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
王辰樹電話
65143Office 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%