Analysis And Control Of Networked Jump Systems With Event-triggering Scheme

Due to the rapid development of network communication and computer controltechnology, the issues of network control systems have been paid closer attention andresearchers get many achievements about network control systems.Owing to limited Internet resource and the properties of Internet, such asnetwork-induced delay, packet disorder, data packet dropout, single packet multiplepackets transmission, may bring unstable systems, and researches on these propertieshave obtained a lot of great results. Researchers are paying more attentions to theissue about how to improve the utilization of Internet resource, and many relevantliteratures have been published. According to the allocation of resources, periodicexecution mode, which has been widely used, exists many faults. When the system isin an ideal state or steady state, the sampled data are still subject to the periodicexecution output mode. This means there is a waste of network band. To solve thisproblem, the researchers come up with the event trigger mechanism. However, thismechanism has its own limitation and Markov jump system has become one of themost effective modeling methods in industry. This system has widely used in differentfields. Nevertheless, there are few researches about feedback control and filteringproblems of network event-triggered scheme based on jump system.According to the above analysis, this paper will use the event-triggered schemepresents the design methods of relevant controller and filter for networked Markovianjump system. Here are the main objectives:(1) According to the networked switching systems, fully consider the influenceof network-induced delay, data packet dropout and disorder of data packets to studytheH control problem by the Markovian jump chain. To divide into somesubintervals by time delay and in the meantime, model the networked switchingsystems into Markov jump systems, which have some jump mode, combine with the characteristics of network induced delay and data packet dropout. By usingLyapunov-Krasovskii functional method, obtain the analysis ofH stability, whichis presented by the linear matrix inequality (LMI) and the corresponding designmethod of controller.(2) Fully considering the effect of the network induced delay on the performanceof the system, when design the corresponding jump mode to the event-triggermechanism. Research on control problems of networked Markovian jumpsystems base on event-triggered scheme. Follow above condition; this paper gives theparameters of event-triggered and design method of controller combine with feedbackgain.(3) Research on a class of with event triggered filter design problem aboutMarkov jump systems. Introduce the commonly used event trigger mechanism, tomodel the system as a filtering error system, by fully considering the effect of thenetwork induced delay on the system stability. Furthermore constructing theLyapunov-Krasovskii function, to deal with the cross terms by using of interactiveconvex combination method and analyze the stability of the model andperformance base on this model. Then get the design method of correspondingfilter.