Analysis and Synthesis of Polynomial Discrete-Time Systems: An SOS Approach

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.

Presents recent developments of the Sum of Squares approach in control of Polynomial Discrete-time SystemsIncludes numerical and practical examples to illustrate how design methodologies can be appliedProvides a methodology for robust output controller design with an H-infinity performance index for polynomial discrete-time systemsOffers tools for the analysis and design of control processes where the process can be represented in polynomial formUses the Sum of Squares method for solving controller and filter design problemsProvides MATLAB® code and simulation files of all illustrated example

1. Introduction
2. Robust nonlinear control for polynomial discrete-time systems
3. Robust nonlinearH∞ state feedback control for polynomial discrete-time systems
4. Robust nonlinear filtering for polynomial discrete-time systems
5. Robust nonlinear H∞ filtering for polynomial discrete-time systems
6. Robust nonlinearH∞ output feedback control for polynomial discrete-time systems
7. Global stabilization of fuzzy polynomial discrete-time nonlinear systems
8. Global H∞ control of fuzzy polynomial discrete-time nonlinear systems
9. Conclusion
Appendix A - Mathematical