Second order switching time optimization for time-varying nonlinear systems

Elliot R. Johnson, Todd D. Murphey

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

9 Scopus citations

Abstract

This paper presents second-order switching time optimization techniques for nonlinear time-varying systems that are piecewise second-differentiable. The techniques are based on direct analysis of flows rather than constrained optimization methods, making it possible to take higher order derivatives. The resulting algorithms also use the same number of integrations along the trajectory regardless of the number of switching times. Two examples are included - a linear example seen previously in the literature and a nonlinear example that emphasizes the fast convergence rates of second-order optimizations compared to first order techniques (e.g. convergence in 19 iterations compared to over 25,000).

Original languageEnglish (US)
Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Pages5281-5286
Number of pages6
DOIs
StatePublished - Dec 1 2009
Event48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China
Duration: Dec 15 2009Dec 18 2009

Publication series

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

Other

Other48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
CountryChina
CityShanghai
Period12/15/0912/18/09

ASJC Scopus subject areas

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

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