Title: Vibration control design for nonlinear MIMO wing-plate systems based on operator theory

Authors: Guang Jin

Addresses: Graduate School of Engineering, Tokyo University of Agriculture and Technology, 2-24-16 Nakacho, Koganei, Tokyo, Japan

Abstract: This paper studies the operator-based nonlinear vibration control design for multi-input multi-output (MIMO) wing-plate systems. Firstly, considering the nonlinear system with coupling effects from the piezoelectric actuator's (PEA's) moments, the condition of boundedness of the coupling effects is given and the bounded input bounded output (BIBO) stability of the system is guaranteed. Secondly, for considering the nonlinear system with the perturbation, hysteresis nonlinearity, and coupling effects, the internal model control mechanism is constructed to improve the vibration control performance. Finally, the effectiveness of the designed nonlinear control system is confirmed by the numerical simulation and experiment, respectively.

Keywords: MIMO systems; BIBO stability; piezoelectric actuator; PEA; operator theory; robust right coprime factorisation approach; RRCFA.

DOI: 10.1504/IJAMECHS.2023.134817

International Journal of Advanced Mechatronic Systems, 2023 Vol.10 No.4, pp.174 - 181

Received: 01 Feb 2023
Accepted: 30 May 2023
Published online: 13 Nov 2023 *

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