H∞ optimization of an enhanced force feedback controller for mitigation of nonlinear vibrations

摘要：

　　In this paper,a nonlinear active damping strategy based on force feedback is proposed,where only the modal stiffness ratio of the system when the actuator is installed and removed is required to design an effective controller.Closed-form expressions are derived using the ?∞ optimization criterion wherein the optimal feedback gains are achieved to minimize the maximal response of the structure.The resonant vibration of a Duffing oscillator is considered to illustrate the proposed tuning of the optimal control gain and the harmonic balance method is employed to approximate the analytical solutions.It is shown that the amplitude of the resonance peaks does not change substantially when the weight of the nonlinearity increases,which means that the response of the coupled system is almost proportional to the forcing amplitude,as it would be the case for a linear system.

关键词： Force feedback ?∞ optimization Nonlinear vibrations Harmonic balance method Closed-form

作者: G.Zhao A.Paknejad G.Raze G.Kerschen C.Collette

作者单位: Precision Mechatronics Laboratory,BEAMS Department,Université Libre de Bruxelles,Brussels,Belgium Department of Aerospace and Mechanical Engineering,University of Liège,Liège,Belgium Precision Mechatronics Laboratory,BEAMS Department,Université Libre de Bruxelles,Brussels,Belgium;De

会议类型: 国际会议

会议名称: The 7th World Conference on Structural Control and Monitoring(7WCSCM)(第七届结构控制与监测世界大会)

会议地点: 青岛

会议语种:英文

页码: 2913-2918

在线出版日期: 2018-07-22（万方平台首次上网日期，不代表论文的发表时间）