 Event-based reachable set synthesis for delayed nonlinear semi-Markov systemsZhihao Shen, Liang Zhang, Ben Niu and Ning Zhao Chaos, Solitons & Fractals, 2023, vol. 177, issue C Abstract: In this study, the issue of the reachable set (RS) synthesis for delayed nonlinear semi-Markov jump systems (s-MJSs) is addressed. An asynchronous controller whose controller mode is different from the system mode is designed. Non-fragile issues are considered in the design of the controller to improve the performance of the controller. Meanwhile, in order to economize on communication resources, the introduction of an event-triggered mechanism is considered in this work. A sufficient condition for the linear matrix inequalities (LMIs) form is obtained by utilizing the theory of Lyapunov functionals and the free-weighting matrix method, which ensures that the RS of the system is constrained by a compact ellipsoid. The controller gains of the system are then obtained by matrix decoupling. Ultimately, a numerical simulation and a practical model are provided to highlight the usability and practicality of the method. Keywords: Semi-Markov jump system; Event-triggered; Reachable sets; Non-fragile control (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923011864 DOI: 10.1016/j.chaos.2023.114284 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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