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Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2014

Hinfinity observer-based control for discrete-time one-sided Lipschitz systems with unknown inputs

Résumé

This paper investigates the problem of robust observer-based stabilization for a classof one-sided nonlinear discrete-time systems subjected to unknown inputs. We propose a simplesimultaneous state and input estimator. A nonlinear controller is then proposed to compensate for theeffects of unknown inputs and to ensure asymptotic stability in a closed loop. Several mathematicalartifacts are used to deduce stability conditions expressed in terms of linear matrix inequalities. Toshow high performances of the proposed technique, a relevant example is provided with comparisonsto recent results.
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Dates et versions

hal-01096657 , version 1 (17-12-2014)

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Mohamed Benallouch, Mohamed Boutayeb, Hieu Trinh. Hinfinity observer-based control for discrete-time one-sided Lipschitz systems with unknown inputs. SIAM Journal on Control and Optimization, 2014, 52 (6), pp.3751-3775. ⟨10.1137/130915273⟩. ⟨hal-01096657⟩
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