正版 现代控制理论 Zhang Yi,Zhang Qingling,Liu Xi[著] 科学

Preface

Chapter 0  Backgrounds

  0.1  Development of Control Theory

  0.2  Main Contents of Modern Control Theory

Chapter 1  Mathematical Description of Systems

  1.1  Example

  1.2  Basic Definitions

  1.3  System Descriptions

  1.4  Finding State Equations from High-Differential Operator Representation

    1.4.1  Controllable Canonical Form

    1.4.2  Observable Canonical Form

    1.4.3  Other Special Form

  1.5  Block Diagram

  1.6  Transfer Function from State Space Representation

    1.6.1  Definition

    1.6.2  Calculation for the Transfer Function Matrix

  1.7  Composite Systems

    1.7.1  Tandem Connection

    1.7.2  Parallel Connection

    1.7.3  Feedback Connection

  1.8  Equivalent Transformation

    1.8.1  Equivalent Transformation of the State Space Description for Linear Systems

    1.8.2  Diagonal Canonical Form and Jordan Canonical Form of the System

    1.8.3  Invarianee of the System Matrix and Transfer Function Matrix

  1.9  Application of MATLAB in the Representation of Linear Systems

  1.10  Exercises

Chapter 2  Solutions

  2.1  State Transition Matrix

  2.2  Matrix Exponential

    2.2.1  Definition

    2.2.2  Properties of the Matrix Exponential

    2.2.3  Calculations for the Matrix Exponential

  2.3  Solution of Linear Time-Invariant Systems

  2.4  Solution of Linear Time-Varying Systems

  2.5  Linear Discrete Time-Invariant Systems

    2.5.1  Discretization of Linear Discrete Time-Invariant Systems  "

    2.5.2  Solutions of the Linear Discrete Time-Invariant Systems

  2.6  MATLAB for Linear System Motion Analysis

  2.7  Exercises

Chapter 3  Controllability and Observability

  3.1  Definitions

    3.1.1  Controllability

    3.1.2  Observability

  3.2  Controllability of Linear Continuous Systems

    3.2.1  Time-Invariant Systems

    3.2.2  Time-Varying Systems

    3.2.3  Controllability Index

  3.3  Observability of Linear Continuous Systems

    3.3.1  Time-Invariant Systems

    3.3.2  Time-Varying Systems

    3.3.3  Observability Index

  3.4  Principle of Duality

  3.5  Controllable and Observable Canonical Forms of SISO

  3.6  Structural Decomposition of Linear Systems

    3.6.1  Controllability and Observability of Linear Time-Invariant Systems with Nonsingular Transformation

    3.6.2  Controllability Decomposition

    3.6.3  Observable Decomposition

    3.6.4  Canonical Decomposition

  3.7  MATLAB Application for Controllability and Observability

  3.8  Exercises

Chapter 4  Irreducible Realizations

  4.1  Introduction

  4.2  The Realization of Transfer Function Matrix of SISO Control Systems..

  4.3  The Realization of Transfer Function Matrix of MIMO Control Systems

  4.4  The Minimal Realization

  4.5  Irreducible Realization by MATLAB

  4.6  Exercises

Chapter 5  Stability

  5.1  Definitions

  5.2  Stability Criteria

    5.2.1  Routh Criterion

    5.2.2  Root Locus Method

    5.2.3  The First Method of Lyapunov

    5.2.4  The Second Method of Lyapunov

    5.2.5  Krasovsky Discriminance

    5.2.6  Variable Gradient Method

  5.3  Application of MATLAB in Stability

  5.4  Exercises

Chapter 6  Feedbacks

  6.1  Definitions

    6.1.1  State Feedbacks

    6.1.2  Output Feedbacks

    6.1.3  Derivative Feedback

  6.2  The Effects of Controllability and Observability by Feedback

    6.2.1  State Feedbacks

    6.2.2  Output Feedbacks

  6.3  Pole Assignment

    6..3.1  SISO Case

    6.3.2  MIMO Case

  6.4  Stabilization

  6.5  Decoupling

    6.5.1  The Statement of Decoupling Control Problem

    6.5.2  Necessary and Sufficient Conditions for Decoupling Systems with the State Feedback

  6.6  Application of MATLAB in Feedback

    6.6.1  State Feedback and Pole Assignment by MATLAB

    6.6.2  Decoupling by MATLAB

  6.7  Exercises

Chapter 7  Observers

  7.1  Basic Concepts

  7.2  Dimensional State Observers

  7.3  Reduced-Dimensional State Observers

  7.4  Feedback System with State Observers

  7.5  Design State Observers by MATLAB

  7.6  Exercises

Chapter 8  Optimal Control

  8.1  Optimal Control Problems

    8.1.1  Examples

    8.1.2  Description of Optimal Control Problems

  8.2  The Calculus of Variations to the Optimal Control

    8.2.1  The Basis of Yhnctional and Variation

    8.2.2  The Eulerian Equation

    8.2.3  Conditional Extremum

    8.2.4  The Calculus of Variation

  8.3  Linear Quadratic Regulator Problems

    8.3.1  The Statement of LQR

    8.3.2  The Finite-Time State Regulator Problems

   8.3.3  The Infinite-Time State-Regulator Problems

   8.3.4  The Output-Regulator Problems

   8.3.5  The Tracking Problems

  8.4  The Application of MATLAB in Optimal Control Problems.-

  8.5  Exercises

Bibliography

     建立在状态空间法基础上的一种控制理论，是自动控制理论的一个主要组成部分。在现代控制理论中，对控制系统的分析和设计主要是通过对系统的状态变量的描述来进行的，基本的方法是时间域方法。现代控制理论比经典控制理论所能处理的控制问题要广泛得多，包括线性系统和非线性系统，定常系统和时变系统，单变量系统和多变量系统。它所采用的方法和算法也更适合于在数字计算机上进行。现代控制理论还为设计和构造具有指定的性能指标的*控制系统提供了可能性。
     这本由Zhang Yi、Zhang Qingling、Liu Xi编写的《现代控制理论(普通高等教育十一五*规划教材配套英文教材)》是关于介绍“现代控制理论 ”的英文版教材。