Control of modulated vibration using an enhanced adaptive filtering algorithm based on model-based approach

• Published in: Journal of sound and vibration Vol. 331; no. 18; pp. 4101 - 4114
• Main Authors: Kim, Byeongil, Washington, Gregory N., Singh, Rajendra
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 27-08-2012; Elsevier
• Subjects: Active control; Adaptive filters; Algorithms; Broadband; Control theory; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Mathematical models; Physics; Sliding mode control; Solid mechanics; Structural and continuum mechanics; Vibration; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Frequency modulation; Adaptive algorithm; Error estimation; Sliding mode; Adaptive system; Variable structure system; Adaptive filtering; Amplitude modulation; Modeling; Longitudinal vibration; Model predictive control; Uncertain system; Frequency band; Wide band; Active system; Feedback; Vibration control; Passband
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2012.04.007

Conventional adaptive filtering algorithms, typically limited to the control of single or multiple sinusoids, are not appropriate to control modulated vibrations, especially in the presence of rich side band structures. To overcome this deficiency, a new control algorithm is proposed that introduces a feedback loop with the model predictive sliding mode control (MPSMC) in the adaptive filtering system. Several amplitude and frequency modulation cases are first computationally studied, and conventional and proposed methods are comparatively evaluated in terms of estimation error, performance in time and frequency domains, stability, and uncertainty in the reference signal. To experimentally validate the proposed algorithm, an active strut (with longitudinal vibrations) is constructed. Overall, the proposed adaptive algorithm yields superior reductions at the main frequencies and at side bands; also, good attenuation is found on a broadband basis.
► A new adaptive filtering system is proposed with a feedback loop. ► The new algorithm introduces nonlinear and model-based controllers. ► Conventional and proposed methods are comparatively evaluated with modulated signals. ► An active strut is constructed to experimentally validate the proposed algorithm. ► The proposed algorithm yields superior reductions in broadband.