Quadratic stabilization and L2 gain analysis of switched affine systems

Chi Huang, Guisheng Zhai, Wenzhi Li

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

3 Citations (Scopus)

Abstract

We consider quadratic stabilization and L2 gain analysis for switched systems which are composed of a finite set of time-invariant affine subsystems. Both subsystem matrices and vectors are switched, and no single subsystem has desired quadratic stability or specific L2 gain property. We show that if a convex combination of subsystem matrices is Hurwitz and another convex combination of affine vectors is zero, then we can design a state-dependent switching law (state feedback) and an output-dependent switching law (output feedback) such that the entire switched system is quadratically stable. The result is also extended to L2 gain analysis under state feedback.

Original languageEnglish
Title of host publicationProceedings of the 29th Chinese Control and Decision Conference, CCDC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2018-2023
Number of pages6
ISBN (Electronic)9781509046560
DOIs
Publication statusPublished - 2017 Jul 12
Event29th Chinese Control and Decision Conference, CCDC 2017 - Chongqing, China
Duration: 2017 May 282017 May 30

Other

Other29th Chinese Control and Decision Conference, CCDC 2017
CountryChina
CityChongqing
Period17/5/2817/5/30

Fingerprint

Stabilization
Subsystem

Keywords

  • Convex combination
  • L gain
  • LMIs
  • Output feedback
  • Quadratic stabilization
  • State feedback
  • Switched affine systems
  • Switching law

ASJC Scopus subject areas

  • Decision Sciences (miscellaneous)
  • Control and Optimization

Cite this

Huang, C., Zhai, G., & Li, W. (2017). Quadratic stabilization and L2 gain analysis of switched affine systems. In Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017 (pp. 2018-2023). [7978848] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC.2017.7978848

Quadratic stabilization and L2 gain analysis of switched affine systems. / Huang, Chi; Zhai, Guisheng; Li, Wenzhi.

Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 2018-2023 7978848.

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

Huang, C, Zhai, G & Li, W 2017, Quadratic stabilization and L2 gain analysis of switched affine systems. in Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017., 7978848, Institute of Electrical and Electronics Engineers Inc., pp. 2018-2023, 29th Chinese Control and Decision Conference, CCDC 2017, Chongqing, China, 17/5/28. https://doi.org/10.1109/CCDC.2017.7978848
Huang C, Zhai G, Li W. Quadratic stabilization and L2 gain analysis of switched affine systems. In Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017. Institute of Electrical and Electronics Engineers Inc. 2017. p. 2018-2023. 7978848 https://doi.org/10.1109/CCDC.2017.7978848
Huang, Chi ; Zhai, Guisheng ; Li, Wenzhi. / Quadratic stabilization and L2 gain analysis of switched affine systems. Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 2018-2023
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