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

Analysis and Synthesis of Polynomial Discrete-time Systems addresses the analysis and design of polynomial discrete-time control system. The book deals with the application of Sum of Squares techniques in solving specific control and filtering problems, which will be useful to solve advanced control problems, both on the theoretical side and on the practical side. It presents two types of controllers; state feedback controller and output feedback controller. In addition, it provides a nonlinear filter and a discussion about the H-infinity performance criteria. The book also proposes a solution to global stabilization of discrete-time systems. Concluding remarks are given and suggestions for future research work are discussed. Finally, some mathematical background knowledge used throughout this book is provided in Appendix. Presents the recent developments of sum of squares' approach to control of Polynomial Discrete-time SystemsIncludes numerical and practical examples to illustrate how the 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 the controller and filter design problemsProvides MATLAB® code and simulation files of all illustrated example INDICE: 1. Introduction 2. Nonlinear Control for Polynomial Discrete-Time Systems 3. Robust Nonlinear Control for Polynomial Discrete-Time System With Norm-Bounded Uncertainties 4. Nonlinear H-infinity State Feedback Control for Polynomial Discrete-Time Systems 5. Robust Nonlinear H-infinity State Feedback Control for Polynomial Discrete-Time Systems With Norm-Bounded Uncertainties 6. Nonlinear Filter Design for Polynomial Discrete-time Systems 7. Nonlinear H-infinity Filter Design for Polynomial Discrete-time Systems 8. Nonlinear H-infinity Output Feedback Control for Polynomial Discrete-time Systems 9. Robust Nonlinear H-infinity Output Feedback Control for Polynomial Discrete-time Systems with Norm-Bounded Uncertainty 10. Global Stabilization of Discrete-Time Nonlinear Systems 11. Global Robust H-infinity control of Discrete-Time 12. Conclusion

• ISBN: 978-0-08-101901-6
• Editorial: Butterworth-Heinemann
• Encuadernacion: Rústica
• Páginas: 220
• Fecha Publicación: 01/09/2017
• Nº Volúmenes: 1
• Idioma: Inglés