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内容大纲
线性系统理论是控制科学领域的一门重要的基础课程。本书以线性系统为研究对象,对线性系统理论做了全面论述。本书的主要内容包括线性系统的数学模型、连续时间系统的运动分析、线性系统的能控性和能观性测、线性系统运动的稳定性和系统的状态反馈和状态观测等。本书内容丰富,理论严谨,深入浅出地阐述了线性系统的基础理论和基本方法,并配有丰富的例题和习题,帮助读者理解书中所阐述的内容。
本书可作为来华留学生线性系统理论课程的教材,也可作为控制科学与工程专业、系统工程专业和电子信息类专业等相关专业的高年级本科生和研究生的专业英语教材;还可供科学工作者和工程技术人员学习与参考。 -
作者介绍
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目录
Chapter 1 Mathematical Descriptions of Systems
1.1 System's input-output descriptions
1.2 State space descriptions of linear systems
1.3 Conversion from input-output description to state-space description
1.4 Diagonal canonical form and Jordan canonical form of state equations
1.5 Similarity transformation of linear systems
1.6 State space description of composite systems
Problems
Chapter 2 Motion Analysis of Linear Systems
2.1 Introduction
2.2 Motion analysis of LTI systems
2.3 The state transition matrix of LTI systems
2.4 Motion analysis of linear LTV systems
Problems
Chapter 3 Controllability and Observability of Linear Systems
3.1 Definition of controllability and observability
3.2 Controllability criteria of linear time-continuous systems
3.3 Observability criteria of linear time-continuous systems
3.4 Duality theorem
3.5 Controllable canonical form and observable canonical form of SISO LTI systems
3.6 Controllable canonical form and observable canonical form of MIMO LTI systems
3.7 Canonical decomposition of linear systems
Problems
Chapter 4 Stability
4.1 Input-output stability and internal stability
4.2 Several concepts about stability of Lyapunov
4.3 Main theorems of Lyapunov's second method for stability
4.4 Common construction methods of Lyapunov function
4.5 State motion stability criteria of linear systems
Problems
Chapter 5 Time-domain Synthesis of Linear Systems
5.1 State feedback and output feedback
5.2 Effects of state feedback and output feedback on controllability and observability
5.3 Pole placement of single-input systems
5.4 Pole placement of multiple-input systems
5.5 Effect of state feedback on transfer matrices
5.6 Pole placement of not completely controllable systems
5.7 Pole placement using output feedback
5.8 The decoupling of muhivariable systems by state feedback
5.9 Full-dimensional state estimator of linear systems
5.10 Feedback from estimated states
Problems
References
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