Stabilizing discrete-time switched linear stochastic systems using periodically available imprecise mode information

Ahmet Cetinkaya; Tomohisa Hayakawa

doi:10.1109/acc.2013.6580335

Stabilizing discrete-time switched linear stochastic systems using periodically available imprecise mode information

Ahmet Cetinkaya, Tomohisa Hayakawa

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

6 Citations (Scopus)

Abstract

A feedback control framework is developed for stabilizing discrete-time switched linear stochastic dynamical systems for the case where the mode of the switched system is not observable at all time instants. We propose a feedback control law that depends only on the periodically obtained imprecise mode information. Specifically, the modes of the switched system are assumed to be divided into a number of groups, and the periodically available mode information indicates only the group that contains the active mode. We obtain sufficient conditions for second-moment asymptotic stability of the closed-loop system under our proposed control law. We demonstrate the efficacy of our approach through an illustrative numerical example.

Original language	English
Title of host publication	2013 American Control Conference, ACC 2013
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3266-3271
Number of pages	6
ISBN (Print)	9781479901777
DOIs	https://doi.org/10.1109/acc.2013.6580335
Publication status	Published - 2013
Externally published	Yes
Event	2013 1st American Control Conference, ACC 2013 - Washington, DC, United States Duration: 2013 Jun 17 → 2013 Jun 19

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Conference

Conference	2013 1st American Control Conference, ACC 2013
Country/Territory	United States
City	Washington, DC
Period	13/6/17 → 13/6/19

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/acc.2013.6580335

Cite this

Cetinkaya, A., & Hayakawa, T. (2013). Stabilizing discrete-time switched linear stochastic systems using periodically available imprecise mode information. In 2013 American Control Conference, ACC 2013 (pp. 3266-3271). Article 6580335 (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/acc.2013.6580335

Stabilizing discrete-time switched linear stochastic systems using periodically available imprecise mode information. / Cetinkaya, Ahmet; Hayakawa, Tomohisa.
2013 American Control Conference, ACC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 3266-3271 6580335 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Cetinkaya, A & Hayakawa, T 2013, Stabilizing discrete-time switched linear stochastic systems using periodically available imprecise mode information. in 2013 American Control Conference, ACC 2013., 6580335, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 3266-3271, 2013 1st American Control Conference, ACC 2013, Washington, DC, United States, 13/6/17. https://doi.org/10.1109/acc.2013.6580335

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abstract = "A feedback control framework is developed for stabilizing discrete-time switched linear stochastic dynamical systems for the case where the mode of the switched system is not observable at all time instants. We propose a feedback control law that depends only on the periodically obtained imprecise mode information. Specifically, the modes of the switched system are assumed to be divided into a number of groups, and the periodically available mode information indicates only the group that contains the active mode. We obtain sufficient conditions for second-moment asymptotic stability of the closed-loop system under our proposed control law. We demonstrate the efficacy of our approach through an illustrative numerical example.",

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AB - A feedback control framework is developed for stabilizing discrete-time switched linear stochastic dynamical systems for the case where the mode of the switched system is not observable at all time instants. We propose a feedback control law that depends only on the periodically obtained imprecise mode information. Specifically, the modes of the switched system are assumed to be divided into a number of groups, and the periodically available mode information indicates only the group that contains the active mode. We obtain sufficient conditions for second-moment asymptotic stability of the closed-loop system under our proposed control law. We demonstrate the efficacy of our approach through an illustrative numerical example.

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Stabilizing discrete-time switched linear stochastic systems using periodically available imprecise mode information

Abstract

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