A hybrid method for optimal discrete-valued control problems
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Authors
Wu, Changzhi
Teo, Kok
Date
2007Type
Conference Paper
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Wu, Changzhi and Teo, Kok Lay. 2007. A hybrid method for optimal discrete-valued control problems, in M. Fukushima (ed), Optimization: Techniques and Applications, Dec 12 2007, pp. 121-122. Kobe, Japan: Universal Academy Press
Source Title
Optimization: Techniques and Applications
Source Conference
Optimization: Techniques and Applications
ISBN
Faculty
School of Science and Computing
Department of Mathematics and Statistics
Faculty of Science and Engineering
Collection
Abstract
In this paper, we present a new approach to solve a class of optimal discrete-valued control problems. This type of problem is first transformed into an equivalent two-level optimization problem involving a combination of a discrete optimization problem and a standard optimal control problem. The standard optimal control problem can be solved by existing optimal control software packages such as MISER 3.2. For the discrete optimization problem, a discrete filled function method is developed to solve it. A numerical example is solved to illustrate the efficiency of our method.
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