Stabilization of switched linear stochastic dynamical systems under limited mode information

Ahmet Cetinkaya; Tomohisa Hayakawa

doi:10.1109/CDC.2011.6161426

Stabilization of switched linear stochastic dynamical systems under limited mode information

Ahmet Cetinkaya, Tomohisa Hayakawa

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

6 Citations (Scopus)

Abstract

Almost sure asymptotic stabilization problem of continuous-time switched linear stochastic dynamical systems is considered. The mode signal, which manages the transition between subsystems, is modeled as a Markov chain. Mode information is assumed to be only available at certain time instances. We propose a control law that depends on the sampled information of the mode signal, which is constructed from the available mode samples. Based on our stability analysis for switched linear stochastic systems, we obtain sufficient conditions under which the proposed control law guarantees stability of the zero solution. Finally, we present an illustrative numerical example to demonstrate the efficacy of our results.

Original language	English
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	8032-8037
Number of pages	6
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6161426
Publication status	Published - 2011
Externally published	Yes
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: 2011 Dec 12 → 2011 Dec 15

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States
City	Orlando, FL
Period	11/12/12 → 11/12/15

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

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10.1109/CDC.2011.6161426

Cite this

Cetinkaya, A., & Hayakawa, T. (2011). Stabilization of switched linear stochastic dynamical systems under limited mode information. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 8032-8037). [6161426] (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6161426

Stabilization of switched linear stochastic dynamical systems under limited mode information. / Cetinkaya, Ahmet; Hayakawa, Tomohisa.

2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 8032-8037 6161426 (Proceedings of the IEEE Conference on Decision and Control).

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

Cetinkaya, A & Hayakawa, T 2011, Stabilization of switched linear stochastic dynamical systems under limited mode information. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6161426, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 8032-8037, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 11/12/12. https://doi.org/10.1109/CDC.2011.6161426

Cetinkaya A, Hayakawa T. Stabilization of switched linear stochastic dynamical systems under limited mode information. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc. 2011. p. 8032-8037. 6161426. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2011.6161426

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AB - Almost sure asymptotic stabilization problem of continuous-time switched linear stochastic dynamical systems is considered. The mode signal, which manages the transition between subsystems, is modeled as a Markov chain. Mode information is assumed to be only available at certain time instances. We propose a control law that depends on the sampled information of the mode signal, which is constructed from the available mode samples. Based on our stability analysis for switched linear stochastic systems, we obtain sufficient conditions under which the proposed control law guarantees stability of the zero solution. Finally, we present an illustrative numerical example to demonstrate the efficacy of our results.

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Stabilization of switched linear stochastic dynamical systems under limited mode information

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