State-multiplicative Retarded Systems-Robust H2Static Output-feedback Control

Eli Gershon; Uri Shaked

doi:10.23919/ECC55457.2022.9838215

State-multiplicative Retarded Systems-Robust H₂Static Output-feedback Control

Eli Gershon, Uri Shaked

School of Electrical Engineering

Holon Institute of Technology

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

Abstract

The problem of robust static Linear Quadratic Regulation (LQR) problem is solved for uncertain, continuous time, retarded systems with multiplicative noise. A design solution is obtained, based on a descriptor approach, for the uncertain polytopic case where the parameters of the system matrices reside in a given polytope. The latter solution method enables the derivation of the required constant output gain by solving a set of linear matrix inequalities that correspond to the vertices of the uncertainty polytope. The theory developed is extended also to the gain-scheduling case.

Original language	English
Title of host publication	2022 European Control Conference, ECC 2022
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1158-1163
Number of pages	6
ISBN (Electronic)	9783907144077
DOIs	https://doi.org/10.23919/ECC55457.2022.9838215
State	Published - 2022
Event	2022 European Control Conference, ECC 2022 - London, United Kingdom Duration: 12 Jul 2022 → 15 Jul 2022

Publication series

Name	2022 European Control Conference, ECC 2022

Conference

Conference	2022 European Control Conference, ECC 2022
Country/Territory	United Kingdom
City	London
Period	12/07/22 → 15/07/22

Keywords

Robust control
polytopic uncertainty
static output-feedback
stochastic control

Access to Document

10.23919/ECC55457.2022.9838215

Cite this

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title = "State-multiplicative Retarded Systems-Robust H2Static Output-feedback Control",

abstract = "The problem of robust static Linear Quadratic Regulation (LQR) problem is solved for uncertain, continuous time, retarded systems with multiplicative noise. A design solution is obtained, based on a descriptor approach, for the uncertain polytopic case where the parameters of the system matrices reside in a given polytope. The latter solution method enables the derivation of the required constant output gain by solving a set of linear matrix inequalities that correspond to the vertices of the uncertainty polytope. The theory developed is extended also to the gain-scheduling case.",

keywords = "Robust control, polytopic uncertainty, static output-feedback, stochastic control",

author = "Eli Gershon and Uri Shaked",

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doi = "10.23919/ECC55457.2022.9838215",

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Gershon, E & Shaked, U 2022, State-multiplicative Retarded Systems-Robust H₂Static Output-feedback Control. in 2022 European Control Conference, ECC 2022. 2022 European Control Conference, ECC 2022, Institute of Electrical and Electronics Engineers Inc., pp. 1158-1163, 2022 European Control Conference, ECC 2022, London, United Kingdom, 12/07/22. https://doi.org/10.23919/ECC55457.2022.9838215

State-multiplicative Retarded Systems-Robust H₂Static Output-feedback Control. / Gershon, Eli; Shaked, Uri.
2022 European Control Conference, ECC 2022. Institute of Electrical and Electronics Engineers Inc., 2022. p. 1158-1163 (2022 European Control Conference, ECC 2022).

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

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