Approximate Models of Singularly Perturbed Time-Varying Systems: A Bond Graph Approach

被引：1

作者：

Barrera-Gallegos, Noe ^{[1
]}

Gonzalez-Avalos, Gilberto ^{[2
,3
]}

Ayala-Jaimes, Gerardo ^{[4
]}

Padilla-Garcia, J. Aaron ^{[2
]}

机构：

[1] Technol Inst Morelia, Morelia, Michoacan, Mexico

[2] Univ Michoacan, Fac Elect Engn, Morelia, Michoacan, Mexico

[3] Univ Michoacan, Fac Mech Engn, Grad Studies Div, Morelia, Michoacan, Mexico

[4] Univ Autonoma Baja California, Sch Sci Engn & Technol, Tijuana, Mexico

来源：

JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS | 2020年 / 31卷 / 03期

关键词：

Bond graph; Singular perturbations; LTV systems; Approximate models; STEADY-STATE MODEL; ASYMPTOTIC STABILITY; PERTURBATIONS; CONTROLLER; REDUCTION;

D O I：

10.1007/s40313-020-00568-x

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 bond graph model in an integral causality assignment (BGI) for a singularly perturbed linear time-varying (LTV) system is proposed. The LTV constitutive relations of the elements and MTF and MGY elements modulated by LTV functions of the BGI are considered. A new bond graph called singularly perturbed varying bond graph (SPVBG) for determining the quasi-steady-state model is presented. This SPVBG has the property that the storage elements for the slow and fast dynamics have an integral and derivative causality assignment, respectively. In order to apply the proposed methodology, a case study of an electromechanical system is modelled by bond graphs and approximated models are obtained. Finally, simulation results for the exact and approximated solutions are shown.

引用

页码：607 / 624

页数：18

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