Optimal control for linear systems with time delay in control input based on the duality principle

Author

Basin, Michael ; Rodriguez-gonzalez, Jesus ; Martinez-zuniga, Rodolfo

Author_Institution

Autonomous Univ. of Nuevo Leon, Mexico City, Mexico

Volume

3

fYear

2003

fDate

4-6 June 2003

Firstpage

2144

Abstract

This paper presents the optimal regulator for a linear system with time delay in control input and a quadratic criterion. 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. 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.

Keywords

delay systems; duality (mathematics); linear systems; optimal control; comparison tables; control input; duality principle; linear regulator; linear systems; optimal control; optimal filter; optimal regulator equations; quadratic criterion; simulation graphs; time delay systems; Control systems; Delay effects; Delay lines; Delay systems; Ear; Equations; Linear systems; Nonlinear filters; Optimal control; Regulators;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1243391

Filename

1243391