Asynchronous partially mode-dependent control for switched larger-scale nonlinear systems with bounded sojourn time

Jiajia Li, Xin Tian and Guoliang Wei

Applied Mathematics and Computation, 2022, vol. 418, issue C

Abstract: In this paper, the asynchronous partially mode-dependent control problem is investigated for switched larger-scale systems (SLSSs) with inherent nonlinearities, known sojourn probabilities and bounded sojourn time. The interconnection among subsystems is nonlinear and subject to stochastic switching. The resultant part available mode information is that the modes of controllers and the plant are asynchronous. By introducing a mode storage rule and transforming the asynchronous system into a general switched system, the stability criteria is obtain with available modes, the sum of these modes’ sojourn probabilities and the bounds of sojourn time. Then, some sufficient conditions are derived to guarantee the mean-square stability (MSS) by employing Young inequality and the desired asynchronous controller is designed by using available softwares. At last, an example is provided to illustrate the main methods in this paper.

Keywords: Asynchronous switching; Inherent nonlinearities; Larger-scale systems; Sojourn probability; Sojourn time (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:418:y:2022:i:c:s0096300321008912

DOI: 10.1016/j.amc.2021.126809

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