## 1 Introduction
[PERSON] [18] integrated the differential magnetic suspension actuator and the spiral spring into the active-passive hybrid vibration isolation system. The spiral spring bears the load, and the magnetic suspension actuator performs the active control. A 9-24 dB control effect was achieved on the 5-15 Hz line spectrum, but the spiral spring was plastically deformed with stiffness changes, resulting in insufficient reliability. In addition, some scholars improved the performance of hybrid vibration isolation systems in conjunction with the active control algorithms [19; 20; 21]. Targeting the problem of the operating failure of the electromagnetic actuators in the case of strong disturbancesor shocks, [PERSON] [22] analyzed the output of an electromagnetic actuator and optimized the control algorithm of the input current signals, and the shock resistance improved effectively. [PERSON] [23] designed an integrated vibration isolator by combining an air spring and a magnetic suspension actuator and applying it to the vibration isolation system of a diesel generator set by combining the multifrequency narrow-band Fx-Newton time-frequency domain algorithm. However, the stator of the magnetic suspension actuator is prone to contact failure, and the air spring requires great dynamic stiffness of the rubber, resulting in a short reliability cycle of the system. [PERSON] [24] intensively studied the active vibration isolation of a nonlinear isolator with the elastic boundary in the broadband and proposed a new feedback control algorithm to control the input current of the actuator, but the broadband vibration transmissibility was obviously reduced. [PERSON] [25] designed a multi-objective particle swarm robust hybrid control algorithm based on adaptive filter compensation aiming at the influence of the nonlinear characteristics of the electromagnetic active suspension isolator on the performance of the control system. The results showed that the hybrid controller can restrain the control force within the unsaturated range and eliminate the influence of the nonlinear characteristics of the actuators on the active suspension, but the control algorithm is not universal. [PERSON] [26] used two opposite electromagnets to determine the instantaneous displacement of the mass of the isolator and provided current signals to the coil through adaptive feedback control. Such an arrangement is suitable for damping systems, but the structural stability is poor. In summary, the current work focused on increasing the load capacity, output and improving the impact resistance. This paper proposes a magnetorheological electromagnetic active-passive hybrid vibration isolation system that combines an electromagnetic active vibration isolator, rubber passive vibration isolator and magnetorheological damper in parallel. The electromagnetic actuator adopts a floating design with an output shaft designed with a sliding bearing that directly transfers the lateral force of the upper load to the housing. To reduce eddy current losses, both the mover yoke and the stator yoke were designed with radial grooves. Moreover, an ASFXLMS algorithm is proposed. A suppression factor is introduced based on the FXLMS algorithm to adjust the update of the control weight coefficient to limit the amplitude to within the actuator saturation region. The remainder of this paper is divided into five sections. Section 2 introduces the structure and design of the hybrid vibration isolation system. Section 3 carries out the design and analysis of the ASFXLMS algorithm. Section 4 conducts the experimental studies. Section 5 briefly concludes and discusses the paper. This paper provides a good hybrid isolation system for the realization of active and passive vibration isolation with a large excitation force and large load.