Biquadratic stability of uncertain linear systems

被引：73
|
作者：
Trofino, A [1 ]
de Souza, CE
机构：
[1] Univ Fed Santa Catarina, Dept Automat & Syst, BR-88040900 Florianopolis, SC, Brazil
[2] MCT, LNCC, Dept Syst & Control, BR-25651070 Petropolis, RJ, Brazil
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2001年 / 46卷 / 08期
关键词：
quadratic parameter-dependent Lyapunov functions; real time-varying uncertain parameters; robust stability; uncertain systems;
D O I：
10.1109/9.940939
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 note deals with the problem of stability analysis for linear systems with uncertain real, possibly time-varying, parameters. A robust stability approach based on a Lyapunov function which depends quadratically on the uncertain parameters as well as in the system state is proposed. This robust stability approach, referred to as biquadratic stability, is suited to deal with uncertain real parameters with magnitude and rate of change which are confined to a given convex region. A linear matrix inequality (LMI) based sufficient condition for biquadratic stability is developed. The proposed robust stability analysis method includes quadratic stability and affine quadratic stability as particular cases.
引用
收藏
页码：1303 / 1307
页数：5
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