Robust stability of stochastic systems with varying delays: application to RLC circuit with intermittent closed-loop
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...
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/350730 |
| Acceso en línea: | https://hdl.handle.net/2117/350730 https://dx.doi.org/10.1016/j.amc.2021.126541 |
| Access Level: | acceso abierto |
| Palabra clave: | Markov processes Electric circuits Distribution (Probability theory) Stochastic systems Markov jump linear systems Stochastic stability Robust stability Packet dropout RLC circuits Markov, Processos de Circuits elèctrics Distribució (Teoria de la probabilitat) Àrees temàtiques de la UPC::Matemàtiques i estadística::Probabilitat |
| Sumario: | 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. |
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