Resilient Control Of Discrete-Time Singular Time-Delay Switched With Quadratically Inner-Bounded Nonlinearity

With the large-scale and electronic industrial production,the requirement of automatic operation is higher and higher.Then it caused a surge of research on system control.Switched system is an indispensable part of hybrid system,which is widely used in robot control system,aircraft control,aerospace and other fields.Due to the disturbance of various environments in practical application and the defects of the equipment itself,it is impossible to establish the corresponding mathematical model accurately,resulting in uncertainty in the parameter matrix of the model.To simulate this situation,uncertainties of parameters are required to be added into the systems.In addition,in the process of information transmission,due to the limitation of physical space,there will always be time-delay of the system statement,which often affects the stable performance of the system and causes unnecessary losses.In order t.o deal with the problems caused by this phenomenon,the existence of time-delay phenomenon is often needed to be considered in the construction of system models.In this thesis,H∞ finite time robust stabilization with constant time-delay and H∞ finite time robust stabilization with time-varying time-delay based on dynamic output feedback controller is considered.The thesis is mainly divided into the following five chapters:First of all,introduces the background and research status of singular switching systems,time-delay systems and robust control and several basic lemmas.Then,the finite time stability problem of discrete-time singular constant timedelay switched systems with quadratically inner-bounded nonlinear term based on dynamic output feedback controller is discussed.By constructing LyapunovKrasovskii functional and average dwelling time method,sufficient conditions for regular,causal and finite-time stability of closed-loop systems are obtained.By using the matrix decoupling method,the uncertainties of the parameter matrix in the closed-loop system and the controller are removed,and the corresponding robust stability conditions are obtained,and the construction form of the dynamic output feedback controller is given.Finally,a numerical example is given to illustrate the validity of the conclusion.What’s more,the finite time stability problem of discrete-time singular timevarying time-delay switched systems with quadratic inner bounded nonlinear terms is discussed based on dynamic output feedback controller.By constructing Lyapunov-Krasovskii functional,the attenuation conditions on a single mode are obtained.Then,the sufficient conditions for regular,causal and finite-time stability of the closed-loop system are obtained iteratively back to the initial time.Based on this stability condition,using the Linear matrix inequality,the uncertainties in the condition are removed.Finally the robust stability condition of the closed-loop system is obtained,and the structure of the controller is given.Finally,a numerical example is given to prove the validity of the conclusion.At last,it summarizes the main work of this thesis and analyses its shortcomings and what needs to be improved.