Abstract
This paper deals with a new approach to explore the precise dynamic response of the maglev system train and its control. Magnetic-suspension systems are characterized by high nonlinearity and open-loop instability which are the core components of maglev vehicles. Firstly, we use the electromagnetics and mechanics laws to derive the mathematical expressions of the proposed maglev system. Analytical investigation and theoretical calculation show that for the specific values of the control system parameters, the maglev system train can be significantly improved. It points out that the inherent nonlinearity, the inner coupling, misalignments between the sensors and actuators, and external disturbances are the main issues that should be considered for maglev engineering. Secondly, a control strategy based on the precise model of a nonsing ular robust sliding mode control is designed to reduce the upper bound of both the uncertainty and interference of the sliding mode controller. This approach presents an added value compared to the new sliding control methods in terms of overshoot and speed of convergence which is designed to control the vertical position of the proposed system. By using rigorous mathematical transformation associated with the adaptation laws in the frequency domain, a sufficient condition is drawn for the stability of the dynamical error based on the Lyapunov theory. This allows us a great possibility for interpreting the operation of the maglev train system. Numerical results are presented to show the effectiveness of our proposed control scheme.
Highlights
Maglev systems attract great interest from engineers over the world due to their basic characteristics and their different applications such as high-speed, frictionless bearing and levitation of metal slabs during manufacturing [1]
To investigate numerically the complex Maglev dynamic, the derivation of the equilibrium point and the corresponding stability analysis is performed and the behavior depending on the control input have revealed the behavior of the system’s states with respect to the vibrating frequencies
The analytical studies and numerical ones show perfect agreement and can allow predicting efficiently the displacement’s amplitude of the electromagnet as well as the current flowing in the coil. These features are of great interest in the design of maglev vehicles
Summary
Maglev systems attract great interest from engineers over the world due to their basic characteristics (contact-less property between the rail and the train, minimal maintenance cost, faster speed and so on) and their different applications such as high-speed, frictionless bearing and levitation of metal slabs during manufacturing [1]. The basic requirement is the enhancement in the dynamic response of the system so that the proposed controller should have characteristics like: minimal overshoot/undershoot, faster convergence rate, minimal or zero steady state error and reduced chattering and robustness against external disturbance To satisfy these requirements we choose the nonsingular sliding mode for designing our proposed controller. It is worth to recall that in physical Maglev systems, some significant constraints exist, such as unavailability of all the state variables, matched and/or unmatched uncertainties due to parameter variation, model simplification and/or external disturbances [33,34,35] Due to these considerations, it is become a titanic task to design an appropriate controller with the specifics performance.
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