Intermittent static output feedback control for stochastic delayed-switched positive systems with only partially measurable information

• Published in: IEEE transactions on automatic control 2023-12, Vol.68 (12), p.1-8
• Main Authors: Ding, Kui, Zhu, Quanxin
• Format: Article
• Language: English
• Subjects: Control methods; Control systems; Delay effects; Delays; external disturbance; Feedback control; incomplete measurable; intermittent static output feedback control; Output feedback; Stability criteria; stochastic interval delay; Switched positive system; Switches; Time lag; Time-varying systems
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2023.3293012

This paper is concerned with \mathscr {L}_{1}-stabilization of switched positive systems with stochastic interval delay by using intermittent static output feedback control strategy. Different from previous results, this paper mainly focuses on the system state which is not completely measurable due to external disturbance and sensor fault, rather than the result of continuous and complete measurement of the system, which is more in line with the actual system situation, but it also yields much difficulty. To overcome the difficulty, a novel intermittent static output feedback control method is proposed in this paper, which is also the first time to be applied to the class modification system. More importantly, unlike the existing switched positive system which only considers deterministic time delay, the time delay considered in this paper occurs randomly in the interval, which has more research significance and value. To verify the correctness of the developed strategy, a practical model is provided.