Based On T-S Fuzzy Model For Stability Analysis And Control Of Nonlinear Switched Systems

For investigating the control of switched nonlinear systems,it should select the appropriate switching signal and ensure the switching time is fast enough.It is difficult in dealing with stability analysis and control of switched nonlinear systems.Moreover,some uncertain parameters of engineering switched nonlinear systems,which have more challenging to control accurately.IT2 T-S fuzzy model has more superior performance than T-S fuzzy model,and the higher the degree of uncertainty is,the more obvious advantages is.It is mainly studied the unstable switched nonlinear systems and proposed appropriate switching rules of switched nonlinear systems.Using T-S fuzzy model,interval type 2(IT2)T-S fuzzy model as approximation to nonlinear system,it is described by the combination of local linear models.Then,based on the characteristics of IT2 T-S fuzzy membership function,it is used for reducing the conservatism of the system.The content of this paper is as follows.T-S fuzzy model is used for approximating the unstable switched nonlinear system.The novel MDADT switching signal,that is,quasi-alternative switching signal with MDADT property is derived to ensure the stability of switched systems.In order to achieve a better result for uncertain parameters of switched nonlinear system,IT2 T-S fuzzy model is proposed to deal with this problem.Switched IT2 T-S fuzzy system is investigated with improved ADT switching.By equivalent transformation of linear matrix inequalities for sufficient conditions,which ensure asymptotic stability of IT2 T-S switched fuzzy system.To obtain smaller ADT for uncertain parameters of switched nonlinear system,the extended switching methods are put forward to ensure asymptotic stability of these subsystems by adopting delaying switched.Meanwhile,reducing the conservatism of the switched system,it is a good choice for to choose weight coefficient of upper and lower membership functions of IT2 T-S fuzzy model.Finally,based on existing conditions and techniques for simulation experiments,which are demonstrated the validity of the stability analysis and control of switched nonlinear systems.