Stabilization of switched linear uncertain stochastic systems

Yufang Chang, Guisheng Zhai, Bo Fu, Lianglin Xiong

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider global quadratic stabilization in probability for switched systems which are composed of a finite set of linear uncertain stochastic subsystems with norm bounded uncertainties. Assuming that no single subsystem is globally quadratically stable in probability (GQS-P), we show that if a convex combination of subsystems is GQS-P, then we can design a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched system is GQS-P. A numerical example is provided to show effectiveness of the proposed approach.

Original languageEnglish
Title of host publicationProceedings of the 38th Chinese Control Conference, CCC 2019
EditorsMinyue Fu, Jian Sun
PublisherIEEE Computer Society
Pages1784-1788
Number of pages5
ISBN (Electronic)9789881563972
DOIs
Publication statusPublished - 2019 Jul
Event38th Chinese Control Conference, CCC 2019 - Guangzhou, China
Duration: 2019 Jul 272019 Jul 30

Publication series

NameChinese Control Conference, CCC
Volume2019-July
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference38th Chinese Control Conference, CCC 2019
CountryChina
CityGuangzhou
Period19/7/2719/7/30

Fingerprint

Stochastic systems
Stabilization

Keywords

  • Convex combination
  • Globally quadratically stable in probability (GQS-P)
  • LMIs
  • Norm bounded uncertainties
  • Output-dependent switching
  • State-dependent switching
  • Switched linear uncertain stochastic systems (SLUSS)

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Applied Mathematics
  • Modelling and Simulation

Cite this

Chang, Y., Zhai, G., Fu, B., & Xiong, L. (2019). Stabilization of switched linear uncertain stochastic systems. In M. Fu, & J. Sun (Eds.), Proceedings of the 38th Chinese Control Conference, CCC 2019 (pp. 1784-1788). [8865321] (Chinese Control Conference, CCC; Vol. 2019-July). IEEE Computer Society. https://doi.org/10.23919/ChiCC.2019.8865321

Stabilization of switched linear uncertain stochastic systems. / Chang, Yufang; Zhai, Guisheng; Fu, Bo; Xiong, Lianglin.

Proceedings of the 38th Chinese Control Conference, CCC 2019. ed. / Minyue Fu; Jian Sun. IEEE Computer Society, 2019. p. 1784-1788 8865321 (Chinese Control Conference, CCC; Vol. 2019-July).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Chang, Y, Zhai, G, Fu, B & Xiong, L 2019, Stabilization of switched linear uncertain stochastic systems. in M Fu & J Sun (eds), Proceedings of the 38th Chinese Control Conference, CCC 2019., 8865321, Chinese Control Conference, CCC, vol. 2019-July, IEEE Computer Society, pp. 1784-1788, 38th Chinese Control Conference, CCC 2019, Guangzhou, China, 19/7/27. https://doi.org/10.23919/ChiCC.2019.8865321
Chang Y, Zhai G, Fu B, Xiong L. Stabilization of switched linear uncertain stochastic systems. In Fu M, Sun J, editors, Proceedings of the 38th Chinese Control Conference, CCC 2019. IEEE Computer Society. 2019. p. 1784-1788. 8865321. (Chinese Control Conference, CCC). https://doi.org/10.23919/ChiCC.2019.8865321
Chang, Yufang ; Zhai, Guisheng ; Fu, Bo ; Xiong, Lianglin. / Stabilization of switched linear uncertain stochastic systems. Proceedings of the 38th Chinese Control Conference, CCC 2019. editor / Minyue Fu ; Jian Sun. IEEE Computer Society, 2019. pp. 1784-1788 (Chinese Control Conference, CCC).
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