Control And Filter Of Jumping Systems Based On Event-triggered Scheme

As a special type of hybrid system—jumping system has been widely focused by many scholars because of its wide application scope.Markov systems and semi-Markov systems,as the typical representatives of the jumping systems,have been widely applied in modern aerospace like industrial control,market economy and radio networks.Hence,the control of jumping systems has been a hot topic in this field.However,due to the influences of nonlinearity interference,network attacks and other external disturbance,the control of jumping systems is more difficult.Taking the limitation of network bandwidth into account,it is necessary to achieve the desired control performance while saving the network resources,which has been a hot topic.This thesis investigate the control and filtering issues of Markov jumping systems and semi-Markov jumping systems.The main content of this thesis includes the following parts:The first part is the introduction,which mainly introduces the background,significance and research status of the jumping systems,collaborative control,jumping systems filtering,cyber-attacks and event-triggered mechanism.In the second part,based on the adaptive event-triggered mechanism,the leader-following control problems of semi-Markov jump systems with actuator failures and external disturbance are investigated.By constructing Lyapunov-Krasovskii functional and using time-delay subsec-tion analysis method and convex optimization method,the sufficient conditions for the stable of system can be obtained.Meanwhile,a controller design method is presented.In the third part,the distributed H_?filtering problem of the semi-Markov jump systems under event-triggered mechanism is studied,delays,quantization effects and cyber-attacks are taken into consideration to construct the filtering error system.By constructing Lyapunov-Krasovskii function,on the basis of convex optimization methods,the stability of the filtering error system is analyzed and a distributed H_?filter design method is presented.The fourth part investigates the l₂-l_?filter design issue for the discrete Markov jumping systems with nonlinearities and time delays.To meet the needs of saving network resources,the dynamic event-triggered mechanism will be employed in this part.The phenomenon of mea-surement missing is considered when the l₂-l_?filter is designed.By constructing Lyapunov-Krasovskii function and in view of the convex optimization method,the sufficient conditions for the stochastic stability of filtering error system which meets the l₂-l_?performance can be obtained and the l₂-l_?filtering algorithm is presented.The fifth part is the summary and prospect,which summarizes the main results of this paper and makes a prospect to the future research work.