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Appl. Sci. 2017, 7(7), 750; doi:10.3390/app7070750

Enhanced Adaptive Filtering Algorithm Based on Sliding Mode Control for Active Vibration Rejection of Smart Beam Structures

1
School of Mechanical Engineering, Yeungnam University, 280, (Dae-dong) Daehak-ro, Gyeongsan-si, Gyeongsangbuk-do 38541, Korea
2
Department of Mechatronics Engineering, Incheon National University, (Songdo-dong) 119 Academy-ro, Yeonsu-gu, Incheon 22012, Korea
*
Author to whom correspondence should be addressed.
Academic Editor: César M. A. Vasques
Received: 3 July 2017 / Revised: 18 July 2017 / Accepted: 19 July 2017 / Published: 24 July 2017
(This article belongs to the Section Mechanical Engineering)

Abstract

This article investigates vibration rejection for a continuous smart structure using piezoelectric bimorph patches. Such a structure has inherent nonlinearities, such as hysteresis and creep, and the whole system may experience unexpected disturbances, uncertainties, and noise from external sources. Thus, it is very important to design the active control scheme carefully with adaptive filtering systems to deal with these conditions. An advanced adaptive filtering algorithm was developed based on the conventional least mean squares (LMS) method and sliding mode control for the active vibration rejection system. The sliding mode controller is applied to the standard LMS algorithm to overcome problems with misadjustment and excess error in an optimal manner. A numerical analysis and laboratory experiment show that the technique can significantly attenuate the vibration of the smart structure at different levels and broadband frequency spectra. In addition, unidentified impedance is chosen to change the distribution of the mass, and the robustness and the adaptivity of the proposed approach are verified. The experimental results show that the method can isolate impulse-type vibrations of at least 2.8 dB, even with the adjusted mass arrangement. View Full-Text
Keywords: active vibration rejection; adaptive filtering system; filtered-X LMS; sliding mode control; least mean squares algorithm; smart structures active vibration rejection; adaptive filtering system; filtered-X LMS; sliding mode control; least mean squares algorithm; smart structures
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Kim, B.; Yoon, J.-Y. Enhanced Adaptive Filtering Algorithm Based on Sliding Mode Control for Active Vibration Rejection of Smart Beam Structures. Appl. Sci. 2017, 7, 750.

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