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An optimal regulator for linear systems with multiple state and input delays
Author(s) -
Basin Michael,
Perez Joel
Publication year - 2006
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.779
Subject(s) - regulator , linear quadratic regulator , control theory (sociology) , linear regulator , linear system , state (computer science) , mathematics , quadratic equation , linear quadratic gaussian control , computer science , optimal control , mathematical optimization , control (management) , algorithm , mathematical analysis , biochemistry , chemistry , geometry , artificial intelligence , gene
This paper presents an optimal regulator for a linear system with multiple state and input delays and a quadratic criterion. The optimal regulator equations are obtained reducing the original problem to the linear‐quadratic regulator design for a system without delays. 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 two rational approximations of the original time‐delay system. Simulation graphs demonstrating better performance of the obtained optimal regulator with respect to the criterion value are included. Copyright © 2006 John Wiley & Sons, Ltd.