HPLF-based Robust Stability Criteria for Uncertain Continuous-Time Linear Systems

被引：0

作者：

Wang Yantao ^{[1
]}

Zhang Xian ^{[1
]}

Wang Xin ^{[1
]}

机构：

[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China

来源：

PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE | 2010年

关键词：

LMIs; Homogeneous Polynomial Lyapunov Functions; Robust Stability; NONQUADRATIC LYAPUNOV FUNCTIONS; ALGORITHM;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

New sufficient conditions for the robust stability of continuous-time linear systems with the norm-bounded additive/multiplicative uncertainty are proposed. These criteria are based on the feasibility test of a set of linear matrix inequalities (LMIs) obtained from homogeneous polynomial Lyapunov functions (HPLFs). It is shown that these proposed criteria are less conservative than those obtained by using common quadratic Lyapunov functions, which is also verified by numerical examples.

引用

页码：921 / 924

页数：4

共 14 条

[11]

Siljak D.D., 1969, NONLINEAR SYSTEMS PA

[12] Piecewise Lyapunov functions for robust stability of linear time-varying systems [J].

Xie, L ;

Shishkin, S ;

Fu, MY .

SYSTEMS & CONTROL LETTERS, 1997, 31 (03) :165-171

[13] NONQUADRATIC LYAPUNOV FUNCTIONS FOR ROBUST STABILITY ANALYSIS OF LINEAR UNCERTAIN SYSTEMS [J].

ZELENTSOVSKY, AL .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (01) :135-138

[14]

ZHOU K, 1987, IEEE T AUTOMAT CONTR, V32, P621, DOI 10.1109/TAC.1987.1104667

← 1 2 →