Stability Analysis And Control Of Delayed Switched Systems Based On State-dependent Switching

The switched system is a dynamic system composed of a series of continuous or discrete modes(subsystems)and switching signals that control the switching between these modes.In many practical applications,switched systems are needed to obtain better control performance,such as network control systems,automotive engine control systems,circuits and power systems,flight control systems,and mechanical systems.Due to the different switching signals,switched systems will exhibit different dynamic behaviors.State-dependent switching rule is a powerful tool for studying switched systems.On the other hand,due to the existence of interference factors such as time delays and random factors,it may cause poor performance of the system or some undesired dynamic characteristics.The research on the stability of delayed switched systems has become a hot topic in academia.This paper mainly discusses the stability analysis and controller design of delayed switched systems based on state-dependent switching.The main work of this paper is as follows:In Chapter 1,we introduce the background of our research,the main work of this paper,and some useful lemmas.In Chapter 2,for linear switched systems with constant time-delay,by introducing some mathematical methods,the criteria for designing a dynamic output feedback controller and state-dependent switching rule are derived in the form of linear matrix inequalities,reaching H? model reference tracking performance.Finally,a numerical example is given to verify the validity of the conclusions.In Chapter 3,we consider the stability of stochastic switched neu-ral networks with time-varying delays and the design of state-dependent switching rule.By using Lyapunov-Krasovskii and Lyapunov-Razumikhin methods,the cri-teria of mean square asymptotic stability and pth moment exponential stability of the stochastic switched neural network are derived,respectively.Finally,the valid-ity of the proposed state switching criterion is proved by two numerical examples.In Chapter 4,a state-dependent switching rule is designed to study the stability of linear switched systems with leakage delay.By using the stability theory of de-layed functional differential equations,the common Lyapunov functional method and the linear matrix inequality method,sufficient conditions are given to ensure uniformly asymptotic stability of the switched system.Finally,two examples are given to illustrate the effectiveness of the theoretical research method.