Robust stability of stochastic systems with varying delays: Application to RLC circuit with intermittent closed-loop

Issam El Hamdi, Alessandro N. Vargas, Hassane Bouzahir, Ricardo C.L.F. Oliveira and Leonardo Acho

Applied Mathematics and Computation, 2021, vol. 411, issue C

Abstract: This paper characterizes the robust second-moment stability of stochastic linear systems subject to varying delays. The delays assume a particular form suitable to represent packet loss in networked control systems, under the zero-order hold feedback. The proposed robust stability condition requires checking the spectral radius of an appropriate matrix that that depends on uncertain parameters belonging to a polytope. Due to this polytope’s dependence, checking the spectral radius is difficult from the numerical viewpoint. As an attempt to solve the problem, we convert the polytope-based condition into a randomized approach. Namely, we present probability bounds that help us certificate the robust second-moment stability under high probability. A real-time electronic application illustrates the potential benefits of our approach.

Keywords: Stochastic systems; Markov jump linear systems; Stochastic stability; Robust stability; Packet dropout; RLC circuits (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:411:y:2021:i:c:s0096300321006251

DOI: 10.1016/j.amc.2021.126541

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