759线性系统理论Linear System Theory

長庚大學電機系
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課程目標及背景需求
介紹如何以數學模式去分析線性系統，並 介紹穩定性、可控性、可觀測性、狀態迴 授及估測等重要觀念，以及如何設計控制 器、觀測器。 背景需求
– Linear Algebra – Elementary Differential Equation
長庚大學電機系
長庚大學電機系
1-3
教
• Textbook:
科
書
– C.-T. Chen, Linear System Theory and Design, 3rd Ed., Oxford University Press, 1999.
• Reference:
– T. Kailath, Linear Systems, Prentice-Hall, 1980.
Theoretical analysis rather than trial and errors.
Theoretical analysis is important because
– physical system is usually too expensive or too dangerous to be experimented – thorough understanding of system behaviors
長庚大學電機系
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課 程 簡 介
Mathematical description of systems Review of Linear Algebra (when necessary)
State-space solutions and realization
Stability Controllability and observability
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線 性 系 統 理 論 Linear System Theory
林心宇 長庚大學電機工程學系
2010秋
長庚大學電機系
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教師資料
教師：林心宇
– – – – Office Room: 工學大樓六樓 Telephone: Ext. 3221 E-mail: shinylin@mail.cgu.edu.tw Office Hour: 2:00 – 4:00 pm, Thursady
Interpretation
Analytic Solutions, Numerical Solutions, or Qualitative Analysis
Understanding Prediction system’s behavior)
Control (Change
長庚大學電機系
Spring/mass system:
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Why Study This Course
Broad applications cover many areas such as control systems, signal processing, communications, aeronautics, etc.
Availability of powerful toolbox MATLAB
State feedback and state estimation
Controller and observer design
Minimal realizations (option)
Measure of controllability (option)
長庚大學電機系
1-10
評 量 標 準
l unstretched l
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l +s
m
x
m
s
x=0
equilibrium position mg – ks =0
in motion
– Observed from experiment: damping force ~ velocity – By Newton’s Law:
mg k (s x) x kx x mx x kx 0 mx
長庚大學電機系
1-6
Why Need Theoretical Background
To investigate more insight of system behavior
長庚大學電機系
1-7
Physical Model
Physical Laws
Mathematical Model
Solving
作業 (20%)
正式考試 2 次 (各40%)
長庚大學電機系Βιβλιοθήκη Baidu