Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 861-872 |
| Number of pages | 12 |
| Journal | Automatica |
| Volume | 494 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2013 |
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Model reduction for nonlinear systems with incremental gain or passivity properties. / Besselink, B.; Wouw, van de, N.; Nijmeijer, H.
In: Automatica, Vol. 494, No. 4, 2013, p. 861-872.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - Model reduction for nonlinear systems with incremental gain or passivity properties
AU - Besselink, B.
AU - Wouw, van de, N.
AU - Nijmeijer, H.
PY - 2013
Y1 - 2013
N2 - In this paper, model reduction techniques for a class of nonlinear systems are proposed. Specifically, nonlinear systems are considered that can be decomposed as the feedback interconnection of a high-order linear subsystem and a nonlinear subsystem of relatively low order, allowing for the application of well-developed reduction techniques for linear systems. In this setting, conditions are given under which internal stability, as well as passivity or a bound on the L2 gain are preserved for the reduced-order nonlinear model. Additionally, a priori error bounds are given. In the derivation of the error bound, an incremental gain (or incremental passivity) property of the nonlinear subsystem is shown to be instrumental. Additionally, the techniques developed in this paper are applied in the scope of controller reduction, as is illustrated by means of an industrial temperature control benchmark example.
AB - In this paper, model reduction techniques for a class of nonlinear systems are proposed. Specifically, nonlinear systems are considered that can be decomposed as the feedback interconnection of a high-order linear subsystem and a nonlinear subsystem of relatively low order, allowing for the application of well-developed reduction techniques for linear systems. In this setting, conditions are given under which internal stability, as well as passivity or a bound on the L2 gain are preserved for the reduced-order nonlinear model. Additionally, a priori error bounds are given. In the derivation of the error bound, an incremental gain (or incremental passivity) property of the nonlinear subsystem is shown to be instrumental. Additionally, the techniques developed in this paper are applied in the scope of controller reduction, as is illustrated by means of an industrial temperature control benchmark example.
U2 - 10.1016/j.automatica.2013.01.004
DO - 10.1016/j.automatica.2013.01.004
M3 - Article
VL - 494
SP - 861
EP - 872
JO - Automatica
JF - Automatica
SN - 0005-1098
IS - 4
ER -