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

页数：9

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