Nonlinear H2 and H∞ optimal controllers for current-fed induction motors

This paper presents a nonlinear control design for both the H-2 and H-infinity optimal control for current-fed induction motor drives. These controllers are derived using the analytical stationary solutions obtained in [3] that minimizes a generalized convex energy cost Function including the stored magnetic energy and the coil losses, while satisfying torque regulation control objectives. Explicit control expressions for both the H-2 and H-infinity optimal design are given. Furthermore, the optimal attenuation factor, i.e., the optimal H-infinity norm and the corresponding worst case disturbance, are both computed explicitly.