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

This paper presents a nonlinear control design for both the H_∞ and H_∞ 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 H₂ and H_∞ optimal design are given. Furthermore the optimal attenuation factor, i.e. the optimal H_∞ norm and the corresponding worst case disturbance are both computed explicitly.