Shape optimization of piezoelectric sensors or actuators for the control of plates

Degryse, Emmanuel; Mottelet, Stéphane

ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 4, pp. 673-690.

This paper deals with a new method to control flexible structures by designing non-collocated sensors and actuators satisfying a pseudo-collocation criterion in the low-frequency domain. This technique is applied to a simply supported plate with a point force actuator and a piezoelectric sensor, for which we give some theoretical and numerical results. We also compute low-order controllers which stabilize pseudo-collocated systems and the closed-loop behavior show that this approach is very promising.

Classification : 49N35, 49Q10, 74P15, 90C47, 93B40, 93C20
Mots clés : collocation, piezoelectric sensors/actuators, positive-real systems, topology optimization

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