Joint synthesis of switching and feedback for linear systems in discrete time

Ji Woong Lee, Geir E Dullerud

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

Abstract

The paper is concerned with control of switched linear systems, and proves two new fundamental results (equivalence and separation) about feedback policies for these systems. Addressed is the problem of jointly synthesizing a switching rule and a feedback controller for guaranteed stability and performance levels subject to well-posedness-like constraints. Two main results of the paper are the equivalence of open-loop and closed-loop switching, and the separation between switching and feedback. That is, open-loop switching rules are non-conservative for stabilization and performance optimization, and in output feedback control they can be obtained separately from the feedback controller. The synthesis conditions for switching and feedback are convex and expressed in terms of linear matrix inequalities.

Original languageEnglish (US)
Title of host publicationHSCC'11 - Proceedings of the 2011 ACM/SIGBED Hybrid Systems
Subtitle of host publicationComputation and Control
Pages201-209
Number of pages9
DOIs
StatePublished - May 20 2011
Event14th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2011 - Chicago, IL, United States
Duration: Apr 12 2011Apr 14 2011

Publication series

NameHSCC'11 - Proceedings of the 2011 ACM/SIGBED Hybrid Systems: Computation and Control

Other

Other14th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2011
CountryUnited States
CityChicago, IL
Period4/12/114/14/11

Keywords

  • Feedback control
  • Hybrid systems
  • Linear matrix inequality
  • Small gain property
  • Stability

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Control and Systems Engineering

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