Phase of linear time-periodic systems

被引：6
|
作者：
Chen, Wei [1 ,2 ]
机构：
[1] Peking Univ, Dept Mech & Engn Sci, Beijing 100871, Peoples R China
[2] Peking Univ, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China
来源：
AUTOMATICA | 2023年 / 151卷
基金：
中国国家自然科学基金;
关键词：
Phase; LTP systems; LTP small phase theorem; LTP sectored real lemma; Dissipativity; FREQUENCY-RESPONSE; H-INFINITY; ROBUSTNESS ANALYSIS; GAIN-PHASE;
D O I：
10.1016/j.automatica.2023.110925
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 defines a notion of phase for linear time-periodic (LTP) systems by exploiting the numerical ranges of their harmonic transfer functions. Then an LTP small phase theorem for input-output stability of feedback interconnections is formulated and an LTP sectored real lemma is derived for phase computation. We also discuss the time-domain interpretation of phase and the connection between phase and a constrained version of dissipativity. The new concepts and results developed in this paper complement their gain-based counterparts and extend the study of system phase from multi-input multi-output (MIMO) linear time-invariant (LTI) systems to LTP systems. (c) 2023 Elsevier Ltd. All rights reserved.
引用
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页数：9
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