Spatial Control of Vibration - Theory and Experiments

Moheimani, S. O. Reza; Halim, Dunant; Fleming, Andrew J.

doi:10.1142/9789812794284

Cited by 53 publications

(53 citation statements)

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“…1, where collocated piezoelectric sensor/actuator pairs are bonded to a flexible structure. It is well-known [14], [24]- [27] that the multivariable transfer function matrix of this system can be expressed as (1) where is an vector, and . In practice, however, the integer is finite, but possibly a very large number which represents the number of modes that sufficiently describe the elastic properties of the structure under excitation [28], [29].…”

Section: Voltage-driven Piezoelectric Actuatorsmentioning

confidence: 99%

“…8) we can make the following simplification and set and [24], [38]. The matrices ( , and ) are then used in (22)- (24) to obtain the charge driven state space equations for the plant.…”

Section: Structure Of the State-space Modelmentioning

confidence: 99%

“…The reason for this can be explained by examining the first three vibrational mode shapes of a cantilever beam in Fig. 15 [24]. For an actuator to have maximum authority over a given mode it must be placed at the location where the curvature 5 is greatest for that particular vibrational mode [38].…”

Section: System Identificationmentioning

confidence: 99%

See 2 more Smart Citations

Resonant control of structural vibration using charge-driven piezoelectric actuators

Moheimani

Vautier

2004

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)

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Abstract-Driving piezoelectric actuators by charge, or current rather than voltage is known to significantly reduce the hysteretic nature of these actuators. Although this feature of piezoelectric transducers has been known to the researchers for some time, still voltage amplifiers are being used as the main driving mechanism for piezoelectric devices. This is due to the perceived difficulty in building charge/current amplifiers capable of driving highly capacitive loads such as piezoelectric actuators. Recently, a new charge amplifier has been proposed which is ideal for driving piezoelectric loads used in applications such as active damping of vibration. Consequently, it is now possible to effectively, and accurately control the charge deposited on the electrodes of a piezoelectric transducer, and thereby avoid hysteresis altogether. This paper further investigates properties of piezoelectric transducers driven by charge sources when used with resonant controllers for structural vibration control applications. The paper reports experimental results of a multivariable resonant controller implemented on a piezoelectric laminate cantilever beam.

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Section: Voltage-driven Piezoelectric Actuatorsmentioning

confidence: 99%

“…8) we can make the following simplification and set and [24], [38]. The matrices ( , and ) are then used in (22)- (24) to obtain the charge driven state space equations for the plant.…”

Section: Structure Of the State-space Modelmentioning

confidence: 99%

See 1 more Smart Citation

Resonant control of structural vibration using charge-driven piezoelectric actuators

Moheimani

Vautier

2004

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)

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“…In general, dynamics of flexible structures are characterized by partial differential equations, [1], [2], and [10]. Therefore, they posses an infinite number of lightly damped resonant modes.…”

Section: Introductionmentioning

confidence: 99%

A Negative Imaginary Approach to Modeling and Control of a Collocated Structure

Bhikkaji

Moheimani

Petersen

2012

IEEE/ASME Trans. Mechatron.

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140

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“…A spatially weighted objective can be used to target specific regions that are of importance, where sound pressure reduction is desired. Some researchers have proposed spatial control methods based on optimal control frameworks [8], [9], [10]. Spatially weighted objectives were incorporated in control design to target certain regions in spatially distributed systems, such as certain spatial regions in vibrating structures.…”

Section: Introductionmentioning

confidence: 99%

Active control of structural sound radiation using a spatial control method with multiple structural sensors

Halim

Cazzolato

Proceedings of the 44th IEEE Conference on Decision and Control

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Abstract-This paper introduces a method to control structural sound radiation using multiple structural sensors. Tonal radiation from a vibrating arbitrary structure is considered in this paper. Based on the estimation of the vibration profile of a noise radiating structure, spatial signals that represents radiated pressure field can be generated. These spatial signals can also be spatially weighted to control radiated noise at some far-field regions more than at others. Numerical studies on a simply-supported plate were performed which demonstrate the ability of the proposed method to control sound radiation that is spatially weighted over certain regions in the far-field.

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Spatial Control of Vibration - Theory and Experiments

Cited by 53 publications

References 0 publications

Resonant control of structural vibration using charge-driven piezoelectric actuators

Resonant control of structural vibration using charge-driven piezoelectric actuators

A Negative Imaginary Approach to Modeling and Control of a Collocated Structure

Active control of structural sound radiation using a spatial control method with multiple structural sensors

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