Synthesis andL₂‐gain analysis for switched systems under event‐triggered switching

Abstract

In this paper, we solve the stabilization problem of linear switched systems subject to external disturbances via an event‐based state‐dependent switching strategy. The proposed event‐triggered switching rule can relax the conditions which guarantee the stability of switched systems so as to attain more feasible solutions than the previous work. As a result, a better bound of L2 gain performance of the system is obtained over the set of admissible disturbances. The elimination of Zeno behavior for state‐dependent switched system is also proven. Finally, numerical simulations illustrate the validity of the proposed theoretical results.

Stability of networked switched systems in the presence of denial‐of‐service attacks

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L2‐gain analysis and fault‐tolerant control for uncertain nonlinear switched system with actuator saturation and time‐varying delay

“…Besides, the single Lyapunov function method [8], the average dwell time method [9, 10], and the multiple Lyapunov functions method [11, 12] are widely applied in practical switched systems. In addition, it is worth noting that switched systems encounter various external disturbances in practical applications, and if they are ignored, the system performance will deteriorate significantly or even lead to system instability, which may further lead to catastrophic accidents [13, 14]. Thus, the $$$ {L}_2 $$$‐gain analysis and design of switched systems become a very interesting research topic.…”

Stabilization of networked switched affine systems with event-triggered strategy

“…Therefore, by ensuring the existence of a positive minimum inter-event time between consecutive executions of the eventtriggering threshold, we can naturally rule out Zeno behavior for state-dependent switched system. If a sliding motion occurs on the switching surface, either stable or unstable dynamics will occur along the switching surface (Deaecto, 2016;Kader et al, 2018;Kikuuwe, 2020;Li D et al, (2020);Liberzon, 2003;Wang et al, 2020). However, few results are available in the area of being active to avoid sliding motion.…”