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Security control of positive semi-Markovian jump systems with actuator faults

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Actuator faults usually cause security problem in practice.This paper is concerned with the security control of positive semi-Markovian jump systems with actuator faults.The considered systems are with mode transition-dependent sojourn-time distributions,which may also lead to actuator faults.First,the time-varying and bounded transition rate that satisfies the mode transition-dependent sojourn-time distribution is considered.Then,a stochastic co-positive Lyapunov function is constructed.Using matrix decomposition technique,a set of state-feedback controllers for positive semi-Markovian jump systems with actuator faults are designed in terms of linear programming.Under the designed controllers,stochastic stabi-lization of the systems with actuator faults are achieved and the security of the systems can be guaranteed.Furthermore,the proposed results are extended to positive semi-Markovian jump systems with interval and polytopic uncertainties.By virtue of a segmentation technique of the transition rates,a less conservative security control design is also proposed.Finally,numerical examples are provided to demonstrate the validity of the presented results.

Positive semi-Markovian jump systemsSojourn-time distributionActuator faultsLinear programming

Junfeng Zhang、Haoyue Yang、Suhuan Zhang、Xianglei Jia

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School of Automation,Hangzhou Dianzi University,Hangzhou 310018,Zhejiang,China

This work was supported by the National Nature Science Foundation of ChinaThis work was supported by the National Nature Science Foundation of ChinaFunda-mental Research Funds for the Provincial Universities of ZhejiangNatural Science Foundation of Zhejiang Province,ChinaFoundation of Zhejiang Pro-vincial Education Department of China (No.Y202044335)Graduate Scientific Research Foundation of Hangzhou Dianzi Univer-sity

6207311161703132GK209907299001-007LY20F030008CXJJ2020051

2021

控制理论与技术(英文版)
华南理工大学

控制理论与技术(英文版)

CSCDEI
影响因子：0.307
ISSN：2095-6983
年,卷(期)：2021.19(2)
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