Dwell-time approach to input output stability properties for a class of discrete-time dynamical systems

被引：10

作者：

Cai, Chaohong ^{[1
,2
]}

机构：

[1] Pratt & Whitney, E Hartford, CT 06108 USA

[2] United Technol Res Ctr, Hartford, CT USA

来源：

SYSTEMS & CONTROL LETTERS | 2011年 / 60卷 / 06期

关键词：

LMI; Linear time-varying systems; Hybrid systems; Input-output stability (multiple) Lyapunov functions; Dwell time; MEAN-SQUARE GAINS; SWITCHED SYSTEMS;

D O I：

10.1016/j.sysconle.2011.01.007

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider a class of discrete-time dynamical systems that consist of switching of many linear time-invariant systems, and it can be used to cover a sampled-data version of Switched Linear Systems, which have been widely studied in the literature. For this class of dynamical systems, we establish the LMI (Linear Matrix Inequality) formulation of analyzing their input output stability properties, including both l-2 stability and passivity, by constraining switching signals via the concept of dwell time. The LMI formulation of l-2 stability is applied to evaluating the closed-loop performance of an industrial refrigeration process that is regulated by several proportional-integral (PI) controllers in a switching structure. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：383 / 389

页数：7

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