On Balanced Realization and Finite-dimensional Approximation for Infinite-dimensional Nonlinear Systems

Abstract

In this paper, we propose a finite-dimensional approximation for a nonlinear infinite-dimensional system via balanced realization.The proposed method is accomplished by balanced realization and singular value analysis for nonlinear systems.This approach is expected to derive effective approximate models preserving particular input-output behavior.To obtain balanced realization for infinite-dimensional systems, a sufficient condition and a necessary one characterizing them are derived.Finally, the effectiveness of the method is shown by a numerical simulation.