Stabilizing controls for a doubly fed synchronous-induction machine

The stability of a doubly-fed synchronous-induction machine is investigated through small as well as large perturbation models. Two stabilizing control strategies have been proposed for the small perturbation bilinear model. The first is based on quadratic bilinear regulator theory, and the second provides a suboptimal control based on minimization of time. The responses are compared with the uncontrolled ones as well as those with conventional linear regulator control. While both the proposed strategies stabilize the system, the minimum-time suboptimal control is found to be superior