Abstract
For improving the performance of an electromagnetic isolation system with reasonable parameters and avoid the parameter tuning problem of a PID controller, an active control method is put forward based on equivalent stiffness and damping coefficient. In this paper, the range of equivalent stiffness coefficient and damping coefficient of the electromagnetic force are calculated based on the required range of dynamic performance indexes. According to the nonlinear expression between electromagnetic force and coil current and gap, the relationships between the coil current and equivalent stiffness coefficient and damping coefficient are established. Then, the equivalent stiffness coefficient and damping coefficient can be satisfied by the controlled current in different gaps for meeting the required dynamic performance indexes. For reducing the maximum overshoot and the number of oscillations of the system, the active control method with the piecewise equivalent stiffness and damping coefficient is proposed based on the piecewise control strategy to realize the variable control parameters of the isolation system. Simulation and experimental results verify that the control method based on the equivalent stiffness and damping coefficient can obtain the desired dynamic performance indexes and the proposed control method with the piecewise strategy can not only reduce the setting time of the system, but also ensure the stability of the system.
Highlights
Vibration, a ubiquitous physical phenomenon in the field of engineering and technology, has brought many inconveniences and hazards to daily life, scientific research, and production
The present study investigates an active control method based on equivalent stiffness and damping coefficient, which can be used for practical engineering application
The simulation result with the equivalent stiffness and the simulation result with the equivalent stiffness and damping coefficient are shown in Figure 4; it can be seen that the electromagnetic vibration isolation system is stable at 5.09 × 10−5 m, which is close to 0 m
Summary
A ubiquitous physical phenomenon in the field of engineering and technology, has brought many inconveniences and hazards to daily life, scientific research, and production. In comparison with passive isolation systems, active electromagnetic isolation systems can effectively solve these problems with controllable stiffness and damping coefficient to achieve dynamic performance indexes based on various control methods. The above intelligent tuning methods make the PID controller have good control performance, the intelligent algorithms are usually complex and time-consuming, which again limits their application. PID controllers can effectively control vibration based on experimental methods and intelligent tuning methods These aforementioned methods need to conduct many experiments or employ complex algorithms with computation burden and time. For these reasons, the present study investigates an active control method based on equivalent stiffness and damping coefficient, which can be used for practical engineering application. Simulations and experiments are implemented for verifying the effectiveness of the proposed active control method
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