³æ¤¸1 : ±±¨î¨t²Î¤ÀªR Module 1: Control System Analysis |
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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 |
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| 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 |
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¤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 |
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| 5 |
úA»~®t Steady-State Errors
úA»~®t¡B¿n¤À¾¹ªº«n©Ê¡A¹ï©ó³¬°j¸ô¨t²Î¥Dnªº«Øºc¤è¶ô©MúA¸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 |
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S-¥±¡B·¥ÂI»P¹sÂI S-Plane, Poles and Zeroes
¼ÈºA©Ê¯à»PS-¥±¡B·¥ÂI»P¹sÂI¡B´ÝȪº¹Ï§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 |
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¼ÈºAÅTÀ³©Méw«× Transient Response and Stability
¨t²Îéw«×¡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 |
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| 8 |
¥D¼ÒºA Dominant Modes
¥D¼ÒºAªºì²z¡B«I¤J·¥ÂI¡B°ª¶¥¨t²Î¡B´ÝȤj¤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 |
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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 |
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| 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 |
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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 |
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| 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 |
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¦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 |
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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 |
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¥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 |
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´úÅç 1 Quiz 1
½Ò°ó 1-15 Lectures 1-15 |
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¥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 |
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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 |
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³æ¤¸ 3¡G®É°ì¨t²Î³]p Module 3: Time Domain System Design |
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¤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 |
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| 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 |
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®Úy¸ñªk«h Root Locus Rules
®Úy¸ñªk«h Root Locus Rules |
6.3 |
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®Úy¸ñ¨Ò¤lRoot Locus Examples
®Úy¸ñªº¤@¨Ç¨Ò¤l Root Locus Examples |
6.4 |
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®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 |
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¸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 |
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³æ¤¸ 4¡GÀW°ì¨t²Î³]p Module 4: Frequency Domain System Design |
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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 |
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| 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 éw·Ç«h Principle of the Argument and the Nyquist Stability Criterion
Nyquist éw·Ç«hªºµo®i Development of the Nyquist Stability Criterion |
7.3 |
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¤@¨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 |
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| 31 |
´úÅç 2 Quiz 2
½Ò°ó 16-27 Lectures 16-27 |
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§@·~8 µo¥X Problem Set #8 Out |
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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 |
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| 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 |
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¶}°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 |
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Bode¹Ï Bode Diagrams |
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¤@¶¥»P¤G¶¥¨t²ÎBode¹Ï First and Second Order System Bode Diagrams |
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¸ÉÀv©MBode³]p Compensation and Bode Design |
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§@·~9 ¨ì´Á Problem Set #9 Due |
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§ó¦hªºBode ³]p More Bode Design |
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| 39 |
½m²ß½Ò Train Lecture |
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