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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 1998

H∞ memoryless control with an α-stability constraint for time-delay systems An LMI approach

Résumé

This paper focuses on the design of H∞ memoryless state feedback controllers satisfying some α-stability constraints on the closed-loop poles for a class of linear systems with delayed state, subject to disturbance inputs. A sufficient condition for feasibility is derived in terms of linear matrix inequalities. Furthermore, we also consider a particular optimization problem the maximal bound allowed on time-delay such that the prescribed level on disturbance attenuation and the α-stability constraints are still preserved. This problem is conversed into a linear matrix inequality (LMI) optimization problem and we give a suboptimal bound on the delay.
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Dates et versions

hal-02298986 , version 1 (27-09-2019)

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Silviu-Iulian Niculescu. H∞ memoryless control with an α-stability constraint for time-delay systems An LMI approach. IEEE Transactions on Automatic Control, 1998, 43 (5), pp.739-743. ⟨10.1109/9.668850⟩. ⟨hal-02298986⟩
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