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Local stabilization of discrete-time linear systems with saturating controls: an LMI-based approach

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2 Author(s)
da Silva, J.M.G. ; Dept. of Electr. Eng., Univ. Federal do Rio Grande do Sul, Porto Alegre, Brazil ; Tarbouriech, S.

Deals with the problem of local stabilization of linear discrete-time systems subject to control saturation. A linear matrix inequalities-based framework is proposed in order to compute a saturating state feedback that stabilizes the system with respect to a given set of admissible initial states and, in addition, guarantees some dynamical performances when the system operates in the zone of linear behavior (i.e., when the controls are not saturated)

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Automatic Control, IEEE Transactions on  (Volume:46 ,  Issue: 1 )