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
收藏
页码：1559 / 1564
页数：6
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