Stability analysis and design for switched descriptor systems

Guisheng Zhai, Ryuuen Kou, Joe Imae, Tomoaki Kobayashi

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

16 Citations (Scopus)

Abstract

In this paper, we consider stability analysis and design for switched systems consisting of linear descriptor systems that have the same descriptor matrix. When all descriptor systems are stable, we show that if the descriptor matrix and all the subsystem matrices are commutative pairwise, then the switched system is stable under arbitrary switching. This is an extension of the existing well known result in [1] for switched linear systems with state space models to switched descriptor systems. Under the same commutation condition, we also show that in the case where all the descriptor systems are not stable, if there is a stable convex combination of the unstable descriptor systems, then we can establish a class of switching laws which stabilize the switched system.

Original languageEnglish
Title of host publicationProceedings of the 2006 IEEE International Symposium on Intelligent Control, ISIC
Pages482-487
Number of pages6
DOIs
Publication statusPublished - 2006 Dec 1
Externally publishedYes
EventJoint 2006 IEEE Conference on Control Applications (CCA), Computer-Aided Control Systems Design Symposium (CACSD) and International Symposium on Intelligent Control (ISIC) - Munich, Germany
Duration: 2006 Oct 42006 Oct 6

Publication series

NameIEEE International Symposium on Intelligent Control - Proceedings

Conference

ConferenceJoint 2006 IEEE Conference on Control Applications (CCA), Computer-Aided Control Systems Design Symposium (CACSD) and International Symposium on Intelligent Control (ISIC)
CountryGermany
CityMunich
Period06/10/406/10/6

Keywords

  • Arbitrary switching
  • Commutation
  • Convex combination
  • Descriptor systems
  • Stability analysis
  • Stabilization
  • Switched systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering

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  • Cite this

    Zhai, G., Kou, R., Imae, J., & Kobayashi, T. (2006). Stability analysis and design for switched descriptor systems. In Proceedings of the 2006 IEEE International Symposium on Intelligent Control, ISIC (pp. 482-487). [4064924] (IEEE International Symposium on Intelligent Control - Proceedings). https://doi.org/10.1109/ISIC.2006.285599