胡健、劉麗娜編著的《現代控制理論》介紹了現代控制理論的基本概念、理論和方法。其中，很多概念是**抽像的，對它們的學習和理解需要用到較多的數學知識。因此，我們在闡述這些概念時盡量做到深入淺出，並提供了豐富的算例以幫助學生加深對這些重要概念的理解。

胡健、劉麗娜編著的《現代控制理論》內容共分為6章，主要涉及繫統 建模、繫統分析和繫統優化設計。第l章通過引入控制繫統的一些基本概念 ，給出了繫統的數學描述方式，如：狀態空間模型，傳遞函數矩陣。第2章 在時域內對繫統進行了定量分析。第3章和第章主要進行了繫統的定性分析 。其中，第3章討論了繫統的穩定性問題，第4討論了繫統的能控性和能現 性問題。第5章研究了繫統綜合設計的方法，例如：狀反饋，利用狀態觀測 器進行狀態重構。在第6章中，研究了離散繫統的建模、分析綜合設計。 《現代控制理論》可作為自動化、電氣工程廈其自動化等專業高年級 本科生以廈控制科學與工程、電氣工程等學科研究生學習現代控制理論雙 語課程的教材也可作為學習高級宏、微觀經濟學的經濟、管理學科研究生 的輔助教材。

Chapterl State Space Description
　1.1 Definition of State Space
　　1.1.1 Exmple
　　1.1.3 State Space Description
　　1.1.4 Transfer Function Matrix
　1.2 Obtaining State Space Description from I/O Description
　　1.2.1 Obtaining State Space Description from Differential Equation
　　1.2.2 Obtaining State Space Description from Transfer Function
　　1.2.3 Obtaining State Space Description from Block Diagram
　1.3 Obtaining Transfer Function Matrix from'State Space Description
　1.4 Description of Composite Systems
　　1.4.1 Basic Connection of Composite Systems
　　1.4.2 Description of the Series Composite Systems
　　l.4.3 Description of the Parallel Composite Systems
　　1.4.4 Description of the Feedback Composite Systems
　　1.5.1 Eigenvalue and Eigenvector
　　1.5.2 State Transformation
　　1.5.3 Invariance Properties of the Stare Transformation
　　1.5.4 Obtaining the Diagonal Canonical Formby State Transformation
　　1.5.5 Obtaining the Jordan Canonical Form by State Ttansformation　Problems
Chapter2 Time Response of the LTI System
　2.1 Time Response of the LTI Homogeneous System
　2.2 State Transition Matrix
　　2.2.2 Properties oi the State Transition Matrix
　2.3 Calculation of the Matrix Exponential Function
　　2.3.1 Direct Method
　　2.3.2 Laplace Transform Method
　　2.3.3 SimdariTy TransfoRation Method
　　2.3.4 Cayley Hamihon Theorem Method
　2.4 Time Response of the LTI System
Chapter3 Stability of the control System
　3.1 The Basics of Stability Theory in Mathematics
　3.2 Lyapunov Stability
　　3.2.1 Equilibrium Point
　　3.2.2 Cocepts of Lyapunov Stability
　3.3 Lyapunov Stability Theory
　　3.3.1 Fyapunov First Method
　3.4 Application of Lyapunov 2 Method to the LTI System
　3.5 Construction of Lyapunov Function to the Nonlinear System
Chapter4 Controllability and Observability
　4.1 Controllability of The LTI System
　　4.1.1 Cntrollability
　　4.1.2 Criteria of ControlIabillty
　4.2 Observability of The LTI System
　　4.2.1 Observahility
　　4.2.2 Criteria of ()bservability
　4.3 Duality
　4.4 Obtaining the Controllable and Observable Canonical Form by State Transformation
4.4.1 Obtaining the Controllable Canonical Form by State Trahsformation
　　4.4.2 Obtaining the Obserable Canonical Form by State Trarlsformation
4.5 CanonicaI Decomposition of-the LTI System
4.5.1 Controllable Canonical Decomposition
4.5.2 Observable Canonicl,Decompqsition
4.5.3 Canonical Decomposition
4.6 MinimaI Realization of the LTl System
4.6.1 Realization Problem
4.6.2 Realization of SISO System
4.6.3 Realization.of MIMO System
4.6.4 Minimal Realization Problems
Chapter5 Synthesis of the LTI System
5.1 State Feedback ControI of the.LTI System
5.1.1 State Feedback
5.1.2 Controllability and Observability of the Closed-Loop System
5.1.3 Poles Placement by State Feedback Control
5.1.4 Zeros of the Closed—Loop Systemr
5.2 Design of the State Observer
5.2.1 Full—Order State Observer：
5.2.2 Design of the Full-Qrder State Observer
5.3 Feedback System with the State ObserverProblems
Chapter6 Discrete Time Control System
6.1 State Space Description of Discrete Time System
6.1.1 State Space Description of.Discrete Time System
6.1.2 Obtaining State Space Description from Difference Equation orImpulse Transfer Function
6.1.3 Obtaining Impulse Transfer Function Matrix from StateSpace Description
6.2 State Equation Solution.of Discrete Time LTI System
6.2.1 Iterative Method
6.2.2 Transform Methodi
6.2.3 Calculation of the State Transition Matrix
6.3 Data.Sampled Control System
6.3.1 Realization Method
6.3.2 Three Basic Assumptions
6.3.3 Diseretization from the State Solution of Continuous Time Systern
6.3.4 Approximate Discretization
6.4 Discrete Time System Stability Analysis and Criteria
6.4.1 Lyapunov Stability of Discrete Time System
6.4.2 Lyapunov Stability Theorem of Discrete Time System
6.4.3 Stability Criteria of Discrete Time LTI System
6.5 Controllability and Observability of Discrete Time LTI System
6.5.1 Controllability
6.5.2 Observability
6.5.3 Condition of Remaining Controllability and Observability by Sampling
6.6 Control Synthesis of Discrete Time LTI System.
6.6.1 Design of Poles Placement
6.6.2 State ObserverProblems
Index
References