An adjoint method for second-order switching time optimization

T. M. Caldwell, Todd David Murphey

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

4 Scopus citations

Abstract

Switched systems evolve over a sequence of continuous modes of operation, transitioning between modes in a discrete manner. Assuming a mode sequence is known, the evolution of a switched system is dictated by the set of times for which the modes transition. This paper presents second-order optimization of these switching times and compares its convergence with first-order switching time optimization. We emphasize the importance of the second-order method because it exhibits quadratic convergence and because even for relatively simple examples, first-order methods fail to converge on time scales compatible with real-time operation.

Original languageEnglish (US)
Title of host publication2010 49th IEEE Conference on Decision and Control, CDC 2010
Pages2155-2162
Number of pages8
DOIs
StatePublished - Dec 1 2010
Event2010 49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, GA, United States
Duration: Dec 15 2010Dec 17 2010

Other

Other2010 49th IEEE Conference on Decision and Control, CDC 2010
CountryUnited States
CityAtlanta, GA
Period12/15/1012/17/10

ASJC Scopus subject areas

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

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