Model reduction of nonlinear systems with bounded incremental $L_2$ gain

Bart Besselink, Nathan van de Wouw, Henk Nijmeijer

Research output: Contribution to conferencePaperAcademic

4 Citations (Scopus)

Abstract

A model reduction procedure for a class of nonlinear systems is presented in the current paper. Nonlinear systems are considered that can be decomposed into a linear subsystem of high order and a nonlinear subsystem of relatively low order, allowing for an approach in which only the linear subsystem is reduced using well-developed linear model reduction techniques. For this approach, conditions for stability of the reduced-order nonlinear system are given, as well as an error bound in terms of the L 2 signal norm. Herein, the nonlinear subsystem is assumed to have a bounded incremental L 2 gain, which proves to be a crucial property in the derivation of the results. The method is illustrated by means of an example.
Original languageEnglish
Pages7170-7175
Number of pages6
DOIs
Publication statusPublished - 2011
Externally publishedYes
Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
Duration: 12-Dec-201115-Dec-2011

Conference

Conference2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/TerritoryUnited States
CityOrlando, FL
Period12/12/201115/12/2011

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