Stability Analysis And Control Of Switched Systems With Multiple Disturbances

In practical systems such as industrial processes,advanced manufacturing and aerospace,disturbances are inevitable.Disturbances are usually divided into two categories.One is external environment disturbance caused by the change of the environment in which the system is located,such as wind disturbance in flight control system and missile system.The other is the disturbance caused by generalized unmodeled dynamics,system model parameter perturbation,structural per-turbation and other factors,such as the uncertainty of aerodynamic parameters in the aircraft sys-tem.Chinese and foreign scholars have been devoted to the research of system anti-disturbance control and achieved remarkable results,such as robust control,adaptive control,sliding mod-e control,active disturbance rejection control,observer-based disturbance compensation control,composite hierarchical anti-disturbance control and so on.In this paper,Markovian jump sys-tems with partially known transition rate information and nonlinear switched systems with input saturation constraints are studied.The research work of this paper is summarized as follows:1.For a class of stochastic Markovian jump systems with partially known transition rates,the problem of composite anti-disturbance control based on state observer and disturbance observer are studied in the case of white noise disturbances and norm-bounded non-random disturbance.Based on the unknown state of the system,the design methods of full-order disturbance observer and non-fragile controller are presented,and the sufficient conditions of mean-square meaning asymptotically bounded or probabilistic asymptotically stable system under different conditions are obtained.In addition,the results obtained are extended to two special cases in which the transition rate is completely unknown and the transition rate is completely known.A numerical example is given to verify the effectiveness of the results obtained.2.For nonlinear switched systems with actuator saturation constraints,the disturbance ob-server based composite anti-disturbance control problem is studied,considering the external sys-tem disturbance with parameter uncertainties.Based on the proposed disturbance observer,a composite controller is constructed.Combined with the minimum state dependent switched s-trategy design and H_? control method,the controller design conditions which can ensure the local asymptotic stability of the closed-loop system are given,and the attraction region of the closed-loop system is described.A numerical example is given to verify the applicability of the proposed method.