Static Output-Feedback Control of Retarded Stochastic Systems

Eli Gershon, Uri Shaked

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

Linear, state-delayed, discrete-time systems with stochastic uncertainties in their state-space model are considered. The problem of H static output-feedback control is solved, for the stationary case, via the input–output approach where the system is replaced by a non-retarded system with deterministic norm-bounded uncertainties. Based on the BRL result of the above systems, solutions are obtained for the nominal and the uncertain polytopic cases where, for the former, a single linear matrix inequality solution is obtained and where, in the latter case, quadratic, less conservative, vertex-dependent approaches are adopted. A numerical example is given that demonstrates the applicability and tractability of the theory.

Original languageEnglish
Title of host publicationLecture Notes in Control and Information Sciences
PublisherSpringer Verlag
Pages187-203
Number of pages17
DOIs
StatePublished - 2019

Publication series

NameLecture Notes in Control and Information Sciences
Volume481
ISSN (Print)0170-8643
ISSN (Electronic)1610-7411

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