Technical communique: Stability analysis for linear systems with input backlash through sufficient LMI conditions

Authors:
Sophie Tarbouriech;Christophe Prieur;Isabelle Queinnec
Affiliations:
-;-;-
Venue:
Automatica (Journal of IFAC)
Year:
2010

Citing 9
Cited 2

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Brief paper: Input-output stability of systems with backlash

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Decentralized adaptive stabilization in the presence of unknown backlash-like hysteresis

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Optimal and nonlinear decoupling control of systems with sandwiched backlash

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Brief paper: Ultimate bounded stability and stabilization of linear systems interconnected with generalized saturated functions

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Adaptive fuzzy output feedback control of MIMO nonlinear uncertain systems with time-varying delays and unknown backlash-like hysteresis

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Abstract

This paper addresses the problem of stability analysis for a given class of nonlinear systems resulting from the connection of a linear system with an isolated backlash operator. Constructive conditions based on LMIs to ensure closed-loop stability are proposed by using some suitable Lyapunov functionals with quadratic terms and Lure type terms, and generalized sector conditions. Additionally, the boundary of the associated set of all the admissible equilibrium points is precisely defined.