Stochastic H∞ Static output-feedback control of state-multiplicative discrete-time systems with delay

Eli Gershon; Liron Izhaki; Uri Shaked

doi:10.1109/ECC.2014.6862546

Stochastic H_∞ Static output-feedback control of state-multiplicative discrete-time systems with delay

Eli Gershon, Liron Izhaki, Uri Shaked

School of Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

We consider linear state-delayed discrete-time systems with stochastic uncertainties in their state-space model. The problem of H_∞ static output-feedback control is solved, for the stationary case, via the input-output approach by which 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 nominal and uncertain polytopic systems, where for the former, a single LMI is obtained and where in the latter a quadratic and a vertex-dependent approach are adopted. In both problems, a cost function is defined which is the expected value of the standard H_∞ performance index with respect to the uncertain parameters. A numerical example is given that demonstrates the applicability and tractability of the theory.

Original language	English
Title of host publication	2014 European Control Conference, ECC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1795-1800
Number of pages	6
ISBN (Electronic)	9783952426913
DOIs	https://doi.org/10.1109/ECC.2014.6862546
State	Published - 22 Jul 2014
Event	13th European Control Conference, ECC 2014 - Strasbourg, France Duration: 24 Jun 2014 → 27 Jun 2014

Publication series

Name	2014 European Control Conference, ECC 2014

Conference

Conference	13th European Control Conference, ECC 2014
Country/Territory	France
City	Strasbourg
Period	24/06/14 → 27/06/14

Keywords

Zero-order H control
input-output
retarded discrete-time systems

Access to Document

10.1109/ECC.2014.6862546

Cite this

Gershon, E., Izhaki, L., & Shaked, U. (2014). Stochastic H_∞ Static output-feedback control of state-multiplicative discrete-time systems with delay. In 2014 European Control Conference, ECC 2014 (pp. 1795-1800). Article 6862546 (2014 European Control Conference, ECC 2014). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ECC.2014.6862546

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Gershon, E, Izhaki, L & Shaked, U 2014, Stochastic H_∞ Static output-feedback control of state-multiplicative discrete-time systems with delay. in 2014 European Control Conference, ECC 2014., 6862546, 2014 European Control Conference, ECC 2014, Institute of Electrical and Electronics Engineers Inc., pp. 1795-1800, 13th European Control Conference, ECC 2014, Strasbourg, France, 24/06/14. https://doi.org/10.1109/ECC.2014.6862546

Stochastic H_∞ Static output-feedback control of state-multiplicative discrete-time systems with delay. / Gershon, Eli; Izhaki, Liron; Shaked, Uri.
2014 European Control Conference, ECC 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 1795-1800 6862546 (2014 European Control Conference, ECC 2014).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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