Frequency-domain stability conditions for split-path nonlinear systems

被引：0
|
作者：
van den Eijnden, S. J. A. M. [1 ]
Sharif, B. [1 ]
Heertjes, M. F. [1 ]
Heemels, W. P. M. H. [1 ]
机构：
[1] Eindhoven Univ Technol, Dept Mech Engn, Eindhoven, Netherlands
来源：
IFAC PAPERSONLINE | 2023年 / 56卷 / 01期
基金：
欧洲研究理事会;
关键词：
LIMITATIONS; INTEGRATOR; GAIN;
D O I：
10.1016/j.ifacol.2023.02.051
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper considers the class of control systems containing so-called split-path nonlinear (SPAN) filters, which are designed to overcome some of the well-known fundamental limitations in linear time-invariant (LTI) control. In this work, we are interested in developing tools for the stability analysis of such systems using frequency-domain techniques. Hereto, we explicitly show the equivalence between a set of linear matrix inequalities (LMIs) with S-procedure terms, guaranteeing stability of the closed-loop (SPAN) system, and a frequency-domain condition. We also provide a systematic procedure for verifying the frequency-domain condition in a graphical manner. The results are illustrated through a nummerical case study.
引用
收藏
页码：301 / 306
页数：6
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