Computing Balanced Realizations for Nonlinear Systems

Abstract : In 1993, Scherpen generalized the balanced truncation method to the nonlinear setting. However, the Scherpen procedure is not easily computable and has not yet been applied in practice. The authors offer methods, tools, and algorithms for computing the energy functions and coordinate transformations involved in the Scherpen theory and procedure for nonlinear balancing. They then apply their own approach to derive, for the first time, balanced representations of nonlinear state-space models.