課程大綱及進度表

課程大綱及進度表

開課系所

數學所碩一、二

開課學年

100

開課學期

2

課程名稱 (中文)

線性控制系統與計算方法

課程名稱

（英文）

NUMERICAL METHODS FOR LINEAR CONTROL SYSTEMS

課程碼

L166500

分班碼 先修科目或 先備能力

Elementary Numerical Linear Algebra

學分數

3

開課教師

王辰樹

e-mail

cswang@math.ncku.edu.tw

電話

65143

Office Hours

By Appointment

課程概述

This course looks at numerical issues of algorithms for linear control systems. In doing that a clear choice is made to focus on numerical linear algebra techniques for linear time-invariant, finite dimensional systems.

教學目標

了解線性控制系統與其應用，並且熟悉相關計算方法。

授課課程大 綱明細

1. SISO and MIMO identification

2. State Space Analysis: Controllability, Observability and Minimality

3. State Space Design: State feedback and pole placement, Lyapunov and Sylvester Equations, Algebraic Riccati Equation

授課課程大 綱明細

4. Kalman filter implementations and Comparison of the different filters

5. Polynomial versus State-Space Models: System Models And Transformation Groups, State-Space Realizations of Polynomials

參考書目 ⁽¹⁾

Numerical Linear Algebra for Signal Systems and Control, 2003, by Paul M. Van Dooren

(2) 控制論中的矩陣計算，2010，徐樹方

課程要求

1. 需出席上課

2. 作業習題需親力親為

評量方式

1. 平時成績（含上課出席與習題作業）佔 60%

2. 期末考試佔 40%

課程網址

http://www.math.ncku.edu.tw/~cswang/NLAinControl2012spring.html

助教資訊

洪晟芳 L16991015@mail.ncku.edu.tw (office: room206 in Math. Building)

備註