LQR control of a complex two-stage magnetic suspension active precise isolation system based on the genetic algorithm

The active-passive hybrid vibration isolation technology is the hotspot of precise vibration isolation, which can overcome the defects of passive vibration isolation technology such as the poor vibration isolation performance in low and resonant frequencies. Compared with other active vibration isolation technologies, magnetic suspension isolation technology has shown useful characteristics, such as wide frequency response range, fast response, high reliability, and the electromagnetic force adjusted easily by changing controller's parameters on-line. A magnetic suspension vibrator was proposed for an existing complex two-stage passive isolation system to form a precise active system. The characteristics and capacity of the isolator were studied theoretically. The dynamical equations and state equations of the active system were built. An LQR control model of the active vibration isolation based on the minimization of isolation table acceleration response was proposed. The genetic algorithm was used to optimize the Q and R matrices of the LQR model. The control model was simulated. The simulation results show that the active system has much better performance in vibration isolation. © 2016, Editorial Office of Journal of Vibration and Shock. All right reserved.