Kalman conjecture for resonant second-order systems with time delay

被引：0

作者：

Zhang, Jingfan ^{[1
]}

Heath, William P. ^{[1
]}

Carrasco, Joaquin ^{[1
]}

机构：

[1] Univ Manchester, Sch Elect & Elect Engn, Control Syst Ctr, Manchester M13 9PL, Lancs, England

来源：

2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2018年

关键词：

STATIONARY SYSTEM; STABILITY; COUNTEREXAMPLES; CRITERION; MONOTONE; UNIT;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We construct Zames-Falb multipliers for second-order systems with time delay. There are at least two equality constraints on the multiplier phase in the limiting case as the damping ratio tends to zero and the gain approaches the Nyquist gain. Nevertheless we demonstrate a multiplier exists for every system we consider. Our results depend on numerical examples and searches; thus while the Kalman Conjecture is apparently verified for this class of system, a formal proof is beyond the scope of the paper.

引用

页码：3938 / 3943

页数：6

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