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ℒ2-Stabilization of continuous-time linear systems with saturating actuators

✍ Scribed by E. B. Castelan; S. Tarbouriech; J. M. Gomes da Silva Jr; I. Queinnec

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
152 KB
Volume
16
Category
Article
ISSN
1049-8923

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✦ Synopsis

Abstract

This paper addresses the problem of controlling a linear system subject to actuator saturations and to ℒ︁~2~‐bounded disturbances. Linear matrix inequality (LMI) conditions are proposed to design a state feedback gain in order to satisfy the closed‐loop input‐to‐state stability (ISS) and the closed‐loop finite gain ℒ︁~2~ stability. By considering a quadratic candidate Lyapunov function, two particular tools are used to derive the LMI conditions: a modified sector condition, which encompasses the classical sector‐nonlinearity condition considered in some previous works, and Finsler's Lemma, which allows to derive stabilization conditions which are adapted to treat multiple objective control optimization problems in a potentially less conservative framework. Copyright © 2006 John Wiley & Sons, Ltd.

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