Estimation of LISS (local input-to-state stability) properties for nonlinear systems

被引：14

作者：

Wu ShengYu ^{[1
]}

Mei ShengWei ^{[1
]}

Zhang XueMin ^{[1
]}

机构：

[1] Tsinghua Univ, State Key Lab Power Syst, Dept Elect Engn, Beijing 100084, Peoples R China

来源：

SCIENCE CHINA-TECHNOLOGICAL SCIENCES | 2010年 / 53卷 / 04期

基金：

中国国家自然科学基金;

关键词：

locally input-to-state stability; LISS-Lyapunov function; linear matrix inequality;

D O I：

10.1007/s11431-010-0108-2

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Compared with input-to-state stability (ISS) in global version, the concept of local input-to-state stability (LISS) is more relevant and meaningful in practice. The key of assessing LISS properties lies in investigating three main ingredients, the local region of initial states, the local region of external inputs and the asymptotic gain. It is the objective of this paper to propose a numerical algorithm for estimating LISS properties on the theoretical foundation of quadratic form LISS-Lyapunov function. Given developments of linear matrix inequality (LMI) methods, this algorithm is effective and powerful. A typical power electronics based system with common DC bus is served as a demonstration for quantitative results.

引用

页码：909 / 917

页数：9