• Deepika Deepika
• Dr. Sandeep Kaur

This paper proposes LMI based robust and optimal sliding mode control (SMC) approach for stabilization of a perturbed Magnetic Levitation System (MAGLEV). This system levitates an object with a strong magnetic force in space against gravity and thus, requires a robust controller strategy which rapidly regulates the position of an object to equilibrium in-spite of various mismatched uncertainties such as model parametric variations and external disturbances. Therefore, this paper employs an attractive ellipsoid control strategy which is based on optimizing the size of an ellipsoid containing equilibrium while ensuring the convergence of actual position of an object in quasi-minimal zone of equilibrium in finite time. It also guarantees an effective reduction of chattering and faster convergence of system dynamics over the prescribed sliding surface. The optimal sliding surface and sliding motion are computed by solving LMIs through YALMIP and SEDUMI toolboxes in MATLAB software. Simulations and results are also compared with the dynamic sliding mode control (DSMC) contributed in literature.

Convex Optimization, Sliding Mode Control (SMC), Linear Matrix Inequalities (LMI), Attractive Ellipsoid Methodology (AEM), Magnetic Levitation System (MAGLEV)

"Convex Optimization based Sliding Mode Control Algorithm of Perturbed MAGLEV using Attractive Ellipsoid Scheme", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.7, Issue 6, page no.1334-1340, June 2020, Available :http://www.jetir.org/papers/JETIR2006525.pdf

"Convex Optimization based Sliding Mode Control Algorithm of Perturbed MAGLEV using Attractive Ellipsoid Scheme", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.7, Issue 6, page no. pp1334-1340, June 2020, Available at : http://www.jetir.org/papers/JETIR2006525.pdf