TY - CHAP

T1 - Static Output-Feedback Control of Retarded Stochastic Systems

AU - Gershon, Eli

AU - Shaked, Uri

N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85066745300&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-16008-1_13

DO - 10.1007/978-3-030-16008-1_13

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AN - SCOPUS:85066745300

T3 - Lecture Notes in Control and Information Sciences

SP - 187

EP - 203

BT - Lecture Notes in Control and Information Sciences

PB - Springer Verlag

ER -