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

• 作者: Junfeng Zhang Haoyue Yang Suhuan Zhang Xianglei Jia
• 来源期刊: 控制理论与技术（英文版）
• 年，卷（期）: 2021,（2）
• 所属期刊栏目: RESEARCH ARTICLES
• 页码范围: 197-210
• 页数: 14页
• 语种: 英文

摘要

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.