Stability analysis for linear systems with input backlash through sufficient LMI conditions |
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Authors: | Sophie Tarbouriech Isabelle Queinnec |
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Affiliation: | CNRS; LAAS; 7 avenue du Colonel Roche, F-31077 Toulouse, France Université de Toulouse; UPS, INSA, INP, ISAE; LAAS; F-31077 Toulouse, France |
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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. |
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Keywords: | Stability analysis Backlash Generalized sector conditions Equilibrium points LMI |
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