scholarly journals Energy-Based Controller Design of Stochastic Magnetic Levitation System

2017 ◽  
Vol 2017 ◽  
pp. 1-6 ◽  
Author(s):  
Weiwei Sun ◽  
Kaili Wang ◽  
Congcong Nie ◽  
Xuejun Xie
Keyword(s):  
Hamiltonian Structure ◽  
Controller Design ◽  
Magnetic Levitation ◽  
Lyapunov Theory ◽  
Feedback Signal ◽  
Control Law ◽  
Stochastic Disturbance ◽  
Levitation System ◽  
Magnetic Levitation System ◽  
Balance Relation

This paper investigates the control problem of magnetic levitation system, in which velocity feedback signal is influenced by stochastic disturbance. Firstly, single-degree-freedom magnetic levitation is regarded as an energy-transform action device. From the view of energy-balance relation, the magnetic levitation system is transformed into port-controlled Hamiltonian system model. Next, based on the Hamiltonian structure, the control law of magnetic levitation system is designed by applying Lyapunov theory. Finally, the simulation verifies the correctness of the proposed results.

Backstepping Based Adaptive Control of Magnetic Levitation System

2013 ◽  
Vol 341-342 ◽  
pp. 945-948 ◽  
Author(s):  
Wei Zhou ◽  
Bao Bin Liu
Keyword(s):  
Parameter Uncertainty ◽  
Closed Loop ◽  
Controller Design ◽  
Magnetic Levitation ◽  
Adaptive Controller ◽  
Closed Loop System ◽  
Actual System ◽  
Levitation System ◽  
Magnetic Levitation System ◽  
Control Accuracy

In view of parameter uncertainty in the magnetic levitation system, the adaptive controller design problem is investigated for the system. Nonlinear adaptive controller based on backstepping is proposed for the design of the actual system with parameter uncertainty. The controller can estimate the uncertainty parameter online so as to improve control accuracy. Theoretical analysis shows that the closed-loop system is stable regardless of parameter uncertainty. Simulation results demonstrate the effectiveness of the presented method.

scholarly journals Fractional PIλD Controller Design for a Magnetic Levitation System

Electronics ◽  
2020 ◽  
Vol 9 (12) ◽  
pp. 2135
Author(s):  
Waldemar Bauer ◽  
Jerzy Baranowski
Keyword(s):  
Performance Indicators ◽  
Parametric Optimization ◽  
Controller Design ◽  
Magnetic Levitation ◽  
Stability Margins ◽  
Integer Order ◽  
Levitation System ◽  
Nyquist Stability ◽  
Magnetic Levitation System

Currently, there are no formalized methods for tuning non-integer order controllers. This is due to the fact that implementing these systems requires using an approximation of the non-integer order terms. The Oustaloup approximation method of the sα fractional derivative is intuitive and widely adopted in the design of fractional-order PIλD controllers. It requires special considerations for real-time implementations as it is prone to numerical instability. In this paper, for design and tuning of fractional regulators, we propose two methods.The first method relies on Nyquist stability criterion and stability margins. We base the second on parametric optimization via Simulated Annealing of multiple performance indicators. We illustrate our methods with a case study of the PIλD controller for the Magnetic Levitation System. We illustrate our methods’ efficiency with both simulations and experimental verification in both nominal and disturbed operation.

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