Variable structure control with generalized relays: A simple convex optimization approach

Laurentiu Hetel; Emilia Fridman; Thierry Floquet

doi:10.1109/TAC.2014.2331417

Variable structure control with generalized relays: A simple convex optimization approach

Laurentiu Hetel, Emilia Fridman, Thierry Floquet

School of Electrical Engineering

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

The article proposes a convex optimization approach for the design of relay feedback controllers. The case of linear systems is studied in the presence of matched perturbations. The system input is a generalized relay that may take values in a finite set of constant vectors. A simple design method is proposed using linear matrix inequalities (LMIs). Furthermore, the approach is used in the sampled-data case in order to guarantee (locally) the practical stabilization to a bounded ellipsoid of the order of the sampling interval. Time-varying uncertainties (in the state matrix and the sampling interval) can be easily included in the analysis.

Original language	English
Article number	6839009
Pages (from-to)	497-502
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	60
Issue number	2
DOIs	https://doi.org/10.1109/TAC.2014.2331417
State	Published - 1 Feb 2015

Keywords

Linear matrix inequalities (LMIs)
Relay feedback control
Sampled-data control
Switched systems

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2014.2331417

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title = "Variable structure control with generalized relays: A simple convex optimization approach",

abstract = "The article proposes a convex optimization approach for the design of relay feedback controllers. The case of linear systems is studied in the presence of matched perturbations. The system input is a generalized relay that may take values in a finite set of constant vectors. A simple design method is proposed using linear matrix inequalities (LMIs). Furthermore, the approach is used in the sampled-data case in order to guarantee (locally) the practical stabilization to a bounded ellipsoid of the order of the sampling interval. Time-varying uncertainties (in the state matrix and the sampling interval) can be easily included in the analysis.",

keywords = "Linear matrix inequalities (LMIs), Relay feedback control, Sampled-data control, Switched systems",

author = "Laurentiu Hetel and Emilia Fridman and Thierry Floquet",

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T2 - A simple convex optimization approach

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AU - Fridman, Emilia

AU - Floquet, Thierry

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Y1 - 2015/2/1

N2 - The article proposes a convex optimization approach for the design of relay feedback controllers. The case of linear systems is studied in the presence of matched perturbations. The system input is a generalized relay that may take values in a finite set of constant vectors. A simple design method is proposed using linear matrix inequalities (LMIs). Furthermore, the approach is used in the sampled-data case in order to guarantee (locally) the practical stabilization to a bounded ellipsoid of the order of the sampling interval. Time-varying uncertainties (in the state matrix and the sampling interval) can be easily included in the analysis.

AB - The article proposes a convex optimization approach for the design of relay feedback controllers. The case of linear systems is studied in the presence of matched perturbations. The system input is a generalized relay that may take values in a finite set of constant vectors. A simple design method is proposed using linear matrix inequalities (LMIs). Furthermore, the approach is used in the sampled-data case in order to guarantee (locally) the practical stabilization to a bounded ellipsoid of the order of the sampling interval. Time-varying uncertainties (in the state matrix and the sampling interval) can be easily included in the analysis.

KW - Linear matrix inequalities (LMIs)

KW - Relay feedback control

KW - Sampled-data control

KW - Switched systems

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DO - 10.1109/TAC.2014.2331417

M3 - مقالة

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SP - 497

EP - 502

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 2

M1 - 6839009

ER -

Variable structure control with generalized relays: A simple convex optimization approach

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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