A dynamic state feedback control structure is proposed in this paper. The scheme is conceived as an adaptive controller with the equilibrium in an LgV control law as the uncertain parameter, which allows the implementation of the controller for systems with unknown equilibrium. A new property of LgV controllers is given, and it is proven that this and other important properties carry on to the proposed scheme, A synchronous machine ease study shows that the proposed scheme may give better results than the LgV controller from which it is derived.