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. Provides new insights on properties of PWA systems, including stability, stabilizability, reachability and controllabilityPresents a unified framework for analysis and synthesis of both continuous-time and discrete-time PWA systemsPresents novel approaches for stability analysis and control design based on the promising SOS techniques INDICE: DedicationList of FiguresList of TablesPrefaceSymbols and Acronyms Logic OperatorsAlgebraic OperatorsSets and Set OperatorsOthersAcronyms1. Introduction Abstract:1.1 Motivations1.2 Research objective and contributions1.3 Organization of the bookBibliography2. Piecewise affine systems Abstract:2.1 Introduction2.2 System model2.3 Structural analysis2.4 Applications in mechanical systems2.5 NotesBibliography3. Stability conditions based on PQLFs Abstract:3.1 Introduction3.2 Piecewise quadratic Lyapunov functions3.3 NotesBibliography4. Stability conditions based on SOS polynomials Abstract:4.1 Introduction4.2 Useful lemmas4.3 SOS based stability results4.4 NotesBibliography5. Stability conditions based on vertex representation Abstract:5.1 Introduction5.2 Useful lemmas5.3 Partition-dependent Lyapunov function5.4 Vertex-dependent Lyapunov function5.5 NotesBibliography6. Controllability and reachability Abstract:6.1 Introduction6.2 Controllability6.3 Reachability6.4 NotesBibliography7. H? and generalized H2 controller design for PWA systems Abstract:7.1 Introduction7.2 State feedback control7.3 NotesBibliography8. H? and generalized H2 estimator design for PWA systems Abstract:8.1 Introduction8.2 Estimator structure and problem statement8.3 H? estimation8.4 Generalized H2 estimation8.5 NotesBibliography9. A PWA approach to Takagi-Sugeno fuzzy logic systems Abstract:9.1 Introduction9.2 Takagi-Sugeno fuzzy model9.3 Stability analysis9.4 Controller design9.5 NotesBibliography10. Control and estimation of mechanical systems Abstract:10.1 Electric motor driven pendulum10.2 Hard disk servo systemBibliographySemidefinite programming BibliographySome proofs B.1 Proof of Theorem 6.2.4B.2 Proof of Theorem 6.2.5B.3 Proof of Theorem 6.2.6B.4 Proof of Theorem 6.3.2Index
- ISBN: 978-0-08-101541-4
- Editorial: Woodhead Publishing
- Encuadernacion: Rústica
- Páginas: 240
- Fecha Publicación: 30/06/2016
- Nº Volúmenes: 1
- Idioma: Inglés