Global stability of nonlinear feedback systemswith positive descriptor linear parts

IF 1.2 4区工程技术 Q3 ENGINEERING, MULTIDISCIPLINARY

Bulletin of the Polish Academy of Sciences-Technical Sciences Pub Date : 2023-11-06 DOI:10.24425/BPAS.2019.127337

T. Kaczorek

引用次数: 3

Abstract

. The global (absolute) stability of nonlinear systems with negative feedbacks and positive descriptor linear parts is addressed. Transfer matrices of positive descriptor linear systems are analyzed. The characteristics u = f ( e ) of the nonlinear parts satisfy the condition k 1 e ∙ f ( e ) ∙ k 2 e for some positive k 1 , k 2 . It is shown that the nonlinear feedback systems are globally asymptotically stable if the Nyquist plots of the positive descriptor linear parts are located in the right-hand side of the circles

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具有正广义线性部分的非线性反馈系统的全局稳定性

．研究了具有负反馈和正广义线性部分的非线性系统的全局(绝对)稳定性问题。分析了正广义线性系统的转移矩阵。非线性部分的特性u = f (e)满足k 1 e∙f (e)∙k 2 e对某正k 1, k 2的条件。证明了如果正描述子线性部分的Nyquist图位于圆的右侧，则非线性反馈系统是全局渐近稳定的

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of the Polish Academy of Sciences-Technical Sciences 工程技术-工程：综合

CiteScore

2.80

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Bulletin of the Polish Academy of Sciences: Technical Sciences is published bimonthly by the Division IV Engineering Sciences of the Polish Academy of Sciences, since the beginning of the existence of the PAS in 1952. The journal is peer‐reviewed and is published both in printed and electronic form. It is established for the publication of original high quality papers from multidisciplinary Engineering sciences with the following topics preferred: Artificial and Computational Intelligence, Biomedical Engineering and Biotechnology, Civil Engineering, Control, Informatics and Robotics, Electronics, Telecommunication and Optoelectronics, Mechanical and Aeronautical Engineering, Thermodynamics, Material Science and Nanotechnology, Power Systems and Power Electronics.