A scalable method for the analysis of networked linear systems with decentralized sampled‐data control. (4th October 2021)

• Record Type: Journal Article
• Authors: Dileep, Deesh; Fiter, Christophe; Hetel, Laurentiu; Michiels, Wim
• Other Names: Mondié Sabine guestEditor.; Egorov Alexey guestEditor.
• Is Part Of: International journal of robust and nonlinear control. Volume 32:Number 6(2022)
• Page Start: 3292
• Page End: 3313
• Publication Date: 2021-10-04
• Subjects: decentralized control -- large‐scale systems -- LMI techniques -- sampled‐data control; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5811
• Languages: English
• ISSNs: 1049-8923

Abstract

Abstract: In this article, the stability analysis problem of networked linear systems with decentralized sampled‐data controllers is considered. The networks under consideration are composed of interconnected identical systems. A dissipativity‐based approach is utilized to analyze stability, grounded in an interconnection interpretation. A structure exploiting and scalable approach is employed to derive a sufficient stability condition for large‐scale linear systems, which is independent of the number of subsystems. In the analysis, the effects of uncertainty on the system models, which include uncertainties that render the coupled systems nonidentical, aperiodic sampling, and a switching network topology, are taken into account. Numerical examples are presented to demonstrate the main result and simulate the sampled‐data system.