Title :
Model Reduction for a Class of Convergent Nonlinear Systems
Author :
Besselink, Bart ; van de Wouw, N. ; Nijmeijer, H.
Author_Institution :
Dept. of Mech. Eng., Eindhoven Univ. of Technol., Eindhoven, Netherlands
fDate :
4/1/2012 12:00:00 AM
Abstract :
In this technical note, a model reduction procedure is presented for nonlinear systems that can be decomposed into a feedback interconnection of a linear and nonlinear subsystem. Conditions for stability of the reduced-order model and an error bound are given. Herein, the input-to-state convergence property is exploited, which proves to be useful in the definition and derivation of the error bound. The results are illustrated by application to a nonlinear mechanical system.
Keywords :
convergence; feedback; nonlinear systems; reduced order systems; stability; convergent nonlinear systems; error bound; feedback interconnection; input-to-state convergence property; model reduction; nonlinear mechanical system; nonlinear subsystem; reduced-order model; stability; Approximation methods; Asymptotic stability; Convergence; Nonlinear systems; Reduced order systems; Stability analysis; Steady-state; Model reduction; nonlinear systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2170449
