Geodesic
Shape optimization of piezoelectric sensors or actuators for the control of plates
ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 4, pp. 673-690

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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.

DOI : 10.1051/cocv:2005025
Classification : 49N35, 49Q10, 74P15, 90C47, 93B40, 93C20
Keywords: collocation, piezoelectric sensors/actuators, positive-real systems, topology optimization 
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     title = {Shape optimization of piezoelectric sensors or actuators for the control of plates},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {673--690},
     publisher = {EDP-Sciences},
     volume = {11},
     number = {4},
     year = {2005},
     doi = {10.1051/cocv:2005025},
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     zbl = {1081.49029},
     language = {en},
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Degryse, Emmanuel; Mottelet, Stéphane. Shape optimization of piezoelectric sensors or actuators for the control of plates. ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 4, pp. 673-690. doi: 10.1051/cocv:2005025

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