Networked Control Of A Class Of Markov Jump Systems

Considering the plant of the Networked Control System(NCS), which is alwayssettled in the remote area away from the control center, there may exist structure changeaccording to the sudden events and random disturbances of the environment. MarkovJump System model, as a class of hybrid dynamic system, whose system modes aregoverned by a Markov process, is an effective way to describe the plant's properties ofthe networked control system.When the plant of the networked control system is modeled by Markov Jump Sys-tems, both the system state and system mode are needed to be transmitted through thenetwork. Considering the networked induced time delay and packet dropout, the net-worked control of a class of Markov jump system is analyzed. The contents studied andresults achieved are as follows:The stabilization control problem of a class of Markov jump bilinear systemis studied. Taking a class of Markov jump bilinear system with saturating actuatorand time delay as an example, the background and analysis method of Markov jumplinearsystemisaddressed, thesufficientstabilizationconditionisgiven, theH∞controlproblem is also studied.The networked control of Markov jump linear system with observable jump pa-rameters is studied. Considering the networked induced time delay and packet dropout,the sufficient condition of stochastic stabilization of the networked control of Markovjump linear system is given, which also implies how the networked induced time delay,packet dropout and sampling period affect the system control performance.Furthermore, the networked control of Markov jump system with unobservedjump parameters is studied. To form the feedback control law, the estimate methodof Markov jump parameter is first presented, then the sampling adaptive control lawis given to stablize the networked control Markov jump linear system. The sufficientcondition for the the stabilization of the system is given at last.Besides, a numerical simulation is followed by each theorem to prove its effective-ness and usefulness. All the contents are concluded at last, the future study topics arealso briefly addressed.