惯性作动器物理参数对振动主动控制性能的影响分析

Influence of Physical Parameters of Inertial Actuators on the Performance of Vibration Active Control

为研究惯性作动器(Inertial Actuators,IAs)物理参数对振动主动控制性能的影响,通过惯性作动器的动力学方程结合H2优化理论,以被控系统动能为目标函数,结合林纳德-奇帕特(Liénard–Chipart)稳定性准则计算得到惯性作动器主动控制的临界相对增益。进一步分析质量比、刚度比和阻尼比对相对增益和控制效果的影响。研究结果表明,惯性作动器的最佳相对增益与刚度比成反比,降低惯性作动器刚度可以提高相对增益并改善控制效果。此外,质量比的增加也有利于改善控制效果。最后,推导得到相对增益最佳时惯性作动器控制效果与其物理参数的关系式,可为惯性作动器参数设计提供理论指导。

The influence of physical parameters of inertial actuators(IAs)on the performance of vibration active con-trol is studied.The dynamic equations of the inertial actuators are combined with H2 optimization theory.With the kinetic en-ergy of the controlled system as the objective function,and combining with the Liénard–Chipart stability criterion,the criti-cal relative gain for active control of the inertial actuators is calculated.Furthermore,the effects of mass ratio,stiffness ratio and damping ratio on the relative gain and control effectiveness are analyzed.The research results indicate that the optimal relative gain of the inertial actuators is inversely proportional to the stiffness ratio.Reducing the stiffness of the inertial actua-tors can improve the relative gain and enhance the control effectiveness.In addition,increasing the mass ratio is also benefi-cial for improving the control effectiveness.Finally,the relationship between the control effectiveness of the inertial actua-tors and their physical parameters is derived for the optimal relative gain.This study provides a theoretical guidance for the design of inertial actuator parameters.