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All the readings in this section refer to book mentioned below:

Van de Vegte, John. ¡m¦^±Â±±¨î¨t²Î¡n²Ä¤Tª©. Prentice Hall, 1994.
Van de Vegte, John. Feedback Control Systems. 3rd ed. Prentice Hall, 1994.

½Ò ½Òµ{³æ¤¸ ¾\Ū§÷®Æ ­«­n¤é¤l
³æ¤¸1 : ±±¨î¨t²Î¤ÀªR
Module 1: Control System Analysis
1 ½Òµ{²¤¶
Course Introduction

½Òµ{¶i¦æ¤è¦¡¡B¾Ç²ß¥Ø¼Ð¡B¼Æ¾Ç¸ê·½¡B½u©Ê¥N¼Æ´úÅç
Course Administration, Learning Objectives, Math Resources, Linear Algebra Quiz
1.1, 1.2, 1.3
2 ±±¨î¨t²Î²¤¶
Introduction to Control Systems


±±¨î¨t²Îªº°ò¥»¤ÀÃþ©M¤@¨Ç¨Ò¤l(¶}°j¸ô©M³¬°j¸ô)¡A¤zÂZ¡B°Ñ¼ÆÅܲ§¡B½u©Ê¤Æ¼Ò«¬»P¤è¶ô¬yµ{¹Ï
First Classification and Examples of Control Systems (Open and Closed Loop), Disturbances, Parameter Variations, Linearized Models and Block Diagrams
1.1, 1.2, 1.3 §@·~1 µo¥X
Problem Set #1 Out
3 ±±¨î¨t²Î¤ÀªR»P³]­p
Control System Analysis and Design


±±¨î¨t²Î¤ÀªR»P³]­p¡B¨t²Îªº©Ê¯à¡B¦^±Âªº¥Øªº¡B¼W¯q­ì²z¡BÂಾ¨ç¼Æ¡B¤è¶ô¬yµ{¹Ï
Control System Analysis and Design, The Performance of a System, Motivations for Feedback, The Concept of Gain, Transfer Functions, Block Diagrams
1.2, 1.4, 1.7 (¨ì14­¶¤W­±), 3.7(°Ñ¦Ò²Ä2 & 3³¹), ½Ò°óÁ¿½Z
1.2, 1.4, 1.7 (to top of page 14), 3.7(Chapters 2 & 3 for reference), lecture notes
4 ¤zÂZ»PÆF±Ó«×
Disturbances and Sensitivity


¦^±Â¨t²Îªº©Ê¯à¡B¦^±Âªº¥Øªº¡B¹ï°Ñ¼ÆÅܲ§»P¼Ò«¬¤£½T©w©ÊªºÆF±Ó«×¡BÆF±Ó«×¨ç¼Æ¡B¤zÂZªº¼vÅT
The Performance of Feedback Systems, Motivations for Feedback, Sensitivity to Parameter Variations and Model Uncertainty, Sensitivity Functions, Effects of Disturbances
4.1, 4.2
5 íºA»~®t
Steady-State Errors


íºA»~®t¡B¿n¤À¾¹ªº­«­n©Ê¡A¹ï©ó³¬°j¸ô¨t²Î¥D­nªº«Øºc¤è¶ô©MíºA¸ê°Tªº¶É¦V
Steady-State Errors, The Importance of Integrators as Fundamental Building Blocks and the Steady-State Disposition of Information in a Closed Loop System
4.3, ½Ò°óÁ¿½Z
4.3, lecture notes
§@·~1 ¨ì´Á
Problem Set #1 Due

§@·~2 µo¥X
Problem Set #2 Out
6 S-¥­­±¡B·¥ÂI»P¹sÂI
S-Plane, Poles and Zeroes

¼ÈºA©Ê¯à»PS-¥­­±¡B·¥ÂI»P¹sÂI¡B´Ý­Èªº¹Ï§Î§P©w
Transient Performance and the S-Plane, Poles and Zeroes, Graphical Determination of Residues
1.7 (±q14­¶¤W­±), 1.8, 1.9
1.7 (from top of pg. 14), 1.8, 1.9
7 ¼ÈºAÅTÀ³©Mí©w«×
Transient Response and Stability

¨t²Îí©w«×¡B·¥ÂI¦ì¸m»P®É¶¡ÅTÀ³¡B¤@¶¥»P¤G¶¥¨t²Î¯S¼x
System Stability, Pole Location and Time Response, First and Second Order System Signatures
4.4
8 ¥D¼ÒºA
Dominant Modes

¥D¼ÒºAªº­ì²z¡B«I¤J·¥ÂI¡B°ª¶¥¨t²Î¡B´Ý­È¤j¤pªº­«­n©Ê»P®É¶¡±`¼Æ
Concept of a Dominant Mode, Invading Poles, High-Order Systems, The Importance of Magnitude of Residues and Time Constants of Terms
1.8, 4.4, ½Ò°óÁ¿½Z
1.8, 4.4, lecture notes
§@·~2 ¨ì´Á
Problem Set #2 Due

§@·~3 µo¥X
Problem Set #3 Out
9 ¼ÈºAÅTÀ³»P©Ê¯à
Transient Response and Performance

