Type-2 fuzzy logic framework for adaptive noise control in vibrating structures

N.  Yogeesh; N.  Raja; Asokan  Vasudevan; H. C.  Shashikumar; P. C.  Jayaprakasha

doi:10.59400/sv3478

Type-2 fuzzy logic framework for adaptive noise control in vibrating structures

N. Yogeesh INTI International University, Nilai 71800, Malaysia; Department of Mathematics, Government First Grade College, Tumkur 572102, India
N. Raja Sathyabama Institute of Science and Technology, Department of Visual Communication, Chennai 600119, India
Asokan Vasudevan INTI International University, Nilai 71800, Malaysia; Shinawatra University, 99 Moo 10, Bangtoey, Samkhok, Pathum Thani 12160, Thailand
H. C. Shashikumar Department of Mathematics, Government First Grade College, Tiptur 572201, India
P. C. Jayaprakasha Department of Mathematics, Government First Grade College for Women, Tumakuru 5720102, India

Article ID: 3478

Keywords: interval Type-2 fuzzy logic controller; active noise control; structural vibration; robustness to parameter drift; real-time DSP implementation; adaptive fuzzy control; footprint of uncertainty; convergence speed

Abstract

Active noise control (ANC) in vibrating structures often suffers performance degradation under uncertain excitation and parameter drift. This study introduces an interval Type-2 fuzzy logic controller (IT2 FLC) for adaptive ANC in multi-mode systems, explicitly modelling “uncertainty about uncertainty” via a footprint of uncertainty in the fuzzy rule base. A two-degree-of-freedom mass–spring–damper model is used to represent structural dynamics, and both broadband and tonal disturbances are simulated. The IT2 FLC adapts its membership-function bounds online based on error variance, yielding a robust control law that compensates for up to ±25% drift in mass and stiffness. Controller performance is evaluated in MATLAB/Simulink and on a dSPACE DS1104 rapid-prototyping platform interfaced with a physical beam rig. Compared to classical ANC methods such as least-mean-square filtering and H∞ control, as well as Type-1 fuzzy logic, the proposed interval Type-2 fuzzy logic controller (IT2 FLC) consistently demonstrates superior performance. It achieves up to 28 dB broadband attenuation under nominal conditions and sustains over 23 dB even under ±25% structural parameter drift, significantly outperforming other benchmarks. The controller exhibits fast convergence (≤ 0.35 s) and maintains real-time feasibility with ≤ 25% CPU utilization at a 1 kHz update rate on standard DSP hardware. A hardware-in-the-loop implementation on a physical cantilever beam rig confirms robustness and stability. These results validate the IT2 FLC as a computationally efficient, highly adaptive, and cost-effective solution for industrial noise control applications in uncertain environments.

Published

2025-06-15

How to Cite

Yogeesh, N., Raja, N., Vasudevan, A., Shashikumar, H. C., & Jayaprakasha, P. C. (2025). Type-2 fuzzy logic framework for adaptive noise control in vibrating structures. Sound & Vibration, 59(3), 3478. https://doi.org/10.59400/sv3478

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Vol. 59 No. 3 (2025)

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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