Abstract
Magnetic Levitation Systems are used to levitate a ferromagnetic object in the air. It has a wide area of applications because it eradicates energy losses that occur due to friction of the surface. In this paper, nonlinear controllers have been designed by using backstepping, integral backstepping and synergetic control techniques to obtain certain control objectives. Nonlinear controllers have been designed because of nonlinear dynamics present in the system model. It is required to generate a certain amount of flux by applying control input to the system. The magnetic flux is then used to levitate the body in air at a certain distance from the coil so that the movement of the body within that magnetic flux is negligible. The magnetic force provides an acceleration against the earth gravitational force to lift the body towards the coil. For each nonlinear controller, Lyapunov based theory has been used to check the global asymptotic stability of the system. MATLAB/Simulink environment is then used to analyze the system's performance for the proposed controllers. Moreover, a comparative analysis of proposed controllers has been given with linear (PI) controller.
Highlights
In Magnetic levitation (MAGLEV) system an object is levitated in air without any kind of support using a magnetic force
In MAGLEV system an object is levitated in air without any kind of support using a magnetic force
When the applied voltage u of the coil changes, the current I passing through it changes which results in changing the magnitude of magnetic flux λ and the magnetic force fe acting on the metallic ball
Summary
In MAGLEV system an object is levitated in air without any kind of support using a magnetic force. The MAGLEV system is the future technology and has the vast area of applications This system is popular due to its non-contact property and zero friction and have many application such as in high-speed transportation systems [1], [4]–[6], brushless DC motors [7]–[10], bio-medical devices [11], launching rockets [12], [13], levitation of molten metals in induction furnaces and that of heavy metal slabs during manufacturing etc. It can be systematized into attractive and repulsive nature based on levitation forces To stabilize this type of system, many control designers are trying to design different control algorithms. The backstepping control algorithm is a recursive technique that uses the Lyapunov stability theory to design a controller for nonlinear systems.
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