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April 23, 2026Sustainability0 citationsOpen Access

Adaptive Gyroscopic Feedback-Based Foundation Control for Sustainable and Automated Torsional Seismic Mitigation in Buildings

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SSSeyi StephenUniversity of JohannesburgJBJummai BelloCAClinton Aigbavboa

Key Points

  • This research aims to develop a system that mitigates seismic-induced torsional response in building foundations.
  • Developed a single-degree-of-freedom torsional foundation model
  • Utilized MEMS gyroscopes for real-time angular velocity sensing
  • Implemented an adaptive Linear Quadratic Regulator for damping modulation
  • Achieved a 69% reduction in total vibration energy
  • Reduced peak angular displacement by 47.6%
  • Decreased RMS angular velocity by 39.5% compared to uncontrolled foundations

Abstract

Seismic-induced torsional response remains a significant barrier to achieving resilient and sustainable building foundations, as traditional passive isolation systems often fail to regulate rotational motion effectively. This study examines an adaptive gyroscopic feedback-based foundation control system designed to provide automated torsional seismic mitigation. The proposed system integrates real-time angular velocity sensing using MEMS gyroscopes, Kalman filter state estimation, and an adaptive Linear Quadratic Regulator to modulate damping in response to changing ground motion. A single-degree-of-freedom torsional foundation model was developed and evaluated in GNU Octave 8.4.0/MATLAB R2024a Simulink using the recorded El Centro 1940 NS earthquake input. The adaptive controller achieved notable improvements, reducing total vibration energy by 69%, peak angular displacement by 47.6%, and RMS angular velocity by 39.5% relative to the uncontrolled case, while keeping control energy below 19% of the seismic input. These results demonstrate that gyroscopic feedback enhances damping, limits torsional resonance, and stabilises foundation behaviour under actual earthquake excitation. The system’s low energy requirement, compatibility with embedded hardware, and automated response characteristics underscore its potential for integration into sustainable and intelligent foundation designs. While results are demonstrated using the El Centro 1940 record as a benchmark, broader generalisation will be established through multi-record suites and uncertainty quantification in future work. The study highlights a feasible pathway for advancing automated seismic protection in buildings through active, sensor-driven torsional control.

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Cite This Study

Stephen et al. (2026) studied this question.

synapsesocial.com/papers/69e9b89b85696592c86ebc95https://doi.org/10.3390/su18084120
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