Event-Triggered State-Feedback and Dynamic Output-Feedback Control of PMJSs With Intermittent Faults

• Published in: IEEE transactions on automatic control Vol. 68; no. 2; pp. 1039 - 1046
• Main Authors: Zhang, Junfeng, Zheng, Gang, Feng, Yinggang, Chen, Yun
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.02.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Actuators; Automation; Control systems; Control systems design; Event-triggered control; Feedback control; intermittent faults; Liapunov functions; Linear matrix inequalities; Markov processes; Mathematical analysis; Output feedback; positive Markovian jump systems (PMJSs); Process control; State feedback; Switches
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2022.3146709

This article proposes the event-triggered state-feedback and dynamic output-feedback control of positive Markovian jump systems with intermittent actuator and sensor faults. An independent Markovian process is used to establish the mathematical model of the intermittent fault. An event-triggering condition based on 1-norm is proposed to implement the event- triggered scheme. An event-triggered state-feedback controller is designed using stochastic copositive Lyapunov functions. By virtue of a matrix decomposition approach, an event-triggered dynamic output-feedback controller is proposed for the systems. Under the designed controllers, the augmented system consisting of the original system and the controller system is positive and stochastic <inline-formula><tex-math notation="LaTeX">\ell _1</tex-math></inline-formula> stable. Finally, one example is provided to verify the validity of the proposed design.