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 language | English |
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Pages | 7170-7175 |
Number of pages | 6 |
DOIs | |
Publication status | Published - 2011 |
Externally published | Yes |
Event | 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: 12-Dec-2011 → 15-Dec-2011 |
Conference
Conference | 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 |
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Country/Territory | United States |
City | Orlando, FL |
Period | 12/12/2011 → 15/12/2011 |