Title :
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
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;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3
