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

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

96 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
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages2165-2166
Number of pages2
Volume3
Publication statusPublished - 2001
Externally publishedYes
Event40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States
Duration: 2001 Dec 42001 Dec 7

Other

Other40th IEEE Conference on Decision and Control (CDC)
CountryUnited States
CityOrlando, FL
Period01/12/401/12/7

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ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Zhai, G. (2001). Quadratic stabilizability of discrete-time switched systems via state and output feedback. In Proceedings of the IEEE Conference on Decision and Control (Vol. 3, pp. 2165-2166)

Quadratic stabilizability of discrete-time switched systems via state and output feedback. / Zhai, Guisheng.

Proceedings of the IEEE Conference on Decision and Control. Vol. 3 2001. p. 2165-2166.

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

Zhai, G 2001, Quadratic stabilizability of discrete-time switched systems via state and output feedback. in Proceedings of the IEEE Conference on Decision and Control. vol. 3, pp. 2165-2166, 40th IEEE Conference on Decision and Control (CDC), Orlando, FL, United States, 01/12/4.
Zhai G. Quadratic stabilizability of discrete-time switched systems via state and output feedback. In Proceedings of the IEEE Conference on Decision and Control. Vol. 3. 2001. p. 2165-2166
Zhai, Guisheng. / Quadratic stabilizability of discrete-time switched systems via state and output feedback. Proceedings of the IEEE Conference on Decision and Control. Vol. 3 2001. pp. 2165-2166
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