An adjoint method for second-order switching time optimization

T. M. Caldwell, T. D. Murphey

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

6 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
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2155-2162
Number of pages8
ISBN (Print)9781424477456
DOIs
StatePublished - 2010
Event49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States
Duration: Dec 15 2010Dec 17 2010

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Conference

Conference49th IEEE Conference on Decision and Control, CDC 2010
Country/TerritoryUnited States
CityAtlanta
Period12/15/1012/17/10

ASJC Scopus subject areas

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

Fingerprint

Dive into the research topics of 'An adjoint method for second-order switching time optimization'. Together they form a unique fingerprint.

Cite this