Active suppression of multi-frequency rotor vibration using double auto-coupled sliding mode control

This work proposes a double auto-coupling sliding mode control method for multi-frequency rotor vibration suppression. The approach aims to mitigate multi-frequency vibrations encountered by rotating machinery under operational conditions. Expanding upon the conventional PD control framework, this approach integrates second-order differential elements derived from sliding mode control theory. The enhanced algorithm incorporates dual auto-coupling tuning mechanisms within the control architecture, thereby generating more precise control signals. The control system with an electromagnetic actuator (EA) enables accurate monitoring and control of rotor vibration signals. Initially, a rotor-bearing-EA model is established to analyze factors such as imbalance, misalignment, and friction during rotor rotation. Subsequently, the rotor system signal is extracted using a notch filter to capture frequencies of one or two times for real-time data collection. Both PD strategies and double auto-coupling strategies based on sliding mode control are employed for simulations and experiments. The findings indicate that this control strategy accurately outputs signals in real time, enhancing the precision and robustness of the shaft’s position after vibrations, and effectively mitigating significant chattering issues arising from sliding within the control algorithm during the control process.