Moment Matching for Nonlinear Systems of Second-Order Equations

被引：1

作者：

Simard, Joel D. ^{[1
]}

Moreschini, Alessio ^{[1
]}

Astolfi, Alessandro ^{[1
,2
]}

机构：

[1] Imperial Coll London, Dept Elect & Elect Engn, London SW7 2AZ, England

[2] Univ Roma Tor Vergata, Dipartimento Ingn Civile & Ingn Informat, Via Politecn 1, I-00133 Rome, Italy

来源：

2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC | 2023年

基金：

英国工程与自然科学研究理事会;

关键词：

Model reduction; moment matching; nonlinear systems; second-order equations; MODEL-REDUCTION; BALANCED TRUNCATION;

D O I：

10.1109/CDC49753.2023.10383215

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we consider the problem of constructing nonlinear systems of second-order equations that achieve moment matching. In particular, necessary and sufficient conditions are given for which a system of second-order equations achieves moment matching, and a family of systems of second-order equations achieving moment matching is directly constructed by extracting it, via particular choices of the free mappings, from a parameterization of all systems achieving moment matching. The results are specialized for the scenario in which the signal generator is a linear system. Finally, the results of the paper are demonstrated by constructing reduced order models of a two link robotic manipulator in the second-order equation form.

引用

页码：4978 / 4983

页数：6

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