An improved LMI-based approach for stability of piecewise affine time-delay systems with uncertainty

被引：11

作者：

Duan, Shiming ^{[1
]}

Ni, Jun ^{[1
]}

Ulsoy, A. Galip ^{[1
]}

机构：

[1] Univ Michigan, Dept Mech Engn, Ann Arbor, MI 48109 USA

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2012年 / 85卷 / 09期

基金：

美国国家科学基金会;

关键词：

piecewise affine systems; time-delay systems; stability analysis; Lyapunov-Krasovskii functional; ROBUST STABILIZATION; CRITERIA; FEEDBACK;

D O I：

10.1080/00207179.2012.680915

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The stability problem for uncertain piecewise affine (PWA) time-delay systems is investigated in this article. It is assumed that there exists a known constant time delay in the system and the uncertainly is norm-bounded. Sufficient conditions for the stability of nominal systems and the stability of systems subject to uncertainty are derived using the Lyapunov-Krasovskii functional with a triple integration term. This approach handles switching based on the delayed states (in addition to the states) for a PWA time-delay system, considers structured as well as unstructured uncertainty and reduces the conservativeness of previous approaches. The effectiveness of the proposed approach is demonstrated by comparing with the existing methods through numerical examples.

引用

页码：1218 / 1234

页数：17

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