¼ÈºAÅTÀ³©Ê¯à·Ç«h(aka Metrics)¡B¨t²Î¹sÂIªº¨Ó·½¡B¦^±Â·¥ÂI»P³¬°j¸ô¹sÂI
Transient Response Performance Criteria (aka Metrics), Sources of System Zeros, Feedback Poles and Closed Loop Zeros
5.1, 5.2
10 ¹sÂIªº¼vÅT
Effects of Zeroes

¼W¥[¤@­Ó¹sÂI¨ì¬Û²§·¥ÂI¼Ò«¬ªº¼vÅT¡Bªø§À¤Ú
The Effects of Adding a Zero to Various Pole Patterns, The Long Tail
5.3 §@·~3 ¨ì´Á
Problem Set #3 Due

¹êÅç1 µo¥X
Lab #1 Out
³æ¤¸ 2¡Gª¬ºAªÅ¶¡ªk
Module 2: State-Space Methods
11 ª¬ºAªÅ¶¡
State Space

¨t²Îª¬ºA­ì²z¡Bª¬ºA¦V¶q©w¸q»PLTI¨t²Îªºª¬ºAªÅ¶¡ªí¥Ü
The Concept of System State, State Vector Definition and State Space Representation of LTI Systems
11.1, 11.2
12 ª¬ºAªÅ¶¡¼Ò¦¡
State Space Modeling

Ãö©ó¤@­Ón¶¥·L¤À¤èµ{¦¡ªºª¬ºAªÅ¶¡¼Ò«¬¡BÂಾ¨ç¼Æªºª¬ºAªÅ¶¡¼Ò«¬¡B½×¨Ò
State Space Model for an nth Order Differential Equation, State Space Models for Transfer Functions, Examples
11.3
13 ¦A½×ª¬ºAªÅ¶¡¼Ò¦¡»PÂಾ¨ç¼Æ¯x°}
More State Space Modeling and Transfer Function Matrices


¨ã¦³¹sÂIªºÂಾ¨ç¼Æ¡B¹ï¦V¶q/¯x°}·L¤À¤èµ{¦¡ªºLaplace Âà´«
Transfer Functions with Zeros, Laplace Transforms for Vector/Matrix Differential Equations
11.4 ¹êÅç1 ¨ì´Á
Lab #1 Due

§@·~4 µo¥X
Problem Set #4 Out
14 Quanser ¼Ò¦¡»Pª¬ºAÂಾ¯x°}
Quanser Model and State Transition Matrices


Quanserªºª¬ºAªÅ¶¡¼Ò«¬¡Bª¬ºA·L¤À¤èµ{¦¡ªº»ô¦¸¸Ñ©Mª¬ºAÂಾ¯x°}
State Space Model of the Quanser, Homogeneous Solution of State Differential Equations and State Transition Matrices
11.5
15 ª¬ºAªÅ¶¡·L¤À¤èµ{¦¡ªº¸Ñ
Solutions of State Space Differential Equations

ª¬ºAªÅ¶¡·L¤À¤èµ{¦¡ªº³q¸Ñ¡B¹ï±`¼Æ¿é¤JªºQuanser ¨Ò¤l
General Solution of State Space Differential Equations, Quanser Example for Constant Input
½Ò°óÁ¿½Z
lecture notes
16 ¥i±±¨î©Ê
Controllability

¥i±±¨î©M¤£¥i±±¨î¨t²Îªº¤@¨Ç²³æ¨Ò¤l¡B¥i±±¨îªº¥D­n©w¸q»P¹ï³æ¿é¤J¨t²Îªº¥i±±¨î±ø¥ó
Simple Examples of Controllable and Uncontrollable Systems, Formal Definition of Controllability and Controllability Conditions for Single Input Systems
11.7 §@·~4 ¨ì´Á
Problem Set #4 Due
17 ´úÅç 1
Quiz 1


½Ò°ó 1-15
Lectures 1-15
18 ¥i±±¨î©Ê(Äò)
Controllability Continued


¹ï©ó¦h¿é¤J¨t²Îªº¥i±±¨î©Ê
Controllability for Systems with Multiple Inputs
½Ò°óÁ¿½Z
lecture notes
§@·~5 µo¥X
Problem Set #5 Out
19 ª¬ºAªÅ¶¡³]­p
State Space Design

¥þª¬ºA¦^±Âªº·¥ÂI°t¸m¡B±a¦³¦^±Â·P´ú¾¹ªº³]­p
Pole Assignment with Full State Feedback, Design with Sensor Feedback
12.1, 12.2
³æ¤¸ 3¡G®É°ì¨t²Î³]­p
Module 3: Time Domain System Design
20 ¤ñ¨Ò±±¨î
Proportional Control

¤ñ¨Ò±±¨î¹ï¤@¶¥¡B¤G¶¥©M¤T¶¥¨t²Îªº®ÄÀ³¡B¹ï¤@­Ó¸û¦nªº±±¨î¾¹ªº®×¨Ò
Effects of Proportional Control with First, Second and Third Order Systems, The Case for a Better Controller
½Ò°óÁ¿½Z
lecture notes
21 ±±¨î¨t²Î³]­p(®É°ì)
Control System Design (Time Domain)

