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
收藏
页码：525 / 530
页数：6
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