Non-fragile reliable control for positive Markovian jump systems based on event-triggered mechanism  

作　　者：Yinggang Feng Junfeng Zhang Shuo Li Shizhou Fu 

机构地区：[1]School of Automation,Hangzhou Dianzi University,Hangzhou 310018,People’s Republic of China

出　　处：《Journal of Control and Decision》2021年第4期431-443,共13页控制与决策学报（英文）

基　　金：This work was supported by the National Nature Science Foundation of China[Nos.62073111 and 61751304];the Fundamental Research Funds for the Provincial Universities of Zhejiang[No.GK209907299001-007];the Natural Science Foundation of Zhejiang Province,China[Nos.LY20F030008 and LY20F030011];the Foundation of Zhejiang Provincial Department of Education[No.Y202044335].

摘　　要：This paper is concerned with the non-fragile reliable control of positive Markovian jump systems with actuator saturation based on event-triggered mechanism.First,an event-triggering condition is given in the form of 1-norm.Using a stochastic co-positive Lyapunov function,a design approach is proposed for the non-fragile controller gain and the corresponding auxiliary feedback gain.Under the designed controller,the closed-loop system is positive and stochastically stable even if actuator faults occur.A cone is constructed as the invariant set of the systems.All conditions are solvable in terms of linear programming.Finally,two examples are provided to verify the effectiveness of the obtained results.

关 键 词：Non-fragile reliable control event-triggered mechanism positive Markovian systems linear programming 

分 类 号：O17[理学—数学]