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Research Papers

Active Vibration Control of Beams by Combining Precompressed Layer Damping and ACLD Treatment: Performance Comparison of Various Robust Control Techniques

[+] Author and Article Information
Rajiv Kumar

Associate Professor Department of Industrial and Production Engineering,  National Institute of Technology, Jalandhar (Punjab), Indiarajivsharma1972@yahoo.com

J. Vib. Acoust 134(2), 021015 (Jan 26, 2012) (16 pages) doi:10.1115/1.4004997 History: Received September 18, 2009; Revised July 28, 2011; Published January 26, 2012; Online January 26, 2012

It is a well known fact that system parameters of the flexible structures keep on changing due to several reasons. Ordinary controllers lose their effectiveness in changed situations and do not guarantee the stability of the closed loop system. However, controllers designed based on robust control theory not only maintain the closed loop stability of the perturbed system with a large variation in system parameters but also maintain the best performance. H loop shaping controller is designed and implemented experimentally on a smart flexible beam treated with precompressed layer damping and ACLD treatment. It outperforms linear quadratic Gaussian and standard H controller both in terms of robust stability and robust performance. Relative merits and demerits of the μ-synthesis based controller are also discussed. Afterwards, these controllers were digitized at certain sampling frequencies and applied to the experimental flexible structure. Certain time domain parameters of the closed loop system discuss the relative superiority of these controllers which otherwise cannot be captured using frequency domain results alone.

Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 12

Frequency response function of nominal and perturbed system with position feedback and different robust controllers

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Figure 13

Frequency domain representation of various robust controllers

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Figure 14

Time domain performance comparison of the nominal closed loop system with various controllers (output response)

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Figure 15

Time domain performance comparison of the nominal closed loop system with various controllers (applied input)

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Figure 16

Frequency domain comparison of the nominal closed loop system with various controllers at 600 Hz

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Figure 17

Comparison of performance by various controllers digitized at 600 Hz (simulation and experimental)

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Figure 1

Schematic view of the clamped beam with variable boundary conditions

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Figure 2

Frequency domain comparison of identified models with and without using feed through term

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Figure 3

LFT representation for a single mode

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Figure 4

Input/output block diagram of the multiple mode flexible structure along with a controller

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Figure 5

Standard M−Δ configuration

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Figure 6

Standard H∞ configuration

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Figure 7

Mixed sensitivity configuration

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Figure 8

One degree of freedom LSDP consideration

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Figure 9

Comparison of frequency response functions obtained from FEM analysis and from experimental data

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Figure 10

Frequency response function of nominal open and closed loop system with LQG and different robust controllers

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Figure 11

Frequency response function of perturbed open and closed loop system with different robust controllers

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