Stabilization And Synchronization Of Two-Dimensional Switched Systems Under Output Feedback Control

Because of the complexity of two-dimensional systems,many scholars focus on the study of two-dimensional systems.In practical application,the research results of twodimensional systems are widely used in image processing,communication security,intelligent control and other fields.At present,scholars do not consider the transition probability of the switching process when studying the stabilization and synchronization of the two-dimensional switched systems.However,the activation probability of different modes in the whole system is different,and the influence on the dynamic behavior of the whole system is also different.Obviously,these rarely activated modes also have very little impact on the overall dynamic behavior of the systems.Therefore,it is more practical to consider transition probability in the switching process of a two-dimensional switched systems.In the thesis,the stabilization and synchronization of two-dimensional switched systems under output feedback control are studied.The main contents are as follows:In chapter 2,the stabilization of two-dimensional switched systems under output feedback control is studied.Unlike the traditional mode-dependent average dwell time,this chapter considers a new mode-dependent average dwell time based on transition probability,i.e.,the considered systems switches from one mode to another according to transition probability and evolves with mode-dependent average dwell time.This makes the studied two-dimensional switched systems more general and the results less conservative.Secondly,the asynchrony between the controller and the subsystem is studied because of that the time delay of the switching signal in the controller.A mode-dependent asynchronous controller is designed to solve the problem.Sufficient conditions formulated by linear matrix inequalities are given to achieve the asymptotic stabilization almost surely.At the same time,the calculation method of control gain is given.Finally,numerical simulation is given to verify the effectiveness of the theoretical analysis.In chapter 3,the global exponential synchronization almost surely problem of twodimensional discrete time switched systems with Markov topology under output feedback control is studied.Considering the fact that external interference is inevitable and communication resources are limited,a mode-dependent quantization output controller with actuator fault is designed.Sufficient conditions formulated by linear matrix inequalities are given to achieve the global exponential synchronization almost surely.Control gains of the controller without actuator fault is designed by solving the linear matrix inequalities.It is shown that the stationary distribution of the transition probability plays an important role in our study,which makes it possible that some of the modes are not controlled.Finally,numerical examples are given to illustrate the effectiveness of theoretical analysis.