前言

Chapter 1  System Model

  1.1   Introduction

  1.2   Models of Systems

    1.2.1   Differential Equation

    1.2.2   Transfer Function

    1.2.3   The State-space Model

  1.3   Transition from One Mathematical Model to Another

    1.3.1   From Differential Equation to Transfer Function for SISO Systems

    1.3.2   From Transfer Function to Differential Equation for SISO Systems

    1.3.3   From G（s） to g（t） and Vice Versa

    1.3.4   From State Equations to Transfer Function Matrix

    1.3.5   From Transfer Function Matrix to State Equations for SISO Systems

  1.4   Summary

  Appendix: Three Power Generation Models

  Exercise

Chapter 2  Linear Transformation of State Vector

  2.1   Linear Algebra

  2.2   Transform to Diagonal Form and Jordan Form

  Exercise

Chapter 3  Solution of State Space Model

  3.1   Introduction

  3.2   Solution of LTI State Equations

  3.3   State Transfer Matrix

    3.3.1   Properties

    3.3.2   Calculating the state transition matrix

  3.4   Discretization

  3.5   Solution of Discrete-Time Equation

  3.6   Summary

  Exercise

Chapter 4  Stable Analysis

  4.1   Introduction

  4.2   Defimition

  4.3  Stability Criteria

    4.3.1   Lyapunov's Second Method

    4.3.2   State Dynamics Stability Criteria for Continuous Linear Systems

    4.3.3   State Dynamics Stability Criteria for Discrete Systems

  4.4   Summary

  Exercise

Chapter 5  Controllability and Observability

  5.1   Introduction

  5.2   Definition

    5.2.1   Controllability

    5.2.2   Observability

  5.3   Criteria

    5.3.1   Controllable Criteria

    5.3.2   Controllable Examples

    5.3.3   Observable Criteria

    5.3.4   Observable Examples

  5.4  Duality System

    5.4.1   Definition

    5.4.2   Properties of Duality Systems

  5.5   Canonical Form

    5.5.1   Controllability Canonical Form of Single-Input Systems

    5.5.2   Observability Canonical Form of Single-Output Systems

    5.5.3   Example

    5.5.4   Observability and Controllability Canonical Form of Multi-input Multi-Output Systems

  5.6   System Decomposition

    5.6.1   Controllability Decomposition

    5.6.2   Observability Decomposition

    5.6.3   Controllability and Observability Decomposition

    5.6.4   Minimum Realization

  5.7   Summary

  Exercise

Chapter 6  State Feedback and Observer

  6.1   Introduction

  6.2   Linear Feedback

    6.2.1   State Feedback

    6.2.2   Output Feedback

    6.2.3   Feedback from output to x

  6.3   Pole Assignment

    6.3.1   Sufficient and Necessary Condition for Arbitrary Pole Assignment

    6.3.2   Methods to Assign the Poles of a System

    6.3.3   Examples

  6.4   State Estimator

    6.4.1   Introduction

    6.4.2   State Estimator

  6.5   State Feedback Based on State Estimator

  6.6   Summary

  Appendix: State Feedback and Observer for Main Steam-temperature Control in

            Power Plant Steam-boiler Generation System

  Exercises

参考文献