2012
IMAACA 2012 Proceeding
Finite horizon h_infinity cheap control problem for a class of linear systems with state delays
Authors: Valery Y. Glizer
Abstract
A finite horizon H-infinity cheap control problem with a given performance level for a linear system with state delays is considered. By a proper transformation of the control variable, this problem is converted to an H- infinity control problem for a singularly perturbed system. For this new problem, parameter-free sufficient conditions of the existence of solution and the solution (controller) itself are obtained. These results are applied to solution of a nonstandard H-infinity control problem.
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