A discrete filled function method for the optimal control of switched systems in discrete time

In this paper, we consider the optimal control problem of discrete‐time switched systems. This problem is formulated as an optimization problem involving both continuous and discrete‐valued variables. It can be transformed into a discrete optimization problem. A metric in the space of switching sequ...

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Bibliographic Details
Published in:Optimal control applications & methods 2009-11, Vol.30 (6), p.585-593
Main Authors: Feng, Z. G., Teo, K. L., Rehbock, V.
Format: Article
Language:English
Subjects:
Algorithms
Descent
discrete filled function
Illustrations
Mathematical analysis
Mathematical models
Optimal control
Optimization
switched system
switching sequence
Switching sequences
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Summary:In this paper, we consider the optimal control problem of discrete‐time switched systems. This problem is formulated as an optimization problem involving both continuous and discrete‐valued variables. It can be transformed into a discrete optimization problem. A metric in the space of switching sequences is introduced and an appropriate discrete filled function is constructed. Then, an algorithm that combines the discrete filled function method and a descent method is developed for solving this problem. For illustration, some numerical examples are solved. Copyright © 2009 John Wiley & Sons, Ltd.
ISSN:0143-2087
1099-1514
DOI:10.1002/oca.885