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

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1 Author(s)
Niculescu, S.-I. ; HEUDIASYC, Univ. de Technol. de Compiegne, France

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 converted into a linear matrix inequality (LMI) optimization problem and we give a suboptimal bound on the delay

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Automatic Control, IEEE Transactions on  (Volume:43 ,  Issue: 5 )