Quadratic Stabilization of Uncertain Switched Affine Systems

An Observer-Based Approach

Guisheng Zhai, Wenzhi Li, Chi Huang, Minqing Xiao

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

Abstract

This paper investigates quadratic stabilization of switched systems which are composed of uncertain affine subsystems, where both subsystem matrices and affine vectors are switched, and no single subsystem is quadratically stable. We show that if a linear convex combination of subsystem linear parts satisfies a convex stabilizability and robust detectability condition, and another convex combination of affine vectors is zero, then we design an output-dependent switching law such that the entire uncertain switched affine system is quadratically stable. The discussion is extended to the case of designing output feedback and switching laws simultaneously.

Original languageEnglish
Title of host publication2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages362-367
Number of pages6
ISBN (Electronic)9784907764609
DOIs
Publication statusPublished - 2018 Oct 15
Event57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018 - Nara, Japan
Duration: 2018 Sep 112018 Sep 14

Other

Other57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018
CountryJapan
CityNara
Period18/9/1118/9/14

Fingerprint

Stabilization
stabilization
output
Feedback
matrices

Keywords

  • Convex combination
  • LMIs
  • Norm bounded uncertainties
  • Output feedback
  • Quadratic stabilization
  • Switched affine systems (SAS)
  • Switching law

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization
  • Instrumentation

Cite this

Zhai, G., Li, W., Huang, C., & Xiao, M. (2018). Quadratic Stabilization of Uncertain Switched Affine Systems: An Observer-Based Approach. In 2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018 (pp. 362-367). [8492608] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/SICE.2018.8492608

Quadratic Stabilization of Uncertain Switched Affine Systems : An Observer-Based Approach. / Zhai, Guisheng; Li, Wenzhi; Huang, Chi; Xiao, Minqing.

2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 362-367 8492608.

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

Zhai, G, Li, W, Huang, C & Xiao, M 2018, Quadratic Stabilization of Uncertain Switched Affine Systems: An Observer-Based Approach. in 2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018., 8492608, Institute of Electrical and Electronics Engineers Inc., pp. 362-367, 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018, Nara, Japan, 18/9/11. https://doi.org/10.23919/SICE.2018.8492608
Zhai G, Li W, Huang C, Xiao M. Quadratic Stabilization of Uncertain Switched Affine Systems: An Observer-Based Approach. In 2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 362-367. 8492608 https://doi.org/10.23919/SICE.2018.8492608
Zhai, Guisheng ; Li, Wenzhi ; Huang, Chi ; Xiao, Minqing. / Quadratic Stabilization of Uncertain Switched Affine Systems : An Observer-Based Approach. 2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 362-367
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