Discrete-time super-twisting observer based control design for magnetically levitated system

Abstract

This paper presents a discrete-time robust observer based control designed for magnetically levitated system (MLS). The MLS is an unstable system based on the method of transportation of moving an object using lift and propulsion provided by magnets. The nonlinear dynamics of MLS has been discretized using Euler's method. The proposed observer based control is designed using sliding mode approach with the super-twisting algorithm (STA). The stability analysis of overall system has been worked out with the help of Lyapunov theory. The simulation results are highlighted the robust performance of the proposed scheme in the presence of uncertainty.