Chapterl State Space Description
1.1 Definition of State Space
1.1.1 Exmple
1.1.3 State Space Description
1.1.4 Transfer Function Matrix
1.2 Obtaining State Space Description from IO
Description
1.2.1 Obtaining State Space Description from Differential
Equation
1.2.2 Obtaining State Space Description from Transfer
Function
1.2.3 Obtaining State Space Description from Block Diagram
1.3 Obtaining Transfer Function Matrix from''State Space
Description
1.4 Description of Composite Systems
1.4.1 Basic Connection of Composite Systems
1.4.2 Description of the Series Composite Systems
l.4.3 Description of the Parallel Composite Systems
1.4.4 Description of the Feedback Composite Systems
1.5.1 Eigenvalue and Eigenvector
1.5.2 State Transformation
1.5.3 Invariance Properties of the Stare Transformation
1.5.4 Obtaining the Diagonal Canonical Formby State
Transformation
1.5.5 Obtaining the Jordan Canonical Form by State
Ttansformation Problems
Chapter2 Time Response of the LTI System
2.1 Time Response of the LTI Homogeneous System
2.2 State Transition Matrix
2.2.2 Properties oi the State Transition Matrix
2.3 Calculation of the Matrix Exponential Function
2.3.1 Direct Method
2.3.2 Laplace Transform Method
2.3.3 SimdariTy TransfoRation Method
2.3.4 Cayley Hamihon Theorem Method
2.4 Time Response of the LTI System
Chapter3 Stability of the control System
3.1 The Basics of Stability Theory in Mathematics
3.2 Lyapunov Stability
3.2.1 Equilibrium Point
3.2.2 Cocepts of Lyapunov Stability
3.3 Lyapunov Stability Theory
3.3. ] Fyapunov First Method
3.4 Application of Lyapunov 2 Method to the LTI
System
3.5 Construction of Lyapunov Function to the Nonlinear
System
Chapter4 Controllability and Observability
4.1 Controllability of The LTI System
4.1.1 Cntrollability
4.1.2 Criteria of ControlIabillty
4.2 Observability of The LTI System
4.2.1 Observahility
4.2.2 Criteria of bservability
4.3 Duality
4.4 Obtaining the Controllable and Observable Canonical Form
by State Transformation
4.4.1 Obtaining the Controllable Canonical Form by State
Trahsformation
4.4.2 Obtaining the Obserable Canonical Form by State
Trarlsformation
……
Chapter5 Synthesis of the System
Chapter6 Discrete Time Control System
Index
References
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