Abstract
A nonlinear magnetic suspension system is considered in this paper. A novel online algorithm based on analytical approach is presented to stabilize the suspended mass. The new algorithm employs a single analytical function to create the ball position and velocity profiles. The reference ball position is described by a series of time dependent exponential functions. Boundary conditions at both initial and final states are automatically satisfied. Moreover, feasible ball position and velocity profiles are ensured by evaluating one algorithm parameter (an exponential factor). The exponential factor is analytically computed by minimizing the peak of electrical power. This new algorithm is capable of generating the well-suited coil voltage that guarantees the stability of the system with a small closed-loop command. Gain Shechting method is used to obtain the closed-loop effort in order to track the analytical reference profiles. Compared to the prior magnetic suspension algorithms, the proposed analytical scheme is qualified to handle very large dispersions in initial ball position while satisfying the ball position and coil voltage constraints. Monte-Carlo simulations with change in initial ball position are presented. The simulation results demonstrated the great reliable performance of the proposed algorithm despite the wide range of initial ball position dispersions.
Highlights
Substantial reduction in friction that exists between moving surfaces can be achieved using magnetic sus– pension systems which improves the efficiency of these systems
1000 Monte-Carlo numerical simu– lations were implemented in order to perform the effec– tiveness of the proposed algorithm under wide range of initial ball position dispersions
A new analytical algorithm has been developed for the magnetic suspension system
Summary
Substantial reduction in friction that exists between moving surfaces can be achieved using magnetic sus– pension systems which improves the efficiency of these systems. The magnetic suspension system is greatly employed to consider the aircraft aerodynamic charac– teristics using the wind tunnel test. In [14], an active magnetic bearing mathematical model relying on L∞gain and PID controllers of an electric aircraft was presented. The results of the proposed controller were compared to PID controller and showed stability and performance improvements. Despite recent works consider numerical or optimal methods to stabilize the magnetic suspension system, some of them are too complicated to be implemented in a real time, while other prior studies cannot adequately handle wide dispersions of initial conditions. Since the proposed exponential function provides a congruent reference ball position with the actual profile, the reference coil voltage can guarantee stability of the system with small control effort. The proposed algorithm ensures a remarkable ball position response, zero percentage overshoot, excellent damping, and fast response
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