³q¥Î¨t²Îªº®É°ì¤ÀªR-®Ú­y¸ñªk²¤¶¡B¨¤«×©M¤j¤p±ø¥ó
General System Analysis in the Time Domain - Introduction to the Root Locus Method, Angle and Magnitude Conditions
6.1, 6.2 §@·~5 ¨ì´Á
Problem Set #5 Due

§@·~6 µo¥X
Problem Set #6 Out
22 ®Ú­y¸ñªk«h
Root Locus Rules


®Ú­y¸ñªk«h
Root Locus Rules
6.3
23 ®Ú­y¸ñ¨Ò¤lRoot Locus Examples

®Ú­y¸ñªº¤@¨Ç¨Ò¤l
Root Locus Examples
6.4
24 ®Ú­y¸ñ³]­p
Root Locus Design


®Ú­y¸ñ©M¨t²Î³]­p¡B·¥¹sÂI¹ï®ø¡B±a¦³°¨¹F³t«×¦^±Âªº¦ì¸m¦øªA¡B¨Ï¥Î®Ú­y¸ñ³]­p¬Û¦ì»â«e¸ÉÀv¾¹
Root Loci and System Design, Pole-Zero Cancellation, Motor Position Servo with Velocity Feedback, Phase-Lead Compensator Design Using Root Loci
6.5, 6.6 §@·~6 ¨ì´Á
Problem Set #6 Due

§@·~7 µo¥X
Problem Set #7 Out
25 ¸ÉÀv¾¹³]­p
Compensator Design

¨Ï¥Î®Ú­y¸ñ³]­p¬Û¦ì¸¨«á¸ÉÀv¾¹¡B¨Ï¥Î®Ú­y¸ñ³]­pPID±±¨î²¤¶
Phase Lag Compensator Design Using Root Loci, Introduction to PID Control Using Root Loci
6.7, 6.8
³æ¤¸ 4¡GÀW°ì¨t²Î³]­p
Module 4: Frequency Domain System Design
26 ÀW²vÅTÀ³¤ÀªR
Frequency Response Analysis

©¶ªi¿é¤JªºÃ­ºA¨t²ÎÅTÀ³¡B¤G¶¥¨t²Î¨Ò¤l
Steady State System Responses to Sinusoidal Inputs, Second Order System Example
7.1, 7.2
27 ·¥®y¼Ð¹Ï
Polar Plots


¤@¶¥»P¤G¶¥·¥®y¼Ð¹Ï¡A¥t¨Ò
First and Second Order Polar Plots, Other Examples
½Ò°óÁ¿½Z
lecture notes
§@·~7 ¨ì´Á
Problem Set #7 Due

¹êÅç2 µo¥X
Lab #2 Out
28 °Ñ¼Æ­ì²z©MNyquist í©w·Ç«h
Principle of the Argument and the Nyquist Stability Criterion

Nyquist í©w·Ç«hªºµo®i
Development of the Nyquist Stability Criterion
7.3
29 ¤@¨ÇNyquist ½d¨Ò
Nyquist Examples

½d¨Ò
Examples
7.4 ¹êÅç2¨ì´Á
Lab #2 Due
30 §ó¦h Nyquist ½d¨Ò
More Nyquist Examples
½Ò°óÁ¿½Z
lecture notes
31 ´úÅç 2
Quiz 2


½Ò°ó 16-27
Lectures 16-27
§@·~8 µo¥X
Problem Set #8 Out
32 ¼W¯qÃä­­©M¬Û¦ìÃä­­
Gain and Phase Margins

¼W¯qÃä­­©M¬Û¦ìÃä­­·Ç«h©M¤@¨Ç¨Ò¤l
The Gain and Phase Margin Criteria and Examples
7.6
33 ¼W¯q-¬Û¦ì¥­­±»PNichols¦±½u¹Ï
The Gain-Phase Plane and Nichols Charts

Nichols¦±½u¹Ïªº¨Ï¥Î©M¤@¨Ç¨Ò¤l
Use of Nichols Charts and Examples
8.5
34 ¶}°j¸ô»P³¬°j¸ô¦æ¬°©M¤G¶¥¨t²Î½d¨Ò
Open and Closed Loop Behavior and the Second Order System Paradigm


°ò©ó¤G¶¥¨t²Î½d¨ÒªºÀW²vÅTÀ³·Ç«h
Frequency Response Criteria Based on Second Order System Paradigm
8.3 §@·~8 ¨ì´Á
Problem Set #8 Due

§@·~9 µo¥X
Problem Set #9 Out
35 Bode¹Ï
Bode Diagrams
36 ¤@¶¥»P¤G¶¥¨t²ÎBode¹Ï
First and Second Order System Bode Diagrams
37 ¸ÉÀv©MBode³]­p
Compensation and Bode Design
§@·~9 ¨ì´Á
Problem Set #9 Due
38 §ó¦hªºBode ³]­p
More Bode Design
39 ½m²ß½Ò
Train Lecture

 
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