Fundamentals of modern control theory

Chapter 1 Introduction
1.1 Introduction to Control Theory
1.2 The Development of Control Theory
1.3 The Knowledge System and Superiority of Modern Control Theory
1.4 Application of Modern Control Theory
Chapter 2 State Space Model
2.1 State Variable and State Space Expression
2.2 State Space Representation of Linear Dynamic System
2.3 System Block Diagram of State Space Expressions
2.4 Linear Transformation of State Equation
2.5 State Space Representation of Discrete System
Chapter 3 The Solution of State Space Expression
3.1 Solving the Time-invariant Homogeneous State Equation
3.2 Properties of State-Transition Matrices
3.3 The Calculation of Matrix Exponential Function
3.4 Solution of Nonhomogeneous State Equations
3.5 Solution of Discrete Nonhomogeneous State Equations
Chapter 4 Controllability and Observability of Linear Control Systems
4.1 Definition of Controllability
4.2 Controllability of Linear Time Invariant Systems
4.3 Observability of Linear Continuous Time Invariant Systems
4.4 Controllability and Observability of Discrete Time Systems
4.5 Controllability and Observability of Time-Varying System
4.6 Duality Relationship Between Observability and Controllability
4.7 Controllable Canonical Form Type and Observable Canonical Form Type of State Space Expression
4.8 Structural Decomposition of Linear Systems
4.9 Realization of Transfer Function Matrix
Chapter 5 Stability and Lyapunov Method
5.1 Definition of Stability for Lyapunov's Theory
5.2 Lyapunov's First Method
5.3 Lyapunov's Second Method
5.4 The Application of Lyapunov Method in Linear System
5.5 Application of Lyapunov Method in Nonlinear System
Chapter 6 Synthesis of Linear Time Invariant System
6.1 Basic Structure and Characteristics of Linear Feedback Control System
6.2 Pole Placement Issues
6.3 System Stabilization
6.4 System Decoupling Problem
6.5 State Observer
6.6 Using State Observer to Realize State Feedback System
Chapter 7 The Optimal Control
7.1 Introduction
7.2 Minimum Principle
7.3 Bang-Bang Control
7.4 Dynamic Programming Method
7.5 Linear Quadratic Optimal Control Problem
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