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

Front Cover -- Analysis and Synthesis of Polynomial Discrete-Time Systems -- Copyright -- Contents -- About the Authors -- Preface -- 1 Introduction -- 1.1 Nonlinear systems -- 1.2 Nonlinear discrete-time systems -- 1.2.1 Discretization -- 1.2.2 Brief overview on the literature of nonlinear discrete-time systems -- 1.3 Polynomial systems -- 1.3.1 Recent work on polynomial systems -- 1.3.1.1 On the literature on controller synthesis for polynomial systems: the Lyapunov method and SOS decomposition approach -- 1.3.2 Sum-of-squares (SOS) decomposition -- 1.3.2.1 SOSTOOLS -- 1.4 Research motivation -- 1.5 Contribution of the book -- 1.6 Book outline -- References -- 2 Robust nonlinear control for polynomial discrete-time systems -- 2.1 Introduction -- 2.2 Main results -- 2.2.1 Nonlinear control for polynomial discrete-time systems -- 2.2.1.1 The integrator approach -- 2.2.2 Robust nonlinear feedback control design for polynomial discrete-time systems -- With parametric uncertainties -- With norm-bounded uncertainties -- 2.3 Numerical examples -- 2.4 Conclusion -- References -- 3 Robust nonlinear H8 state feedback control for polynomial discrete-time systems -- 3.1 Introduction -- 3.2 System description and problem formulation -- 3.2.1 System description -- 3.2.2 Problem formulation -- 3.3 Main results -- 3.3.1 Nonlinear H8 control of polynomial discrete systems -- 3.3.2 Robust nonlinear H8 control of polynomial discrete systems -- 3.3.2.1 Parametric uncertainty -- 3.3.2.2 Norm-bounded uncertainties -- 3.4 Numerical examples -- References -- 4 Robust nonlinear ltering for polynomial discrete-time systems -- 4.1 Introduction -- 4.2 System description and de nition -- 4.3 Main results -- 4.3.1 Nonlinear ltering for polynomial discrete-time systems -- 4.3.2 Robust nonlinear ltering for polynomial discrete-time systems -- 4.4 Numerical examples.

4.5 Conclusion -- References -- 5 Robust nonlinear H8 ltering for polynomial discrete-time systems -- 5.1 Introduction -- 5.2 System description and problem formulation -- 5.3 Main results -- 5.3.1 Nonlinear H8 ltering for polynomial discrete-time systems -- 5.3.2 Robust nonlinear H8 ltering for polynomial discrete-time systems -- 5.4 Numerical examples -- 5.5 Conclusion -- References -- 6 Robust nonlinear H8 output feedback control for polynomial discrete-time systems -- 6.1 Introduction -- 6.2 System description and problem formulation -- 6.3 Main results -- 6.3.1 Nonlinear H8 output feedback control -- 6.3.2 Robust nonlinear H8 output feedback control -- 6.3.2.1 Parametric uncertainties -- 6.3.2.2 Norm-bounded uncertainties -- 6.4 Numerical examples -- 6.5 Conclusion -- References -- 7 Global stabilization of fuzzy polynomial discrete-time nonlinear systems -- 7.1 Introduction -- 7.2 System description and problem formulation -- 7.3 Main results -- 7.4 Simulation examples -- 7.5 Conclusion -- References -- 8 Global H8 control of fuzzy polynomial discrete-time nonlinear systems -- 8.1 Introduction -- 8.2 System description and preliminaries -- 8.3 Main results -- 8.4 Simulation examples -- 8.5 Conclusion -- References -- 9 Conclusion -- 9.1 Summary of book -- 9.2 Future research work -- References -- A.1 Linear matrix inequality (LMI) -- A.2 The Schur complement -- Index -- Back Cover.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.