Technical Communique: A closed-form optimal control for linear systems with equal state and input delays

Authors:
Michael Basin;Jesus Rodriguez-Gonzalez
Affiliations:
Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon, Apdo postal 144-F, C.P. 66450, San Nicolas de los Garza, Nuevo Leon, Mexico;Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon, Apdo postal 144-F, C.P. 66450, San Nicolas de los Garza, Nuevo Leon, Mexico
Venue:
Automatica (Journal of IFAC)
Year:
2005

Citing 3
Cited 3

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The linear-quadratic optimal control approach to feedback control design for systems with delay

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Linear quadratic regulation for linear time-varying systems with multiple input delays

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The stochastic maximum principle for optimal control problems of delay systems involving continuous and impulse controls

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Correspondence: Comments on "A closed-form optimal control for linear systems with equal state and input delays" [Automatica 41 (2005), 915-920]

Automatica (Journal of IFAC)

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Abstract

This paper presents the optimal regulator for a linear system with equal delays in state and input and a quadratic criterion. The optimal regulator equations are obtained using the maximum principle. Performance of the obtained optimal regulator is verified in the illustrative example against the best linear regulators available for the linear system without delays and for a rational approximation of the original time delay system. Simulation graphs demonstrating better performance of the obtained optimal regulator are included.