A new approach to model reduction of nonlinear control systems using smooth orthogonal decomposition

被引：8
|
作者：
Ilbeigi, Shahab [1 ]
Chelidze, David [1 ]
机构：
[1] Univ Rhode Isl, Dept Mech Ind & Syst Engn, Kingston, RI 02881 USA
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2018年 / 28卷 / 15期
基金：
美国国家科学基金会;
关键词：
nonlinear control systems; nonlinear model reduction; proper orthogonal decomposition; smooth orthogonal decomposition; subspace robustness; REDUCED-ORDER MODELS; BALANCED TRUNCATION; PART I; VIBRATION; STRATEGY; FLUIDS;
D O I：
10.1002/rnc.4238
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A new approach to model order reduction of nonlinear control systems is aimed at developing persistent reduced order models (ROMs) that are robust to the changes in system's energy level. A multivariate analysis method called smooth orthogonal decomposition (SOD) is used to identify the dynamically relevant modal structures of the control system. The identified SOD subspaces are used to develop persistent ROMs. Performance of the resultant SOD-based ROM is compared with proper orthogonal decomposition (POD)-based ROM by evaluating their robustness to the changes in system's energy level. Results show that SOD-based ROMs are valid for a relatively wider range of the nonlinear control system's energy when compared with POD-based models. In addition, the SOD-based ROMs show considerably faster computations compared to the POD-based ROMs of same order. For the considered dynamic system, SOD provides more effective reduction in dimension and complexity compared to POD.
引用
收藏
页码：4367 / 4381
页数：15
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