教學大綱表 Syllabus
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課程名稱
Course Title
(中文) 線性系統
(英文) Linear Systems
開課單位
Departments
電機工程學系
課程代碼
Course No.
E4630
授課教師
Instructor
呂虹慶
學分數
Credit
3.0 必/選修
core required/optional
選修 開課年級
Level
大四
先修科目或先備能力Course Pre-requisites:線性代數, 訊號與系統
課程概述與目標 Course Overview and Goals:線性系统理論是控制工程學科的一門基本的理論性课程,本課程主要是藉由基本線性系統理論分析,了解模型化及建立數學方程式的重要性。
教科書
Textbook
C. T. Chen, Linear System Theory and Design, 3rd Ed.
參考教材
Reference
R. D. Strum and D. E. Kirk, Contemporary Linear System
DeCarlo, Linear System.
課程大綱
Syllabus
學生學習目標
Learning Objectives
單元學習活動
Learning Activities
學習成效評量
Evaluation
備註
Notes

Week
單元主題
Unit topic
內容綱要
Content summary
1 Introduction 1. Introduction
2. Overview
1. Introduction
2. Overview
  • 講授
  •  
    2 Mathematical Description of Systems 1. Linear Systems
    2. Linear Time-Invariant Systems
    1. Linear Systems
    2. Linear Time-Invariant Systems
  • 講授
  •  
    3 Mathematical Description of Systems 1. Causality and lumpedness
    2. Linearization
    1. Causality and lumpedness
    2. Linearization
  • 講授
  •  
    4 Linear Algebra 1. Matrix theory (Basis, Representation, and orthonormalization)
    2. Linear Algebraic Equations
    3. Similarity Transformation
    1. Matrix theory (Basis, Representation, and orthonormalization)
    2. Linear Algebraic Equations
    3. Similarity Transformation
  • 講授
  • 平時考Test
  •  
    5 Linear Algebra 1. Diagonal Form and Jordan Form
    2. Functions of a Square Matrix
    3. Lyapunov Equation
    1. Diagonal Form and Jordan Form
    2. Functions of a Square Matrix
    3. Lyapunov Equation
  • 講授
  • 作業Assignment
  •  
    6 Linear Algebra 1. Quadratic Form and Positive Definiteness
    2. Singular-Value Decomposition
    3. Norms of Matrices
    1. Quadratic Form and Positive Definiteness
    2. Singular-Value Decomposition
    3. Norms of Matrices
  • 講授
  • 作業Assignment
  •  
    7 State Space Solutions and Realizations 1. Solution of LTI State Equations
    2. Equivalent State Equation
    1. Solution of LTI State Equations
    2. Equivalent State Equation
  • 講授
  • 作業Assignment
  •  
    8 State Space Solutions and Realizations Realizations Realizations
  • 講授
  • 平時考Test
  •  
    9 State Space Solutions and Realizations 1. Solution of LTV State Equations
    2. Equivalent Time-Varying Equations
    1. Solution of LTV State Equations
    2. Equivalent Time-Varying Equations
  • 閱讀討論
  • 期中考Midterm
  • Mid-term Exam  
    10 Stability 1. Input-Output Stability of LTI Systems
    2. Internal Stability
    3. Lyapunov Theorem
    1. Input-Output Stability of LTI Systems
    2. Internal Stability
    3. Lyapunov Theorem
  • 講授
  •  
    11 Controllability and Observability 1. Controllability
    2. Observability
    1. Controllability
    2. Observability
  • 講授
  • 作業Assignment
  •  
    12 Controllability and Observability 1. Canonical Decomposition
    2. Conditions in Jordan-Form Equations
    1. Canonical Decomposition
    2. Conditions in Jordan-Form Equations
  • 講授
  • 平時考Test
  •  
    13 Minimal Realizations and Coprime Fractions 1. Implications of Coprimeness
    2. Computing Coprime Fractions
    1. Implications of Coprimeness
    2. Computing Coprime Fractions
  • 講授
  •  
    14 Minimal Realizations and Coprime Fractions 1. Balanced Realization
    2. Minimal Realizations
    1. Balanced Realization
    2. Minimal Realizations
  • 講授
  • 作業Assignment
  •  
    15 State Feedback and State Estimators 1. State Feedback
    2. Regulation and Tracking
    1. State Feedback
    2. Regulation and Tracking
  • 講授
  • 作業Assignment
  •  
    16 State Feedback and State Estimators State Estimators State Estimators
  • 講授
  • 平時成績
  • 平時考Test
  •  
    17 State Feedback and State Estimators Feedback From Estimated States Feedback From Estimated States
  • 講授
  • 學期成績
  • 作業Assignment
  •  
    18 Pole placement pole placement pole placement
  • 閱讀討論
  • 期末考Final Exam
  • Final Exam  

    教學要點概述 Overview of Teaching Points:
    教材編選 Teaching Materials: ■ 自編教材 Handout by Instructor ■ 教科書作者提供 Textbook
    評量方法 Evaluation: 期末考Final Exam:30%   期中考Midterm:30%   其他評量Others:10%   平時考Test:10%   作業Assignment:20%  
    教學資源 Teaching Resources: ■ 教材電子檔 Soft Copy of the Handout or the Textbook □ 課程網站 Website
    教學相關配合事項 Other Matters Related to the Course:教材電子檔講解為主, 黑板講解為輔.
    扣考規定 The rule of being able to take the final exam of the course:http://eboard.ttu.edu.tw/ttuwebpost/showcontent-news.php?id=504