The use of differential geometry methods for linearization of nonlinear electrical circuits with multiple inputs and multiple outputs (MIMOs)

被引：0

作者：

Rozowicz, Sebastian ^{[1
]}

Zawadzki, Andrzej ^{[1
]}

机构：

[1] Kielce Univ Technol, Fac Elect Engn Automat & Comp Sci, Al Tysiaclecia Panstwa Polskiego 7, PL-25314 Kielce, Poland

来源：

ELECTRICAL ENGINEERING | 2018年 / 100卷 / 04期

关键词：

Nonlinear MIMO circuit; Linearization; State space transformation; Feedback linearization; Local diffeomorphism; Lie algebras; FEEDBACK; STATE; SYSTEMS; STABILIZATION;

D O I：

10.1007/s00202-018-0746-0

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The paper presents a transformation of nonlinear MIMO electrical circuit into linear one by a change in coordinates (local diffeomorphism) with the use of a closed feedback loop. The necessary conditions that must be fulfilled by a nonlinear system to make linearizing procedures possible are presented. Numerical solutions of state equations for the nonlinear system and equivalent linearized system are included.

引用

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页码：2815 / 2824

页数：10

共 23 条

[21] Tracing Multiple Solution Branches for Nonlinear Ordinary Differential Equations: Chebyshev and Fourier Spectral Methods and a Degree-Increasing Spectral Homotopy [DISH]
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[22] Tracing Multiple Solution Branches for Nonlinear Ordinary Differential Equations: Chebyshev and Fourier Spectral Methods and a Degree-Increasing Spectral Homotopy [DISH]
Boyd, John P.
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 69 (03) : 1115 - 1143
[23] USE OF ELECTRICAL LOW-PASS EQUIVALENT CIRCUITS FOR DESIGN OF MULTIPLE-TUNED CRYSTAL AND CERAMIC FILTERS FROM MONOLITHIC SINGLE-FILTER ELEMENTS
KOHLBACHER, G
ARCHIV FUR ELEKTRONIK UND UBERTRAGUNGSTECHNIK, 1971, 25 (11): : 492 - +

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