A Simulation Study: LMI Based Sliding Mode Control with Attractive Ellipsoids for Sensorless Induction Motor

  • DeepikaEmail author
  • Shiv Narayan
  • Sandeep Kaur
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 713)


This paper proposes an LMI based robust sliding mode control for an uncertain induction motor with attractive ellipsoid approach. The non-linear control strategy is based on minimization of an ellipsoid’s size for convergence of motor dynamics onto an optimal sliding manifold, in minimum time. The controller gains as well as sliding manifold are found by solving matrix inequalities (LMI), using YALMIP and SEDUMI toolboxes. To demonstrate the efficacy of the methodology, a detailed analysis is done for this motor with time varying mismatched perturbations or external disturbances using MATLAB software. Simulations have proved the robustness of the proposed controller with high performance time domain responses, in presence of parametric and load variations.


Induction motor Linear matrix inequalities (LMI) Attractive ellipsoid Quasi-Lipschitz functions Sliding mode control (SMC) Lyapunov function 


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© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of Electrical EngineeringPEC University of TechnologyChandigarhIndia

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