Title :
Nonlinear balanced realization based on singular value analysis of Hankel operators
Author :
Fujimoto, Kenji ; Scherpen, Jacquelien M A
Author_Institution :
Dept. of Syst. Sci., Kyoto Univ., Japan
Abstract :
In this paper a new balanced realization method for nonlinear systems is proposed which is based on singular value analysis of Hankel operators. The proposed method balances the relationship between the input-to-state behavior and the state-to-output behavior of nonlinear dynamical systems, whereas the existing results only balance the relationship among the coordinate axes of the state-space. This result is expected to be a basis for new model reduction and system identification of nonlinear systems.
Keywords :
identification; nonlinear control systems; nonlinear dynamical systems; realisation theory; singular value decomposition; state-space methods; Hankel operators; input-to-state behavior; nonlinear balanced realization; nonlinear dynamical systems; singular value analysis; state-space coordinate axes; state-to-output behavior; systems identification; Controllability; Informatics; Information technology; Linear systems; Nonlinear dynamical systems; Nonlinear systems; Observability; Reduced order systems; Space technology; System identification;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272220
