单质体非线性系统基于趋近律的谐振控制同步分析

基于单质体双激振源非线性振动机械的机电耦合动力学模型，构造了双激振电机的转速差、相位差状态空间方程，提出了双激振电机基于滑模趋近律的谐振控制同步策略.针对该类非线性振动机械的谐振同步特性——对外干扰的敏感性，引入卡尔曼滤波器，建立了双激振电机基于卡尔曼滤波器的滑模趋近律谐振同步控制方案.通过仿真实验数据分析，验证了文中建立的谐振同步控制策略对该类振动机械同步运动控制的有效性，可使双激振电机获得满意的谐振同步运动效果.

Reaching-Law-based Controlled Synchronization Strategy in Harmonic Vibration of Single-Mass Nonlinear Systems

Based on the electromechanical coupling dynamic model of the single-mass nonlinear vibration machinery, state-space equations of the speed difference and phase difference were constructed for the double driven motors. A controlled synchronization strategy based on the sliding mode reaching law was designed for harmonic vibration of the double driven motors. The Kalman filter was introduced into the strategy to cope with the sensibility of the harmonic vibration synchronization of the nonlinear vibration machines. The simulation analysis results verified the validity of the strategy, which shows that the double driven motors can synchronize the machinery in harmonic vibration satisfactorily.