Design of Active Vibration Isolation Controller with Reduced Actuator Force Based on Robust \({\mathbf{\mathcal{H}}}_{\infty }\) Control Theory

This study proposed a dual objective controller design method based on robust \({\mathcal{H}}_{\infty }\) control theory to achieve effective vibration isolation performance while fully utilizing the force capacity of actuators in active vibration isolation scenarios with heavy loads. A state-space dynamic model was established, and a mixed-sensitivity control model considering both performance and actuator constraints was developed. The design criteria for the weighting functions in the mixed-sensitivity control model were provided, allowing the controller to be adjusted for specific situations and needs. Simulation results demonstrated that the proposed controller significantly reduced actuator force while achieving the same level of vibration isolation performance as the classical skyhook method. This cost-effective approach can enhance effectiveness in various active vibration isolation systems without the need for higher-force actuators, thus reducing system costs.