H∞ Control-Based Optimization Design for Active and Passive Dynamic Vibration Absorber

Li, Bin, Ouyang, Huajiang ORCID: 0000-0003-0312-0326, Zhang, Jia-Fan, Jiang, Ya-Jun and Hu, Zhi-Gang
(2023) H∞ Control-Based Optimization Design for Active and Passive Dynamic Vibration Absorber. Journal of Vibration Engineering and Technologies.

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Purpose: This paper is concerned with the H∞ optimization design of passive and active dynamic vibration absorbers (DVAs) attached to an undamped or damped primary system. Methods: The proposed optimization method is an efficient non-smooth H∞-synthesis algorithm that is utilized to solve structured H∞-synthesis in control engineering. This method can conveniently achieve the optimal design for the amplitude magnification factors of both the absolute and the relative displacements of a DVA using the proposed dual H∞ design, and implement co-design of H∞-optimal proportional-integral-differential controllers and passive parameters of an active DVA. Results: Two active DVAs and two variant passive DVAs reported in the literature are taken as examples for design improvement. The optimization results indicate that the proposed method has significant advantages over the conventional fixed-points-theory-based methods and many numerical global optimization methods. Conclusions: The proposed H∞ optimization design yields much better vibration suppression result for proportional-integral-differential control based active DVAs and variant passive DVAs with complicated structures. It is directly based on their equations of motion in state-space forms, and explicit formulations of various amplitude magnification factors, such as those on the absolute and the relative displacements and active force, need not be derived in the MATLAB environment. A possible situation of occurrence of large amplitude of the relative displacement in DVAs rarely considered in the literature can be handled by using the proposed dual H∞ design.

Item Type: Article
Uncontrolled Keywords: Dynamic vibration absorber, H-infinity optimization, Inerter, Negative stiffness, Structured H-infinity-synthesis, H-infinity- optimal PID controller
Divisions: Faculty of Science and Engineering > School of Engineering
Depositing User: Symplectic Admin
Date Deposited: 28 Feb 2023 08:06
Last Modified: 22 Mar 2023 12:47
DOI: 10.1007/s42417-023-00875-y
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3168622