Lyapunov functions for discrete-time multivariable Popov criterion with indefinite multipliers

被引：2

作者：

Ahmad, N. Syazreen ^{[1
]}

Heath, W. P. ^{[1
]}

Li, Guang ^{[2
]}

机构：

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

[2] Univ Exeter, Sch Engn Comp & Math, Exeter EX4 4QF, Devon, England

来源：

49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2010年

关键词：

NONLINEAR LURE SYSTEMS; EXPLICIT CONSTRUCTION; TSYPKIN CRITERION; ROBUST STABILITY; SMALL GAIN; POSITIVITY; THEOREMS; CIRCLE;

D O I：

10.1109/CDC.2010.5717085

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 shows the existence of Lur'e-Postkinov type Lyapunov functions for the discrete-time multivariable Popov criterion with indefinite multipliers. The nonlinearities in the Lur'e systems considered here are monotonic, sector- and slope-restricted. We discuss the case where the nonlinearities are diagonal. Our derivation is based on the discrete-time Kalman-Yakubovich-Popov (KYP) lemma and the S-Procedure, and results in Linear Matrix Inequality (LMI) conditions which can be solved using convex optimization methods.

引用

页码：1559 / 1564

页数：6

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