Quadratic Stabilization of Switched Uncertain Linear Systems

Yufang Chang, Bo Fu, Guisheng Zhai

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

Abstract

We consider quadratic stabilization for switched systems which are composed of a finite set of linear sub-systems with norm bounded uncertainties. Assuming that no single subsystem has desired quadratic stability, we show that if a convex combination of subsystems is quadratically stable, then we can design a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched system is quadratically stable. When the state information is not available, we extend the discussion to design an output-dependent switching law by constructing a robust Luenberger observer.

Original languageEnglish
Title of host publicationProceedings of the 30th Chinese Control and Decision Conference, CCDC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4727-4731
Number of pages5
ISBN (Electronic)9781538612439
DOIs
Publication statusPublished - 2018 Jul 6
Event30th Chinese Control and Decision Conference, CCDC 2018 - Shenyang, China
Duration: 2018 Jun 92018 Jun 11

Other

Other30th Chinese Control and Decision Conference, CCDC 2018
CountryChina
CityShenyang
Period18/6/918/6/11

Fingerprint

Linear systems
Stabilization
Subsystem
Uncertainty

Keywords

  • convex combination
  • LMIs
  • norm bounded uncertainties
  • output-dependent switching
  • quadratic stabilization
  • state-dependent switching
  • Switched linear systems (SLS)

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Science Applications
  • Control and Optimization
  • Decision Sciences (miscellaneous)

Cite this

Chang, Y., Fu, B., & Zhai, G. (2018). Quadratic Stabilization of Switched Uncertain Linear Systems. In Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018 (pp. 4727-4731). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC.2018.8407949

Quadratic Stabilization of Switched Uncertain Linear Systems. / Chang, Yufang; Fu, Bo; Zhai, Guisheng.

Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 4727-4731.

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

Chang, Y, Fu, B & Zhai, G 2018, Quadratic Stabilization of Switched Uncertain Linear Systems. in Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018. Institute of Electrical and Electronics Engineers Inc., pp. 4727-4731, 30th Chinese Control and Decision Conference, CCDC 2018, Shenyang, China, 18/6/9. https://doi.org/10.1109/CCDC.2018.8407949
Chang Y, Fu B, Zhai G. Quadratic Stabilization of Switched Uncertain Linear Systems. In Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 4727-4731 https://doi.org/10.1109/CCDC.2018.8407949
Chang, Yufang ; Fu, Bo ; Zhai, Guisheng. / Quadratic Stabilization of Switched Uncertain Linear Systems. Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 4727-4731
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