Experiments on spatial H2 control for vibration suppression of a piezoelectric laminate beam

Dunant Halim; S. O. Reza Moheimani

Experiments on spatial H₂ control for vibration suppression of a piezoelectric laminate beam

Dunant Halim, S. O. Reza Moheimani

Research output: Journal Publication › Conference article › peer-review

2 Citations (Scopus)

Abstract

The aim of this paper is to design and experimentally evaluate the performance of a feedback controller for vibration suppression of a flexible beam. The controller is designed to minimize the spatial H₂ norm of the closed-loop system to ensure average reduction of vibration throughout the entire structure. In this work, the controller is designed to suppress the vibrations of the first six bending modes of the beam using a collocated piezoelectric actuator-sensor pair attached to the beam. Feedthrough terms are incorporated into the flexible-structure model to correct the locations of the in-bandwidth zeros. It is shown that the spatial H₂ control has an advantage over the pointwise H₂ control in minimizing the vibration of the entire structure. This control design methodology can be applied to more general structural vibration suppression problems.

Original language	English
Pages (from-to)	3860-3865
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	4
Publication status	Published - 2001
Externally published	Yes
Event	40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States Duration: 4 Dec 2001 → 7 Dec 2001

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

Cite this

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title = "Experiments on spatial H2 control for vibration suppression of a piezoelectric laminate beam",

abstract = "The aim of this paper is to design and experimentally evaluate the performance of a feedback controller for vibration suppression of a flexible beam. The controller is designed to minimize the spatial H2 norm of the closed-loop system to ensure average reduction of vibration throughout the entire structure. In this work, the controller is designed to suppress the vibrations of the first six bending modes of the beam using a collocated piezoelectric actuator-sensor pair attached to the beam. Feedthrough terms are incorporated into the flexible-structure model to correct the locations of the in-bandwidth zeros. It is shown that the spatial H2 control has an advantage over the pointwise H2 control in minimizing the vibration of the entire structure. This control design methodology can be applied to more general structural vibration suppression problems.",

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AU - Halim, Dunant

AU - Reza Moheimani, S. O.

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N2 - The aim of this paper is to design and experimentally evaluate the performance of a feedback controller for vibration suppression of a flexible beam. The controller is designed to minimize the spatial H2 norm of the closed-loop system to ensure average reduction of vibration throughout the entire structure. In this work, the controller is designed to suppress the vibrations of the first six bending modes of the beam using a collocated piezoelectric actuator-sensor pair attached to the beam. Feedthrough terms are incorporated into the flexible-structure model to correct the locations of the in-bandwidth zeros. It is shown that the spatial H2 control has an advantage over the pointwise H2 control in minimizing the vibration of the entire structure. This control design methodology can be applied to more general structural vibration suppression problems.

AB - The aim of this paper is to design and experimentally evaluate the performance of a feedback controller for vibration suppression of a flexible beam. The controller is designed to minimize the spatial H2 norm of the closed-loop system to ensure average reduction of vibration throughout the entire structure. In this work, the controller is designed to suppress the vibrations of the first six bending modes of the beam using a collocated piezoelectric actuator-sensor pair attached to the beam. Feedthrough terms are incorporated into the flexible-structure model to correct the locations of the in-bandwidth zeros. It is shown that the spatial H2 control has an advantage over the pointwise H2 control in minimizing the vibration of the entire structure. This control design methodology can be applied to more general structural vibration suppression problems.

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M3 - Conference article

AN - SCOPUS:0035711192

SN - 0191-2216

VL - 4

SP - 3860

EP - 3865

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - 40th IEEE Conference on Decision and Control (CDC)

Y2 - 4 December 2001 through 7 December 2001

ER -

Experiments on spatial H₂ control for vibration suppression of a piezoelectric laminate beam

Abstract

ASJC Scopus subject areas

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