課程名稱 (中文) 線性系統 (英文) Linear Systems 開課單位 電機工程學系 課程代碼 E4630 授課教師 呂虹慶 學分數 3.0 必/選修 選修 開課年級 大四 先修科目或先備能力：線性代數, 訊號與系統 課程概述與目標：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 C. T. Chen, Linear System Theory and Design, 3rd Ed. 參考教材 R. D. Strum and D. E. Kirk, Contemporary Linear System DeCarlo, Linear System.
 課程大綱 學生學習目標 單元學習活動 學習成效評量 備註 週 單元主題 內容綱要 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 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 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 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 8 State Space Solutions and Realizations Realizations Realizations 講授 平時考 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 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 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 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 15 State Feedback and State Estimators 1. State Feedback 2. Regulation and Tracking 1. State Feedback 2. Regulation and Tracking 講授 作業 16 State Feedback and State Estimators State Estimators State Estimators 講授 平時成績 平時考 17 State Feedback and State Estimators Feedback From Estimated States Feedback From Estimated States 講授 學期成績 作業 18 Pole placement pole placement pole placement 閱讀討論 期末考 Final Exam
 教學要點概述： 教材編選： ■ 自編教材 ■ 教科書作者提供 評量方法： 期末考：30%   期中考：30%   其他評量：10%   平時考：10%   作業：20%   教學資源： ■ 教材電子檔 □ 課程網站教學相關配合事項：教材電子檔講解為主, 黑板講解為輔. 扣考規定：http://eboard.ttu.edu.tw/ttuwebpost/showcontent-news.php?id=504