課程資訊
課程名稱
線性控制系統
Linear Control Systems 
開課學期
107-1 
授課對象
學程  全電化都會運輸系統基礎技術學分學程  
授課教師
王富正 
課號
ME5220 
課程識別碼
522 U5040 
班次
 
學分
3.0 
全/半年
半年 
必/選修
選修 
上課時間
星期三6,7,8(13:20~16:20) 
上課地點
共104 
備註
先修科目:自動控制。全電化運輸學程-核心。
總人數上限:85人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1071ME5220_linear 
課程簡介影片
 
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課程概述

This course is designed as the second control course, for both graduate and undergraduate students. In Automatic Control, we learned about the classical control methods, such as root-locus, Bode plot, and Nyquist criterion. In this course, we focus on the so-called modern-control (state-space) methods, such as controllability, Observability, State Feedback, Observer Design, and LQG control.

In addition, we will also talk about some advanced transfer function methods, such as pole-placement and two-DOF design. At the end, we will introduce the basic concepts of robust control.  

課程目標
This course covers three parts:

(1) State-space control design
a) state-space realization of systems, operation on systems, similarity transformation
b) solutions of LTI, LTV systems.
c) stability of systems.
d) Lyapunov stability theory.
e) controllability and observability.
f) eigenvalue assignment control, and LQ control.
g) observer design, and Kalmen filter.

(2) Transfer function control design
a) pole placement control by Bezout identity.
b) internal modeling principle.
c) closed loop design specifications in frequency domain.

(3) Robust Control
 
課程要求
預修課程 : 自動控制。
Students are expected to spend at least 3 hours/week to review and
practice the materials.  
預期每週課後學習時數
 
Office Hours
每週三 17:00~19:00
每週一 13:30~14:30 備註: 1.老師時間 2. 助教時間 
指定閱讀
 
參考書目
1. C.T. Chen, Linear Systems, Theory and Design, 3rd Ed.
2. J. Dwight Aplevich, The Essentials of Linear State-Space Systems.
3. J.C. Doyle, B.A. Francis and A.R. Tannenbaum, Feedback Control Theory,
Downloadable from: http://www.control.utoronto.ca/people/profs/francis/dft.html
 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
期末考 
30% 
 
2. 
第二次期中考 
25% 
 
3. 
第一次期中考 
25% 
 
4. 
小考 
20% 
隨堂小考  
 
課程進度
週次
日期
單元主題
第1週
09/12  PART I. State-Space Methods (Modern Control)
//
Chapter 1: State-Space Models 
第3週
09/26  Chapter 2: Solutions of state-space models 
第5週
10/10  Chapter 3: Stability 
第8週
10/31  Chapter 4: Controllability and Observability 
第9週
11/07  第一次期中考 (subject to changes) 
第11週
11/21  Chapter 5: State Feedback and Estimator Design. 
第13週
12/05  PART II. Advanced Transfer Function Methods. // Chapter 6: Transfer Function Control Design. 
第14週
12/12  第二次期中考 (subject to changes)  
第16週
12/26  PART III. Robust Control. // Chapter 7: Introduction to Robust Control 
第18週
2019/01/09  期末考