THE CLASS OF STABILIZING NONLINEAR PLANT CONTROLLER PAIRS

In this paper a general approach is taken to yield a characterization of the class of stable plant controller pairs which is a generalizatio n of the Youla parameterization for linear systems. This is based on t he idea of representing the input-output pairs of the plant and contro ller as elements of the kernel of some related operator which is denot ed the kernel representation of the system. It is demonstrated that in some sense the kernel representation is a generalization of the left coprime factorization of a general nonlinear system, Results giving on e method of deriving a kernel representation for a nonlinear plant wit h a general state-space description are presented.