Control parametrization enhancing technique for time optimal control and optimal three-valued control problems

K. L. Teo, Heung Wing Joseph Lee, V. Rehbock

Research output: Journal article publicationJournal articleAcademic researchpeer-review

8 Citations (Scopus)

Abstract

In this paper, we review a recently developed problem transformation called control parametrization enhancing transform (CPET) for time optimal control and optimal three-valued control problems. Under CPET, the switching times of the control of a time optimal control problem, for which their locations are not known in advance, are mapped on to a set of fixed knots in a new time scale. Moreover, under CPET, optimal three-valued control problems are shown to be equivalent to optimal control problems involving a new control function which is piecewise constant with pre-fixed switching points. Hence, both transformed problems can be readily solved by the classical control parametrization technique. For illustration, numerical examples are included.
Original languageEnglish
Pages (from-to)617-631
Number of pages15
JournalDynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm
Volume4
Issue number4
Publication statusPublished - 1 Dec 1998
Externally publishedYes

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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