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H∞ Control of Linear Singularly Perturbed Systems with Small State Delay

✍ Scribed by Valery Y. Glizer; Emilia Fridman

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
239 KB
Volume
250
Category
Article
ISSN
0022-247X

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✦ Synopsis

An infinite horizon H state-feedback control problem for singularly perturbed ϱ linear systems with a small state delay is considered. An asymptotic solution of the hybrid system of Riccati-type algebraic, ordinary differential, and partial differential equations with deviating arguments, associated with this problem, is constructed. Based on this asymptotic solution, conditions for the existence of a solution of the original H problem, independent of the singular perturbation ϱ parameter, are derived. A simplified controller with parameter-independent gain matrices, solving the original problem for all sufficiently small values of this parameter, is obtained. An illustrative example is presented.

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