Optimal control for linear systems with time delay in control input

This paper presents the optimal regulator for a linear system with time delay in control input and a quadratic cost function. The optimal regulator equations are obtained using the duality principle, which is applied to the optimal filter for linear systems with time delay in observations, and then...

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Bibliographic Details
Published in:Journal of the Franklin Institute 2004-05, Vol.341 (3), p.267-278
Main Authors: Basin, Michael, Rodriguez-Gonzalez, Jesus, Martinez-Zuniga, Rodolfo
Format: Article
Language:English
Subjects:
Filtering
Linear time-delay system
Optimal control
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Summary:This paper presents the optimal regulator for a linear system with time delay in control input and a quadratic cost function. The optimal regulator equations are obtained using the duality principle, which is applied to the optimal filter for linear systems with time delay in observations, and then proved using the maximum principle. Performance of the obtained optimal regulator is verified in the illustrative example against the best linear regulator available for linear systems without delays. Simulation graphs and comparison tables demonstrating better performance of the obtained optimal regulator are included.
ISSN:0016-0032
1879-2693
DOI:10.1016/j.jfranklin.2003.12.004