Stabilization of stochastic nonlinear systems via double-event-triggering mechanisms and switching controls

Xuetao Yang and Quanxin Zhu

Chaos, Solitons & Fractals, 2024, vol. 183, issue C

Abstract: In this paper, we concentrate on the exponential stabilization of stochastic nonlinear systems. Different from the single event-triggering mechanism in traditional deterministic/stochastic control systems, based on two stopping time sequences, we propose a double-event-triggering mechanism (DETM) to update control signals and make two different controls switch in order. Also, this novel DETM allows aperiodic time updating and guarantees a positive lower bound on the inter-event times. Together with this DETM, we introduce a switching control law that consists of a primary control and a secondary control for a non-switched stochastic system to obtain the exponential stabilization and boundedness results. Finally, an illustrative example with simulation figures is provided to demonstrate the obtained results.

Keywords: Stochastic nonlinear system; Double-event-triggering mechanism; Switching control; Exponential stabilization (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:183:y:2024:i:c:s0960077924004326

DOI: 10.1016/j.chaos.2024.114880

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