Stability analysis for reset systems with input saturation

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jan 2007Publisher:IEEEJournal:2007 46th IEEE Conference on Decision and Control

Authors: Thomas Loquen; Sophie Tarbouriech; Christophe Prieur 0001;

doi: 10.1109/cdc.2007.4434436

Stability analysis for reset systems with input saturation

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Abstract

This paper is devoted to the stability analysis for a class of reset systems, such as those including a Clegg integrator or a FORE (first order reset element). The system under consideration is subject to input saturation. Hence, constructive conditions, allowing to characterize the region of stability of the saturated closed-loop system, are proposed based on the use of some suitable Lyapunov functions and a modified sector condition. LMI-based optimization schemes for maximizing the size of the region of stability are then derived. In presence of an additive disturbance, the problem of L2 stability is also addressed.

Related Organizations

Université de Toulouse
France
University of Toulouse
France

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