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 language | English |
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Pages (from-to) | 617-631 |
Number of pages | 15 |
Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm |
Volume | 4 |
Issue number | 4 |
Publication status | Published - 1 Dec 1998 |
Externally published | Yes |
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics