Study On Methods Of Stabilization For Several Classes Of Control Systems Based On Controller Switching

In practice,many uncertainties and nonlinearities are introduced into the physical system models during the modeling process due to the unknown parameters and changing environment.On the other hand,the network applied to the control systems brings a lot of convenience to our lives,however,at the same time which may degrade the system performance and even destabilize the control systems due to the network imperfections including transmission delays,communication constraints and packet dropouts etc.In addition,continuous and discrete dynamics coexist and interact in a control system.Because of all above factors,it is very complicated and difficult for studying and controlling a system.Thus,to develop some more efficient analysis tools and to explore some more reasonable control methods are becoming more and more urgent.In this paper,the stabilization of control systems is investigated by using the switching control theories.The main works are summarized as follows:1.The stabilization for a class of transmission control protocol?TCP?network nonlinear systems is considered by the aid of logic-based switching control strategy.By applying dwell time technique and introducing a high gain observer,an output-feedback switching controller is designed to address the network congestion caused by uncertainties of networked access users.Finally,a simulation study is presented to show the effectiveness of the controller.2.The global stabilization for a class of switched cascade nonlinear systems is investigated.For each subsystem,the corresponding individual controller is unable to be designed such that the system is globally asymptotically stable.By using convex combination and gain-scale method,a switching signal can be designed.Then,based on this switching signal,a state-feedback switching controller is presented such that the closed-loop nonlinear switched system is globally asymptotically stable.3.A class of networked control systems with time-varying delay and structured uncertainties is studied.The stability of system is analysed by introducing a new Lyapunov functional.Further,conditions related to delay are given to stabilize the system with packet dropouts by using linear matrix inequalities?LMIs?method.When controller failure occurs,the networked control system can be modeled into a switched system.Then,the LMIs conditions and the L₂-gain of disturbance inputs are obtained to guarantee that the system is stable.4.The dynamic output feedback stabilization for a class of switched delay systems with structured uncertainties is investigated.By introducing a novel Lyapunov functional and solving a set of LMIs based on the average dwell time method,the stabilizing output feedback controllers are designed such that the system is exponential stable under asynchronous switching.5.Sliding mode control is studied for a class of uncertain fuzzy stochastic systems with time-varying delays.Firstly,delay-dependent sufficient LMIs conditions are given to guarantee the exponential stability in mean square of the system.Secondly,the stability of switched stochastic system with time-varying delays is investigated.The criteria on global stability in probability?GS-P?,global asymptotically stability in probability?GAS-P?and m-th moment exponentially stablility?mMES?are presented respectively.6.This section is concerned with the stabilization for a class of linear systems with parameter uncertainties and large time-delay.The criteria on exponentially stability of the closed-loop system are proposed by LMIs technique.The state-feedback controller is designed by applying cone complementarity linearization method.Finally,an example of comparative calculation is provided to show the validity and potential of the developed results.