Robust stability of stochastic systems with varying delays: application to RLC circuit with intermittent closed-loop
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hdl:2117/350730
Tipus de documentArticle
Data publicació2021-12-15
EditorElsevier
Condicions d'accésAccés obert
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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.
CitacióHamdi, E. [et al.]. Robust stability of stochastic systems with varying delays: application to RLC circuit with intermittent closed-loop. "Applied mathematics and computation", 15 Desembre 2021, vol. 411, art. 126541.
ISSN0096-3003
Versió de l'editorhttps://www.sciencedirect.com/science/article/abs/pii/S0096300321006251
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