Preface
Chapter 1 Introduction to Control Systems
1.1 Historical Review
1.2 Modern Control Theory versus Conventional Control Theory
1.3 Design of Control Systems
1.4 Outline of This Book
Chapter 2 Modeling in State Space
2.1 State Variable and State Space Expression
2.2 State Space Representation of Linear Dynamic System
2.3 From Block Diagram to State Space Representation
2.4 Linear Transform of State Equation
2.5 State Space Representations of Discrete Systems
2.6 Transformation of System Models with MATLAB
Chapter 3 Dynamic Analysis of Control System in State Space
3.1 Solving the Timeinvariant Homogeneous State Equation
3.2 Properties of Statetransition Matrices
3.3 The Calculation of Matrix Exponential Function
3.4 Solution of Nonhomogeneous State Equations
3.5 Solution of Discrete Nonhomogeneous State Equations
3.6 Computation of Control System Response with MATLAB
Chapter 4 Controllability and Observability
4.1 Controllability of Linear Timeinvariant Continuous System
4.2 Observability of Linear Timeinvariant Continuous System
4.3 Controllable Canonical Form and Observable Canonical Form
4.4 Principle of Duality
4.5 Controllability and Observability of Discrete Timeinvariant
System
4.6 Structure Decomposition of Linear Timeinvariant Continuous
System
4.7 Computation of Controllability and Observability Matrices
with MATLAB
Chapter 5 Lyapunov Stability Analysis
5.1 Stability of Lyapunov Significance
5.2 Definiteness of Scalar Function and Sylvester Theorem
5.3 Main Theorems of Lyapunov''s Second Method
5.4 Stability Criteria for Linear Timeinvariant Systems
Chapter 6 Design of Control Systems in State Space
6.1 State Feedback and Output Feedback
6.2 Pole Placement
6.3 Stabilization Problem of Systems
6.4 Solving PolePlacement Problems with MATLAB
6.5 State Observers
6.6 Design of State Observers with MATLAB
Chapter 7 Optimal Control Systems
7.1 Optimal Control Design Using Errorsquared Performance
Indices
7.2 Optimal Control Design Using Riccafi Equation
7.3 Solving Quadratic Optimal Regulator Problems with MATLAB
References
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