Approximation of distributed control laws using distributed electronic devices for vibration control

Michel Lenczner; Mahamane Kader; Zeljko Mrcarica

doi:10.1117/12.350091

4 June 1999 Approximation of distributed control laws using distributed electronic devices for vibration control

Michel Lenczner, Mahamane Kader, Zeljko Mrcarica

Proceedings Volume 3667, Smart Structures and Materials 1999: Mathematics and Control in Smart Structures; (1999) https://doi.org/10.1117/12.350091
Event: 1999 Symposium on Smart Structures and Materials, 1999, Newport Beach, CA, United States

Abstract

In this work the control of vibration in an elastic plate, by piezoelectric transducers, is considered. The model of the plate is that presented in ]2]. An approximation of the optimal controller by a derivative partial operator is given. It is based on a development in series of the Riccati operator with respect to the reverse of the stiffness. Its implementation in term of distributed analog electronic circuits, is developed. Numerical simulations, obtained by the coupling of Finite Elements code and a circuit simulator, Alecsis, are presented. To improve the preceding result an iterative algorithm of approximation of the optimal controller, being able to be implemented by an electronic circuit, is developed. The algorithm is inspired by the approach of [4].

Citation Download Citation

Michel Lenczner, Mahamane Kader, and Zeljko Mrcarica "Approximation of distributed control laws using distributed electronic devices for vibration control", Proc. SPIE 3667, Smart Structures and Materials 1999: Mathematics and Control in Smart Structures, (4 June 1999); https://doi.org/10.1117/12.350091

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