内容简介：　　

　　As a powerful tool to study nonlinear systems and hybrid systems, piecewise affine (PWA) systems have been widely applied to mechanical systems. Control and Estimation of Piecewise Affine Systems presents several research findings relating to the control and estimation of PWA systems in one unified view.
　　Chapters in this title discuss stability results of PWA systems, using piecewise quadratic Lyapunov functions and piecewise homogeneous polynomial Lyapunov functions. Explicit necessary and sufficient conditions for the controllability and reachability of a class of PWA systems are considered along with controller and estimator design methods for PWA systems using linear matrix inequality (LMI) and bilinear matrix inequality (BMI) techniques. A PWA approach to a class of Takagi-Sugeno fuzzy system is discussed in depth. The book uses a number of mechanical systems, such as disk servo systems to illustrate the advantages of the proposed methods.

英文目录：

List of Figures
List of Tables：
Preface
Symbols and Acronyms
Logic Operators
Algebraic Operators：
Sets and Set Operators
Others
Acronyms：
1. Introduction
　　1.1 Motivations
　　1.2 Research objective and contributions
　　1.3 Organization of the book
2. Piecewise affine systems
　　2.1 Introduction
　　2.2 System model
　　2.3 Structural analysis
　　　　2.3.1 Trajectory, sliding mode and well-posedness
　　　　2.3.2 Switching sequences
　　2.4 Applications in mechanical systems
　　　　2.4.1Typical systems
　　　　2.4.2Generalized and abstract systems
　　2.5 Notes
　　Bibliography
3. Stability conditions based on PQLFs
　　3.1 Introduction
　　3.2 Piecewise quadratic Lyapunov functions
　　　　3.2.1 Stability criteria
　　　　3.2.2 A unified treatment
　　3.3 Notes
　　Bibliography
4. Stability conditions based on SOS polynomials
　　4.1 Introduction
　　4.2 Useful lemmas
　　4.3 SOS based stability results
　　　　4.3.1 Continuous-time case
　　　　4.3.2 Discrete-time case
　　　　4.3.3 Examples
　　　　4.3.4 Results using SOS computational toolboxes
　　4.4 Notes
　　Bibliography
5. Stability conditions based on vertex representation
　　5.1 Introduction
　　5.2 Useful lemmas
　　5.3 Partition-dependent Lyapunov function
　　5.4 Vertex-dependent Lyapunov function
　　　　5.4.1 Direct SOS formulation
　　　　5.4.2 Pólya’s formulation
　　5.5 Notes
　　Bibliography
6. Controllability and reachability
　　6.1 Introduction
　　6.2 Controllability
　　　　6.2.1 [B1, B2] is nonsingular
　　　　6.2.2 [B1, B2] is singular
　　6.3 Reachability
　　　　6.3.1 [B1, B2] is nonsingular
　　　　6.3.2 [B1, B2] is singular
　　6.4 Notes
　　Bibliography
7. H∞ and generalized H2 controller design for PWA systems
　　7.1 Introduction
　　7.2 State feedback control
　　　　7.2.1 Stabilization problem
　　　　7.2.2 H∞ analysis and synthesis
　　　　7.2.3 Generalized H 2 analysis and synthesis
　　7.3 Notes
　　Bibliography
8. H∞ and generalized H2 estimator design for PWA systems
　　8.1 Introduction
　　8.2 Estimator structure and problem statement
　　8.3 H∞ estimation
　　　　8.3.1 Continuous-time case
　　　　8.3.2 Discrete-time case
　　　　8.3.3 Examples
　　8.4 Generalized H2 estimation
　　8.5 Notes
　　Bibliography
9. A PWA approach to Takagi-Sugeno fuzzy logic systems
　　9.1 Introduction
　　9.2 Takagi-Sugeno fuzzy model
　　9.3 Stability analysis
　　9.4 Controller design
　　　　9.4.1 Initial conditions
　　　　9.4.2H∞ control problem
　　9.5 Notes
　　Bibliography
10. Control and estimation of mechanical systems
　　10.1 Electric motor driven pendulum
　　10.2 Hard disk servo system
　　　　10.2.1Problem formulation
　　　　10.2.2 Impulsive disturbance filter design
　　　　10.2.3 PWA model and filtering performance
　　Bibliography
Semidefinite programming
Bibliography
Some proofs
　　B.1 Proof of Theorem 6.2.4
　　　　B.1.1λ1≠0 &λ2= 0
　　　　B.1.2λ1≠0 &λ2≠0
　　B.2 Proof of Theorem 6.2.5
　　B.3 Proof of Theorem 6.2.6
　　B.4 Proof of Theorem 6.3.2
Index