Technical Communique: LMI relaxations for robust stability of linear systems with saturating controls

Authors:
Didier Henrion;Sophie Tarbouriech
Affiliations:
LAAS-CNRS, 7 Avenue du Colonel Roche, 31 077 Toulouse, Cedex 4, France;LAAS-CNRS, 7 Avenue du Colonel Roche, 31 077 Toulouse, Cedex 4, France
Venue:
Automatica (Journal of IFAC)
Year:
1999

Citing 2
Cited 1

Robust and optimal control

Robust and optimal control
Control of Uncertain Systems with Bounded Inputs

Control of Uncertain Systems with Bounded Inputs

H∞ control of multiple model subject to actuator saturation: application to quarter-car suspension system

Analog Integrated Circuits and Signal Processing

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Abstract

A method is proposed for studying robust stability of uncertain linear systems subject to actuator saturation. It hinges upon successive LMI relaxations and therefore can readily be implemented using widely available numerical tools. The technique is illustrated on two examples and is shown to significantly improve previously published results.