Projection-based switched system optimization: Absolute continuity of the line search

T. M. Caldwell*, Todd David Murphey

*Corresponding author for this work

Research output: Contribution to journalConference article

7 Scopus citations

Abstract

The line search is considered for the problem of numerical switched system optimization using projection-based techniques. Switched system optimization may be formulated as an infinite dimensional optimal control problem where the switching control design variables are constrained to the integers. Projection-based techniques handle the integer constraint by considering an equivalent problem with unconstrained design variables but where the cost is dependent on the projection of the design variables to the constrained set of feasible switched system trajectories. This paper is concerned with the line search step of the projection-based optimization procedure. The main result provides sufficient conditions on the descent direction so that the update rule is absolutely continuous with respect to the step size.

Original languageEnglish (US)
Article number6426270
Pages (from-to)699-706
Number of pages8
JournalProceedings of the IEEE Conference on Decision and Control
DOIs
StatePublished - Dec 1 2012
Event51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
Duration: Dec 10 2012Dec 13 2012

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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