Dwell-time-based Stabilization And H_? Control Of Switched Systems With State Constraints

The switched system is a kind of hybrid system with complex dynamic characteristics,which has a wide range of practical application backgrounds and important research value.Especially,with the application of the switched system in aviation control,robot control and computer network control,researchers have paid more and more attention to the switched system and control,and made a lot of valuable theoretical achievements in the study of switched systems and control.In practical engineering,the actual system for system performance,physical conditions,and some safety requirements,and existing state constraint,the state constraints and tend to affect some performance of the system,and even appeared in the system is not stable,so the study of switched systems with state constraints have important scientific value and practical significance.But because in a switched systems with state constraints in the mixed discrete-continuous dynamic motion state and the state and the three interact with each other,make the behavior of the switched systems with state constraints become more complicated than normal switched systems,operation process,and functions of the system is not yet clear,there are a lot of analysis and synthesis problems that still need to be solved,the research of this aspect is quite limited at this stage,need to improve.Therefore,based on previous achievements,this paper studies the stabilization and H_?control problems of the switched system with state constraints under pre-given dwell time switching signals.The main work of this paper is summarized as follows:The first chapter is the introduction.Firstly,the research significance,research methods of the linear switched system are summarized respectively.Secondly,the research background of constraint is briefly introduced,and the research status of the switched system with state constraint is summarized.Finally,the main content and structure of this paper are simply arranged.In chapter 2,we study the stabilization problem of a class of switched systems with state constraints under pre-given dwell time switching signals.The dwell time mentioned in this chapter is different from the usual dwell time method,where the dwell time is a predetermined arbitrary constant,rather than calculated by model parameters.Under the premise that all subsystems are stable,first,the convex hull technique is used to deal with the state constraint.Second,when the dwell time has a lower bound constraint,by constructing a long direction of Lyapunov function,limit subsystem attenuation of Lyapunov function,constraint switching time diminishing energy,using the method of a pre-given dwell time for switched system stability and the sufficient condition of global stabilization,and its feasible solution by line planning gain matrix of state feedback controller.In addition,the proposed new pre-given dwell time method is designed with a smaller dwell time than the general dwell time method.Finally,two simulation examples demonstrate the effectiveness of the proposed method.In chapter 3,based on the related stabilization problems,the H_?control problem of switched systems with state constraints under the minimum dwell time switching signal is studied.Through the construction of multi-time-varying Lyapunov functional,the growth of Lyapunov function of the subsystem is limited and the energy of the whole system is constrained to decrease at the switching time under the minimum dwell time switching.Under the pre-given dwell time constraint,sufficient conditions for the H_?control solvable of the switched system with state constraints are obtained.Finally,a simulation example is given to illustrate the effectiveness of the proposed method.The fourth chapter summarizes the content of this paper and looks forward to the next step.