Towards l2-stability of discrete-time reset control systems via dissipativity theory

被引：20

作者：

Carrasco, Joaquin ^{[1
]}

Navarro-Lopez, Eva M. ^{[2
]}

机构：

[1] Univ Manchester, Control Syst Ctr, Sch Elect & Elect Engn, Manchester M13 9PL, Lancs, England

[2] Univ Manchester, Sch Comp Sci, Manchester M13 9PL, Lancs, England

来源：

SYSTEMS & CONTROL LETTERS | 2013年 / 62卷 / 06期

基金：

英国工程与自然科学研究理事会;

关键词：

Discrete-time reset control systems; Dissipativity; l(2)-stability; INPUT-OUTPUT; DEPENDENT STABILITY; AVERAGE PASSIVITY; DYNAMICAL-SYSTEMS; STABILIZATION;

D O I：

10.1016/j.sysconle.2013.02.014

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 proposes conditions on input-output stability of discrete-time reset systems by using some key dissipativity properties. In the continuous-time setting, dissipativity of the base linear system is preserved under reset actions if the storage function is decreasing at reset times. Indeed, when the reset system is a full reset system, the dissipativity of the base linear system ensures the dissipativity of the reset system. However, in the discrete-time setting, this condition on the storage function is not enough to ensure the dissipativity of the base linear system. We define some dissipativity properties of discrete-time reset systems and give an appropriate definition of the reset system in order to preserve the (Q, S, R)-dissipativity of the base linear system under reset actions. As a result, l(2)-stability of feedback interconnected dissipative control reset systems is obtained. (C) 2013 Published by Elsevier B.V.

引用

页码：525 / 530

页数：6

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