Projection-based switched system optimization

T. M. Caldwell*, T. D. Murphey

*Corresponding author for this work

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

9 Scopus citations


The Pontryagin Maximum Principle is applied to the switched system optimization problem resulting in a generalization of a well known necessary condition for switching time optimality. The switched system optimization may be formulated as an infinite dimensional problem where the switching control design variables, at any given time, are constrained to the integers. This paper analyzes projection-based techniques for handling the integer constraint. The necessary condition derived in this paper uses the cost composed with the projection of the design variables onto the feasible set. A specific form of projection is considered and two candidate projections are proposed one projects the immediate value of the switching control and neglects the state while the second is variable on the projected state error.

Original languageEnglish (US)
Title of host publication2012 American Control Conference, ACC 2012
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Print)9781457710957
StatePublished - 2012
Event2012 American Control Conference, ACC 2012 - Montreal, QC, Canada
Duration: Jun 27 2012Jun 29 2012

Publication series

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


Other2012 American Control Conference, ACC 2012
CityMontreal, QC

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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