Stability of asynchronous feedback-interconnected dissipative systems

Author

Lopez-Martinez, M. ; Canudas-de-Wit, C. ; Rubio, F.R.

Author_Institution

Dept. of Syst. & Autom., Univ. of Seville, Seville, Spain

fYear

2009

fDate

23-26 Aug. 2009

Firstpage

4314

Lastpage

4319

Abstract

This paper presents a method to analyze the stability of the feedback interconnection of a class of dissipative linear systems when the sampling associated to the feedback interconnection is asynchronous. We consider systems that are either Input/Output Strictly passive (IOSP), or systems which have bounded L₂-gains less than one. The analysis is performed by using the concept of MAximum Sampling time preserving Dissipation (MASD), for each interconnected system. We investigate the impact of using the scattering transformation in the computation of the MASD, and we provide a numerical algorithm (based on a set of LMI´s) that allows to choose the most suitable configuration for the interconnection.

Keywords

feedback; interconnected systems; linear matrix inequalities; linear systems; sampling methods; stability; IOSP; LMI; MASD; asynchronous feedback; dissipative linear systems; feedback interconnection; input-output strictly passive; interconnected system; maximum sampling time preserving dissipation; numerical algorithm; scattering transformation; stability; Approximation methods; Asymptotic stability; Europe; Linear systems; Numerical stability; Scattering; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2009 European

Conference_Location

Budapest

Print_ISBN

978-3-9524173-9-3

Type

conf

Filename

7075078