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TECHNICAL PAPERS

Pole Placement Techniques for Active Vibration Control of Smart Structures: A Feasibility Study

[+] Author and Article Information
Rajiv Kumar1

Department of Industrial Engineering,  National Institute of Technology, Jalandhar 144011, Punjab, Indiarajivsharma1972@yahoo.com

Moinuddin Khan

 National Institute of Technology, Jalandhar 144011, Punjab, India

1

Corresponding author

J. Vib. Acoust 129(5), 601-615 (Apr 24, 2007) (15 pages) doi:10.1115/1.2748474 History: Received August 04, 2006; Revised April 24, 2007

It is well known that there is degradation in the performance of a fixed parameter controller when the system parameters are subjected to a change. Conventional controllers can become even unstable, with these parametric uncertainties. This problem can be avoided by using robust and adaptive control design techniques. However, to obtain robust performance, it is desirable that the closed-loop poles of the perturbed structural system remain at prespecified locations for a range of system parameters. With the aim to obtain robust performance by manipulating the closed loop poles of the perturbed system, feasibility of the pole placement based controller design techniques is checked for active vibration control applications. The controllers based on the adaptive and robust pole placement method are implemented on smart structures. It was observed that the adaptive pole placement controllers are noise tolerant, but require high actuator voltages to maintain stability. However, robust pole placement controllers require comparatively small amplitude of control voltage to maintain stability, but are noise sensitive. It was realized that by using these techniques, robust stability and performance can be obtained for a moderate range of parametric uncertainties. However, the position of closed-loop poles should be judiciously chosen for both the control design strategies to maintain stability.

Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic diagram of the inverted L structure

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Figure 2

Discrete and continuous time poles of the structure I at different tip loads

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Figure 3

Performance of nonadaptive controller at different tip loads

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Figure 4

Adaptive feedback control

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Figure 5

Application of dead zone criterion for parameter adaptation

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Figure 6

Effect of different positions of closed-loop poles on the performance of adaptive controller for nominal system (0g tip load)

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Figure 7

Effect of different positions of closed-loop poles on the performance of adaptive controller at 15g tip load

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Figure 8

Effect of different positions of closed-loop poles on the performance (time domain) of adaptive controller at different tip loads

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Figure 9

Effect of different positions of closed-loop poles on the performance (frequency domain) of adaptive controller at different tip loads

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Figure 10

Flow chart for implementing the robust pole placement control

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Figure 11

Schematic of experimental setup

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Figure 12

Photograph of the experimental setup

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Figure 13

Photograph of inverted L structure

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Figure 14

Comparison of performance of adaptive and robust controller in noise free environment at 15g tip load (simulations)

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Figure 15

Nature of control signal for robust pole placement control

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Figure 16

Comparison of performance of adaptive and robust controller at 15g tip load without modeling the measurement noise (experimental)

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Figure 17

Comparison of performance of adaptive controller and robust controller at 15g tip load at high signal to noise (S/N) ratio (simulations)

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Figure 18

Comparison of performance of adaptive controller and robust controller at 15g tip load with modeling the measurement noise (experimental)

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