Path-by-path output regulation of switched systems with a receding horizon of modal knowledge

Ray Essick, Ji Woong Lee, Geir E Dullerud

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

Abstract

We address a discrete-time LQG control problem over a fixed performance window and apply a receding-horizon type control strategy, resulting in an exact solution to the problem in terms of semidefinite programming. The systems considered take parameters from a finite set, and switch between them according to an automaton. The controller has a finite preview of future parameters, beyond which only the set of parameters is known. We provide necessary and sufficient convex conditions for the existence of a controller which guarantees both exponential stability and finite-horizon performance levels for the system; the performance levels may differ according to the particular parameter sequence within the performance window. A simple, physics-based example is provided to illustrate the main results.

Original languageEnglish (US)
Title of host publication2014 American Control Conference, ACC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2650-2655
Number of pages6
ISBN (Print)9781479932726
DOIs
StatePublished - Jan 1 2014
Event2014 American Control Conference, ACC 2014 - Portland, OR, United States
Duration: Jun 4 2014Jun 6 2014

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2014 American Control Conference, ACC 2014
Country/TerritoryUnited States
CityPortland, OR
Period6/4/146/6/14

Keywords

  • LMIs
  • Stability of linear systems
  • Switched systems

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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