Regional Analysis of Slope-Restricted Lurie Systems

被引：30
|
作者：
Valmorbida, Giorgio [1 ,2 ]
Drummond, Ross [3 ]
Duncan, Stephen R. [3 ]
机构：
[1] Univ Paris Saclay, Univ Paris Sud, CNRS, Lab Signaux & Syst,Cent Supelec, F-91192 Gif Sur Yvette, France
[2] INRIA, Projet DISCO, Villers Les Nancy, France
[3] Univ Oxford, Dept Engn Sci, Oxford OX1 3PJ, England
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2019年 / 64卷 / 03期
基金：
英国工程与自然科学研究理事会;
关键词：
Nonlinear control systems; absolute stability; region of attraction; ABSOLUTE STABILITY; FEEDBACK-SYSTEMS; POPOV CRITERION; FINITE REGIONS; SECTOR; MULTIPLIERS; ATTRACTION;
D O I：
10.1109/TAC.2018.2849618
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 stability analysis of nonlinear Lurie type systems where the nonlinearity is both (locally) sector and slope restricted. Convex conditions for verifying stability, computing outer estimates of reachable sets, and upper bounds on the induced L-2 gain in a local or global domain are proposed. The conditions use a Lyapunov function that is quadratic on both the states and the nonlinearity and has an integral term on the nonlinearity. Numerical examples outline the benefits of the proposed approach.
引用
收藏
页码：1201 / 1208
页数：8
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