Parametrization of Nonlinear State Feedback Controllers via Kernel Representations

This paper is concerned with the parametrization of nonlinear state feedback controllers via kernel representations. First we define an appropriate stability for state feedback systems. Second it is shown that the stability condition can be reduced to the internal stability of a specific type of output feedback system. Finally the state feedback parametrization will be derived based on the existing output feedback parametrization. Furthermore, the robustness of state feedback systems is discussed.