Robust D-stability analysis of an induction motor

This paper deals with the synthesis of a state feedback control law to reach some desired dynamic performances of an induction motor. The specification on the closed-loop poles is given in terms of clustering region such as the Ellipsoid Matrix Inequality epsivMI-region or the Extended Ellipsoid Matrix Inequality epsivepsivMI-region. The problem of robust matrix root-clustering analysis is studied. The considered matrix is complex and subject to parameter dependent norm-bounded uncertainties. The clustering regions are unions of convex and possibly disjoint and non-symmetric sub-regions of the complex plane. An aggregation technique approach is used to compute a static state feedback control law which performs a partial pole placement. The proposed clustering conditions are then formulated through an LMI approach. The simulation results provide a good compromise between dynamic performances and some robustness aspects of the controlled system.