Dynamics Analysis And Control Of Stochastic Hybrid Systems Based On Event

In practical life,random phenomena exist extensively.The random disturbance is inevitable in actual industrial production,such as wind speed,humidity,temperature of environment and other factors,which will have a certain impact on the stability of the system.Therefore,in order to better describe the practical systems,it is necessary for us to consider the random factors in the process of system modeling.In this paper,we study the stability,H_?control and robust control of singular systems with Markovian switching.The main work is summarized as follows:1.We choosing a suitable stochastic Lyapunov-Krasovskii functional,using It(?) formula and Schur complent lemma and other relevant theoretical knowledge,the stable criterion dependent on delay for the considered system can be achieved,and the underlying system is asymptotic stable for sufficiently small delay from the theoretical aspect.Finally,the feasible matrix solutions can be found by Matlab LMIs Toolbox,and the erperimental simulation is carried out with Matlab LMIs Toolbox,which shows the validity of the conclusion.2.The feedback control problem of hybrid systems with singular Markovian jump based on discrete time observations is diacussed.First of all,by the means of designing of a feedback controller based on discrete time state observations,establishing a appropriate stochastic Lyapunov-Krasovskii functional,combining with It(?) formula and infinitesimal generator,we obtain the sufficient conditon that ensures the considered system has regular,impulse free and stochastic stability.Moreover,the upper bound of the dwell time ? of two continuous state observations and the given H_? performance ? are also obtained.Secondly,compared with the previous results,the obtained results are less conservative and more extensively applied.Finally,the validity of the obtained results is tested by two numerical simulations.3.We discuss the problem of the robust control for singular hybrid system with Markov jump based on event-triggered sampling.The feedback controller based on event is designed for the considered system with norm bounded parameter uncertainties.Firstly,three bounded real lemmas are derived from the trigger condition and the norm bounded parameter uncertainties.Secondly,on the basis of these three lemmas,we establish a appropriate stochastic Lyapunov-Krasovkii functional,by using the infinitesimal generator and It(?) formula.Sufficient conditions are obtained to ensure that the considered system is exponentially robust admissible with H_? performance.The method used in this paper increases the applicability of the corresponding methods.We use the present simulation to show the validity of the proposed method.