Stability of Asynchronous Feedback-Interconnected Dissipative Systems

Manuel Lopez-Martinez (1) , Carlos Canudas de Wit (2) , Francisco Rubio (1)

1 ISA - Department of Automatic Control and Systems Engineering [Sevilla]
2 NECS - Networked Controlled Systems

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.

Domains: Automatic

Manuel Lopez-Martinez, Carlos Canudas de Wit, Francisco Rubio. Stability of Asynchronous Feedback-Interconnected Dissipative Systems. ECC 2009 - European Control Conference, Aug 2009, Budapest, Hungary. pp.n/c. ⟨hal-00438818⟩