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Security control of positive semi‑Markovian jump systems with actuator faults
JunfengZhang,HaoyueYang,SuhuanZhang,XiangleiJia
0
(School of Automation, Hangzhou Dianzi University, Hangzhou 310018, Zhejiang, China)
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DOI:https://doi.org/10.1007/s11768-021-00043-1
基金项目:This work was supported by the National Nature Science Foundation of China (Nos. 62073111, 61703132), the Fundamental Research Funds for the Provincial Universities of Zhejiang (No. GK209907299001-007), the Natural Science Foundation of Zhejiang Province, China (No. LY20F030008), the Foundation of Zhejiang Provincial Education Department of China (No. Y202044335), and the Graduate Scientific Research Foundation of Hangzhou Dianzi University (No. CXJJ2020051).
Security control of positive semi‑Markovian jump systems with actuator faults
Junfeng Zhang,Haoyue Yang,Suhuan Zhang,Xianglei Jia
(School of Automation, Hangzhou Dianzi University, Hangzhou 310018, Zhejiang, China)
Abstract:
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 sojourntime 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 stabilization 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.
Key words:  Positive semi-Markovian jump systems · Sojourn-time distribution · Actuator faults · Linear programming