Dilated LMI characterization for the robust finite time control of discrete-time uncertain linear systems

被引：11

作者：

Rotondo, Damiano ^{[1
]}

Nejjari, Fatiha ^{[1
]}

Puig, Vicenc ^{[1
,2
]}

机构：

[1] Univ Politecn Cataluna, Res Ctr Supervis Safety & Automat Control CS2AC, Terrassa 08222, Spain

[2] UPC CSIC Carrer Llorens i Artigas, Inst Robot & Informat Ind IRI, Barcelona 08028, Spain

来源：

AUTOMATICA | 2016年 / 63卷

关键词：

Discrete-time systems; Finite time control; Linear matrix inequalities; Parameter-dependent Lyapunov functions; Robust control; Uncertain linear systems; STABILITY;

D O I：

10.1016/j.automatica.2015.10.003

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 provides new dilated linear matrix inequalities (LMIs) characterizations for the finite time boundedness (FTB) and the finite time stability (FTS) analysis of discrete-time uncertain linear systems. The dilated LMIs are later used to design a robust controller for the finite time control of discrete-time uncertain linear systems. The relevant feature of the proposed approach is the decoupling between the Lyapunov and the system matrices, that allows considering a parameter-dependent Lyapunov function. In this way, the conservativeness with respect to previous results is decreased. Numerical examples are used to illustrate the results. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：16 / 20

页数：5

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