Regional Analysis of Slope-Restricted Lurie Systems

被引：32

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

页码：1201 / 1208

页数：8

共 33 条

[1]

Aizerman M. A., 1964, Absolute Stability of Regulator Systems

[2]

[Anonymous], 2002, NONLINEAR SYSTEMS

[3] Zames-Falb multipliers for absolute stability: From O'Shea's contribution to convex searches [J].

Carrasco, Joaquin ;

Turner, Matthew C. ;

Heath, William P. .

EUROPEAN JOURNAL OF CONTROL, 2016, 28 :1-19

[4] LMI searches for anticausal and noncausal rational Zames-Falb multipliers [J].

Carrasco, Joaquin ;

Maya-Gonzalez, Martin ;

Lanzon, Alexander ;

Heath, William P. .

SYSTEMS & CONTROL LETTERS, 2014, 70 :17-22

[5] New results for analysis of systems with repeated nonlinearities [J].

D'Amato, FJ ;

Rotea, MA ;

Megretski, AV ;

Jönsson, UT .

AUTOMATICA, 2001, 37 (05) :739-747

[6] Piecewise-quadratic Lyapunov functions for systems with deadzones or saturations [J].

Dai, Dan ;

Hu, Tingshu ;

Teel, Andrew R. ;

Zaccarian, Luca .

SYSTEMS & CONTROL LETTERS, 2009, 58 (05) :365-371

[7] ON STABILITY OF FEEDBACK SYSTEMS WITH 1 DIFFERENTIABLE NONLINEAR ELEMENT [J].

DEWEY, AG .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1966, AC11 (03) :485-&

[8] Low-order mathematical modelling of electric double layer supercapacitors using spectral methods [J].

Drummond, Ross ;

Howey, David A. ;

Duncan, Stephen R. .

JOURNAL OF POWER SOURCES, 2015, 277 :317-328

[9] Zames–falb multipliers for invariance [J].

Fetzer M. ;

Scherer C.W. .

IEEE Control Systems Letters, 2017, 1 (02) :412-417

[10] Global Stability and Finite L2m-Gain of Saturated Uncertain Systems via Piecewise Polynomial Lyapunov Functions [J].

Garulli, Andrea ;

Masi, Alfio ;

Valmorbida, Giorgio ;

Zaccarian, Luca .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (01) :242-246

← 1 2 3 4 →