17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper TuA12.2

Scherpen, Jacquelien M.A. (Delft Univ. of Tech.)

Balancing Relations between the Normalized Left and Right Coprime Factorizations of a Nonlinear System

Scheduled for presentation during the Mini-Symposium "Model order reduction for nonlinear systems" (TuA12), Tuesday, July 25, 2006, 10:50−11:15, Room 104b

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on February 23, 2024

Keywords Model reduction, Large scale systems, Control of nonlinear systems

Abstract

The paper considers the relation between the singular value functions of the nonlinear normalized left coprime factorizations (NLCF) and the nonlinear normalized right coprime factorization (NRCF). In previous work a new duality notion gave rise to a relation between the controllability, observability, future and past energy functions of the original system and its NLCF and NRCF. However, some linear parameter varying notions were missing. Here, we include that in the analysis. Both the NLCF and NRCF can be used for model reduction based on balanced realizations for an unstable nonlinear system. For linear systems model reduction based on balancing of the NLCF and NRCF yields the same reduced order model.