Youla-Kucera Parameterization for Nonlinear Systems via Observer Based Kernel Representations

Abstract

This paper is concerned with Youla-Kucera parameterization for a class of nonlinear systems via kernel representations. Kernel representations are generalized left factorizations for nonlinear systems which are introduced by Paice et. al. We give a rather natural generalization of Youla-Kucera parameterization by using observer based kernel representations. Furthermore we derive the state space formula of the parameterization in this framework.