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

Emmanuel Degryse; Stéphane Mottelet

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 11, Issue: 4, page 673-690
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Degryse, Emmanuel, and Mottelet, Stéphane. "Shape optimization of piezoelectric sensors or actuators for the control of plates." ESAIM: Control, Optimisation and Calculus of Variations 11.4 (2010): 673-690. <http://eudml.org/doc/90782>.

@article{Degryse2010,
abstract = { 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. },
author = {Degryse, Emmanuel, Mottelet, Stéphane},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Collocation; piezoelectric sensors/actuators; positive-real systems; topology optimization.; collocation; topology optimization},
language = {eng},
month = {3},
number = {4},
pages = {673-690},
publisher = {EDP Sciences},
title = {Shape optimization of piezoelectric sensors or actuators for the control of plates},
url = {http://eudml.org/doc/90782},
volume = {11},
year = {2010},
}

TY - JOUR
AU - Degryse, Emmanuel
AU - Mottelet, Stéphane
TI - Shape optimization of piezoelectric sensors or actuators for the control of plates
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 11
IS - 4
SP - 673
EP - 690
AB - 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.
LA - eng
KW - Collocation; piezoelectric sensors/actuators; positive-real systems; topology optimization.; collocation; topology optimization
UR - http://eudml.org/doc/90782
ER -

References

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