Stability and Invariance Analysis of Uncertain PWA Systems Based on Linear Programming

被引：0

作者：

Trimboli, Sergio ^{[1
]}

Rubagotti, Matteo ^{[2
]}

Bemporad, Alberto ^{[2
]}

机构：

[1] Univ Trento, Dept Mech & Struct Engn, Trento, Italy

[2] IMT Inst Adv Studies, Lucca, Italy

来源：

2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC) | 2011年

关键词：

PIECEWISE AFFINE; HYBRID SYSTEMS;

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：

This paper analyzes stability of discrete-time uncertain piecewise-affine systems whose dynamics are defined on a bounded set X that is not necessarily invariant. The objective is to prove the uniform asymptotic stability of the origin and to find an invariant domain of attraction. This goal is attained by defining a suitable extended dynamics (which is partially fictitious), and by using a numerical procedure based on linear programming. The theoretical results are based on the definition of a piecewise-affine, possibly discontinuous, Lyapunov function.

引用

页码：7398 / 7403

页数：6

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