Static Output-Feedback Control of Retarded Stochastic Systems

Eli Gershon*, Uri Shaked

*Corresponding author for this work

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


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
Number of pages17
StatePublished - 2019

Publication series

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


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