A circle criterion for strong integral input-to-state stability

被引：15

作者：

Guiver, Chris ^{[1
]}

Logemann, Hartmut ^{[1
]}

机构：

[1] Univ Bath, Dept Math Sci, Bath, Avon, England

来源：

AUTOMATICA | 2020年 / 111卷

关键词：

Asymptotic stabilisation; Circle criterion; Lur'e systems; Robust control of nonlinear systems; Strong iISS; LINEAR-SYSTEMS SUBJECT; ROBUST STABILITY; STRONG IISS; STABILIZATION; GAIN;

D O I：

10.1016/j.automatica.2019.108641

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 present sufficient conditions for integral input-to-state stability (iISS) and strong iISS of the zero equilibrium pair of continuous-time forced Lur'e systems, where by strong iISS we mean the conjunction of iISS and small-signal ISS. Our main results are reminiscent of the complex Aizerman conjecture and the well-known circle criterion. We derive a number of corollaries, including a result on stabilisation by static feedback in the presence of input saturation. In particular, we identify classes of forced Lur'e systems with saturating nonlinearities which are strongly iISS, but not ISS. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：14

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