Fast switching analysis of linear switched systems using exponential splitting

Maurizio Porfiri, D. G. Roberson, D. J. Stilwell

Research output: Contribution to journalArticle

Abstract

Stability of periodic switched linear systems with fast switching patterns is studied by combining the method of averaging with exponential splitting. This approach yields less conservative bounds on stabilizing fast switching rates than can be obtained with prior approaches. Such bounds can be useful for analysis and design of switching control laws. The method is also generalized to arbitrary (including nonperiodic nonswitched) time-varying systems. In particular, the effects of time-varying state perturbations on the stability of linear periodic switched systems are analyzed.

Original languageEnglish (US)
Pages (from-to)2582-2597
Number of pages16
JournalSIAM Journal on Control and Optimization
Volume47
Issue number5
DOIs
StatePublished - 2008

Fingerprint

Switched Linear Systems
Switching Control
Time-varying Systems
Switched Systems
Periodic Systems
Averaging
Time-varying
Time varying systems
Perturbation
Linear systems
Arbitrary
Design

Keywords

  • Averaging method
  • Exponential splitting
  • Fast switching
  • Linear systems
  • Stability
  • Switched systems

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics

Cite this

Fast switching analysis of linear switched systems using exponential splitting. / Porfiri, Maurizio; Roberson, D. G.; Stilwell, D. J.

In: SIAM Journal on Control and Optimization, Vol. 47, No. 5, 2008, p. 2582-2597.

Research output: Contribution to journalArticle

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