Robust control for induction motors based on differential algebra

This paper presents a nonlinear robust controller for induction motors. A generalized state transformation depending on control signal is used to linearize the system. The new states of the linearized system include rotor speed, its first and second derivatives, rotor flux and its first derivative. Based on stator current and rotor speed measurements, a high gain observer with desired rate of convergence is designed to reconstruct partially the new states and to ensure a semi-global stabilization of the system. The control design includes robustness property to uncertainties in the rotor resistance. Simulation results are presented to verify the theoretical analysis and to show the performance of the controller