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Adaptive filtering algorithm for active vibration control in piezoelectric smart structures.
Hussain Akbar1, Zhiyuan Gao1, Xiaotian Li1
1School of Mechatronics Engineering and Automation, Shanghai University, Shanghai 200444, China.
The Review of Scientific Instruments
|June 2, 2026
Summary
Active Vibration Control (AVC) effectively suppresses low-frequency vibrations using adaptive filtering algorithms like LMS and FxLMS in piezoelectric smart structures. Further research is needed for real-time integration and scalability.
Area of Science:
- Engineering
- Materials Science
- Control Systems
Background:
- Active Vibration Control (AVC) is crucial for modern structures, utilizing destructive interference to mitigate low-frequency vibrations.
- Piezoelectric smart structures increasingly employ AVC, necessitating advanced adaptive algorithms for optimal performance.
- Adaptive algorithms enhance AVC by improving convergence, stability, and precision in response to dynamic vibration conditions.
Purpose of the Study:
- To systematically review adaptive filtering algorithms for Active Vibration Control in piezoelectric smart structures.
- To analyze the mathematical formulations, performance, and applications of Least Mean Squares (LMS), Filtered-x LMS (FxLMS), and Variable Step-size FxLMS (VSS-FxLMS) algorithms.
- To identify current challenges and future research directions in AVC system design.
Main Methods:
- Systematic literature review of adaptive filtering algorithms (LMS, FxLMS, VSS-FxLMS).
- Analysis of mathematical formulations and performance comparisons.
- Numerical simulation to evaluate convergence and vibration suppression.
Main Results:
- The Variable Step-size FxLMS (VSS-FxLMS) algorithm shows enhanced robustness in vibration suppression.
- Existing studies show limited comprehensive comparisons across diverse applications.
- Numerical simulations confirm the convergence and effectiveness of the reviewed algorithms.
Conclusions:
- Adaptive algorithms are essential for advancing AVC in piezoelectric smart structures.
- Further research is required for real-time system integration, multimodal vibration reduction, and scalability.
- Hybrid algorithms combining features of existing methods hold promise for future AVC systems.
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