Stability of Markov jump systems with quadratic terms and its application to RLC circuits

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2017 Spain English Publisher:Elsevier BVJournal:Journal of the Franklin Institute, volume 354, pages 332-344 (issn: 0016-0032,

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Authors: Vargas, Alessandro; Pujol Vázquez, Gisela; Acho Zuppa, Leonardo;

doi: 10.1016/j.jfranklin.2016.08.031

handle: 2117/90847

Stability of Markov jump systems with quadratic terms and its application to RLC circuits

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Abstract

The paper presents results for the second moment stability of continuous-time Markov jump systems with quadratic terms, aiming for engineering applications. Quadratic terms stem from physical constraints in applications, as in electronic circuits based on resistor (R), inductor (L), and capacitor (C). In the paper, an RLC circuit supplied a load driven by jumps produced by a Markov chain—the RLC circuit used sensors that measured the quadratic of electrical currents and voltages. Our result was then used to design a stabilizing controller for the RLC circuit with measurements based on that quadratic terms. The experimental data confirm the usefulness of our approach.

Peer Reviewed

Country

Spain

Related Organizations

Federal University of Technology – Paraná
Brazil
Universitat Politècnica de Catalunya
Spain
Universitat Polite`cnica de Catalunya
Spain

Keywords

Stochastic systems, Àrees temàtiques de la UPC::Matemàtiques i estadística::Probabilitat, Markov processes, Quadratic systems, stability, Distribució (Teoria de la probabilitat), Classificació AMS::60 Probability theory and stochastic processes::60J Markov processes, Markov, Processos de, Markov, Electronic circuits, Distribution (Probability theory), Markov jump systems, :Matemàtiques i estadística::Probabilitat [Àrees temàtiques de la UPC], Processos de, electronic circuits, :60 Probability theory and stochastic processes::60J Markov processes [Classificació AMS], Stochastic stability in control theory, Jump processes, Circuits, networks, Stability

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