Normalised stabilisation for singular semi-Markov jump systems with discontinuous jump states  

作　　者：Guoliang Wang Yunshuai Ren 

机构地区：[1]School of Information and Control Engineering,Liaoning Petrochemical University,Fushun,People’s Republic of China

出　　处：《Journal of Control and Decision》2022年第3期322-333,共12页控制与决策学报（英文）

基　　金：the National Natural Science Foundation of China[grant numbers 61473140 and 62073158];the Liaoning Revitalization Talents Program[grant number XLYC1807030];the Program for Liaoning Innovative Talents in University[grant number LR2017029].

摘　　要：This paper addresses the almost surely exponential(ASE)stabilisation problem of continuoustime singular semi-Markov jump systems(s-MJSs),where the state at jump instants is discontinuous.Because of such a discontinuity existing,the consistency of initial condition at jump instants is impossible to be ensured but is an essential issue of singular systems.A proportional-derivative(PD)state feedback controller is proposed to deal with it such that the closed-loop singular s-MJSs is normal and ASE-stable.New sufficient conditions for the existence of such a controller are derived as linear matrix inequalities,which includes some existing considered systems as special situations.Two numerical examples are used to show the effectiveness and superiority of the methods.

关 键 词：Semi-Markovian jump systems singular systems proportional-derivative controller discontinuous jump states linear matrix inequalities(LMIs) 

分 类 号：O17[理学—数学]