Quadratic stabilizability of discrete-time switched systems via state and output feedback

Research output: Contribution to journalConference article

95 Citations (Scopus)

Abstract

We study quadratic stabilizability via state and output feedback for switched systems composed of several discrete-time linear time-invariant subsystems, under the assumption that all subsystem matrices are unstable. We derive a sufficient condition expressed as a matrix inequality under which the switched system is quadratically stabilizable via state-based switching strategy, and we show the sufficient condition is also necessary if the number of subsystems is two. When a robust detectability condition is satisfied in addition to the sufficient condition, we construct a quadratically stabilizing switching strategy based on the measurement output.

Original languageEnglish
Pages (from-to)2165-2166
Number of pages2
JournalProceedings of the IEEE Conference on Decision and Control
Volume3
Publication statusPublished - 2001 Dec 1
Externally publishedYes
Event40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States
Duration: 2001 Dec 42001 Dec 7

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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