This paper deals with a robust controller for an induction motor which is
represented as a linear parameter varying systems. To do so linear matrix
inequality (LMI) based approach and robust Lyapunov feedback controller are
associated. This new approach is related to the fact that the synthesis of a
linear parameter varying (LPV) feedback controller for the inner loop take
into account rotor resistance and mechanical speed as varying parameter. An
LPV flux observer is also synthesized to estimate rotor flux providing
reference to cited above regulator. The induction motor is described as a
polytopic model because of speed and rotor resistance affine dependence their
values can be estimated on line during systems operations. The simulation
results are presented to confirm the effectiveness of the proposed approach
where robustness stability and high performances have been achieved over the
entire operating range of the induction motor.