Improved results on reachable set synthesis of Markovian jump systems with time-varying delays: General asynchronous control approaches

Bo Feng, Zhiguang Feng and Peng Li

Applied Mathematics and Computation, 2023, vol. 446, issue C

Abstract: This paper investigates the reachable set synthesis (RSS) issue of Markovian jump systems (MJSs) with time-varying delays via various asynchronous controls. The goal is to devise appropriate asynchronous controllers to assure that the reachable set (RS) of the generated closed-loop dynamic system (CDS) is constrained in the specified region. Firstly, a hidden Markov model (HMM) is used to describe mismatch case among controller modes and system modes. Next, coupling problem of mode mismatch is solved by using an effective inequality condition, and the sufficient conditions for the existence of the asynchronous controllers by linear matrix inequalities (LMIs) are given. Based on the desired asynchronous controllers, the additional reachable set synthesis results of two related controls for the MJSs are obtained. Finally, two simulations are given to demonstrate the feasibility and superiority of the provided methods.

Keywords: Reachable set synthesis; Markovian jump systems; Asynchronous control; Hidden Markov model (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:446:y:2023:i:c:s0096300323000358

DOI: 10.1016/j.amc.2023.127866

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