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.
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页码：2815 / 2824
页数：10
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