Analysis and Synthesis of Polynomial Discrete-time Systems: An SOS Approach addresses the analysis and design of polynomial discrete-time control systems. The book deals with the application of Sum of Squares techniques in solving specific control and filtering problems that can be useful to solve advanced control problems, both on the theoretical side and on the practical side. Two types of controllers, state feedback controller and output feedback controller, along with topics surrounding the nonlinear filter and the H-infinity performance criteria are explored. The book also proposes a solution to global stabilization of discrete-time systems.
1. Chapter 1: Introduction - p. xii 2. Chapter 2: Robust nonlinear control for polynomial discrete-time systems - p. 27 3. Chapter 3: Robust nonlinear H∞ state feedback control for polynomial discrete-time systems - p. 55 4. Chapter 4: Robust nonlinear filtering for polynomial discrete-time systems - p. 78 5. Chapter 5: Robust nonlinear H∞ filtering for polynomial discrete-time systems - p. 93 6. Chapter 6: Robust nonlinear H∞ output feedback control for polynomial discrete-time systems - p. 109 7. Chapter 7: Global stabilization of fuzzy polynomial discrete-time nonlinear systems - p. 143 8. Chapter 8: Global H∞ control of fuzzy polynomial discrete-time nonlinear systems - p. 160 9. Chapter 9: Conclusion - p. 176 10. Appendix A: Mathematical - p. 181 11. Index - p. 185
Analysis and Synthesis of Polynomial Discrete-time Systems: An SOS Approach addresses the analysis and design of polynomial discrete-time control systems. The book deals with the application of Sum of Squares techniques in solving specific control and filtering problems that can be useful to solve advanced control problems, both on the theoretical side and on the practical side. Two types of controllers, state feedback controller and output feedback controller, along with topics surrounding the nonlinear filter and the H-infinity performance criteria are explored. The book also proposes a solution to global stabilization of discrete-time systems.
1. Chapter 1: Introduction - p. xii 2. Chapter 2: Robust nonlinear control for polynomial discrete-time systems - p. 27 3. Chapter 3: Robust nonlinear H∞ state feedback control for polynomial discrete-time systems - p. 55 4. Chapter 4: Robust nonlinear filtering for polynomial discrete-time systems - p. 78 5. Chapter 5: Robust nonlinear H∞ filtering for polynomial discrete-time systems - p. 93 6. Chapter 6: Robust nonlinear H∞ output feedback control for polynomial discrete-time systems - p. 109 7. Chapter 7: Global stabilization of fuzzy polynomial discrete-time nonlinear systems - p. 143 8. Chapter 8: Global H∞ control of fuzzy polynomial discrete-time nonlinear systems - p. 160 9. Chapter 9: Conclusion - p. 176 10. Appendix A: Mathematical - p. 181 11. Index - p. 185
