Optimization Controller Design And Analysis Of Nonlinear Switched Systems

Nonlinear switched system is a kind of important hybrid systems. There is an important theoretical significance and application value to design its controller and analyze its performance. In recent years, the control and stability problem of uncertain nonlinear systems and nonlinear switched systems has received extensive concern and has obtained some results. But there are still many problems to be further researched. For a class of nonlinear switched systems, this article introduced the optimization design of the two kinds of controller and stability analysis.First, for a kind of uncertain nonlinear systems with the state and input constraint, the article gives an optimization algorithm based on the bounded control with an initial stable region, and gives a predictive function controller (PFC) design based on Lyapunov. Considering that optimazition of PFC system maybe not feasible, we use the bounded control based on Lyapunov to drive state to reach the attract domain, and then we switch the controller to PFC which guarantees the stability of the system and satisfies the state and input constraints.Second, for a class of nonlinear switched systems, under a relatively weak condition, the nonlinear subsystems are turned into linear systems with variable parameter, and then a group of state feedback laws are derived to stable the subsystems by using the nature of the convex function and LMI method. Finally, based on the back-stepping design method, the actual state feedback controllers of the nonlinear switched system are designed, and the switching rules are designed too. All these can ensure the stability of the nonlinear switched system under the switch rules.