A Closed-Form Optimal Control for Linear Systems with Multiple State Delays

Authors:	Basin Michael, Autonomous University of Nuevo Leon, Mexico Rodriguez-Gonzalez Jesus Guadalupe, Autonomous University of Nuevo Leon, Mexico
Topic:	2.4 Optimal Control
Session:	Optimal Control and Estimation in Linear Systems
Keywords:	Optimal control, linear time-delay system

Abstract

This paper presents the optimal regulator for a linear system with multiple state delays and aquadratic 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 bestlinear regulator available for linear systems without delays. Simulation graphs demonstrating better performance of the obtained optimal regulator with respect to the criterion value are included.