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Chapter 8. Nonoscillatory Transients in Nonlinear Systems (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)

²Ä9³¹. «D½u©Ê¨ú¼Ë¨t²Î¤Wªº®¶´T (PDF - 2.4 MB) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Chapter 9. Oscillations in Nonlinear Sampled-data Systems (PDF - 2.4 MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)

ªþ¿ýA. ®¶´T-¤ñ¨Ò-¤À¨©¤§´«ºâ(PDF) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Appendix A. Amplitude-ratio-Decibel Conversion Tables (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)

ªþ¿ýB. ¥¿©¶¿é¤J§Î®e¨ç¼Æªí (PDF) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Appendix B. Table of Sinusoidal-Input Describing Functions (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)

ªþ¿ýC. Âù­«¿é¤Jªº§Î®e¨ç¼Æªí (PDF)(¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Appendix C. Table of Dual-input Describing Functions (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)

ªþ¿ýD. ¨â²Õ¥¿©¶¿é¤J§Î®e¨ç¼Æªí (PDF) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Appendix D. Table of Two-sinusoid-input Describing Functions (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)

ªþ¿ýE. ÀH¾÷¿é¤J§Î®e¨ç¼Æªí (PDF) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Appendix E. Table of Random-input Describing Functions (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)

ªþ¿ýF. ¨ú¼Ë¬O§Î®e§t¼Æªí (PDF) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Appendix F. Table of Sampled Describing Functions (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)

ªþ¿ýG. ¥H¤ÀªR¨Ó»{ÃÒÂoªi¾¹¤§°²³]Analytical Justification for the Filter Hypothesis(PDF)(¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Appendix G. Analytical Justification for the Filter Hypothesis (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)

ªþ¿ýH. ¥i¯à©Ê»PÀH¾÷µ{§ÇªºÂ²¤¶ (PDF) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Appendix H. Introduction to Probability and Random Process (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)

¯Á¤Þ (PDF) (¥ÑAuthur Gelb »P Wallace Vander Velde´£¨Ñ¨Ã±ÂÅv¨Ï¥Î)
Index (PDF) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.)


 
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