Hierarchical Fuzzy-Adaptive Position Control of an Active Mass Damper for Enhanced Structural Vibration Suppression

Omer Saleem, Massimo Leonardo Filograno, Soltan Alharbi and Jamshed Iqbal ()
Additional contact information
Omer Saleem: Department of Electrical Engineering, National University of Computer and Emerging Sciences, Lahore 54770, Pakistan
Massimo Leonardo Filograno: Department of Electrical and Electronic Engineering, College of Engineering, University of Jeddah, Jeddah 23890, Saudi Arabia
Soltan Alharbi: Department of Electrical and Electronic Engineering, College of Engineering, University of Jeddah, Jeddah 23890, Saudi Arabia
Jamshed Iqbal: School of Digital and Physical Sciences, Faculty of Science and Engineering, University of Hull, Hull HU6 7RX, UK

Mathematics, 2025, vol. 13, issue 17, 1-23

Abstract: This paper presents the formulation and simulation-based validation of a novel hierarchical fuzzy-adaptive Proportional–Integral–Derivative (PID) control framework for a rectilinear active mass damper, designed to enhance vibration suppression in structural applications. The proposed scheme utilizes a Linear–Quadratic Regulator (LQR)-optimized PID controller as the baseline regulator. To address the limitations of this baseline PID controller under varying seismic excitations, an auxiliary fuzzy adaptation layer is integrated to adjust the state-weighting matrices of the LQR performance index dynamically. The online modification of the state weightages alters the Riccati equation’s solution, thereby updating the PID gains at each sampling instant. The fuzzy adaptive mechanism modulates the said weighting parameters as nonlinear functions of the classical displacement error and normalized acceleration. Normalized acceleration provides fast, scalable, and effective feedback for vibration mitigation in structural control using AMDs. By incorporating the system’s normalized acceleration into the adaptation scheme, the controller achieves improved self-tuning, allowing it to respond efficiently and effectively to changing conditions. The hierarchical design enables robust real-time PID gain adaptation while maintaining the controller’s asymptotic stability. The effectiveness of the proposed controller is validated through customized MATLAB/SIMULINK-based simulations. Results demonstrate that the proposed adaptive PID controller significantly outperforms the baseline PID controller in mitigating structural vibrations during seismic events, confirming its suitability for intelligent structural control applications.

Keywords: active mass damper; vibration suppression; adaptive PID control; LQR optimization; fuzzy adaptation; normalized acceleration (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/17/2816/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/17/2816/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:17:p:2816-:d:1740002

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().