Discrete-time sliding mode for building structure bidirectional active vibration control

Paul, Satyam; Yu, Wen; Li, Xiaoou

Abstract

© The Author(s) 2019. In terms of vibrations along bidirectional earthquake forces, several problems are faced when modelling and controlling the structure of a building, such as lateral-torsional vibration, uncertainties surrounding the rigidity and the difficulty of estimating damping forces. In this paper, we use a fuzzy logic model to identify and compensate the uncertainty which does not require an exact model of the building structure. To attenuate bidirectional vibration, a novel discrete-time sliding mode control is proposed. This sliding mode control has time-varying gain and is combined with fuzzy sliding mode control in order to reduce the chattering of the sliding mode control. We prove that the closed-loop system is uniformly stable using Lyapunov stability analysis. We compare our fuzzy sliding mode control with the traditional controllers: proportional–integral–derivative and sliding mode control. Experimental results show significant vibration attenuation with our fuzzy sliding mode control and horizontal-torsional actuators. The proposed control system is the most efficient at mitigating bidirectional and torsional vibrations.

• Journal Article Type: Article
• Acceptance Date: Apr 23, 2018
• Online Publication Date: Apr 23, 2018
• Publication Date: Jan 1, 2019
• Deposit Date: Mar 5, 2020
• Journal: Transactions of the Institute of Measurement and Control
• Print ISSN: 0142-3312
• Electronic ISSN: 1477-0369
• Publisher: SAGE Publications
• Peer Reviewed: Peer Reviewed
• Volume: 41
• Issue: 2
• Pages: 433-446
• DOI: https://doi.org/10.1177/0142331218764581
• Keywords: Instrumentation
• Public URL: https://uwe-repository.worktribe.com/output/5612504