Stability analysis of networked control systems : a sum of squares approach

N.W. Bauer, P.J.H. Maas, W.P.M.H. Heemels

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

5 Citations (Scopus)
83 Downloads (Pure)

Abstract

This paper presents a sum of squares (SOS) approach to the stability analysis of networked control systems (NCSs) incorporating time-varying delays and time-varying transmission intervals. We will provide mathematical models that describe these NCSs and transform them into suitable hybrid systems formulations. Based on these hybrid systems formulations we construct Lyapunov functions using SOS techniques that can be solved using LMI-based computations. This leads to several advantages: (i) we can deal with nonlinear polynomial controllers and systems, (ii) we can allow for non-zero lower bounds on the delays and transmission intervals in contrast with various existing approaches, (iii) we allow more flexibility in the Lyapunov functions thereby possibly obtaining improved bounds for the delays and transmission intervals than existing results, and finally (iv) it provides an automated method to address stability analysis problems in NCS.
Original languageEnglish
Title of host publicationProceedings of the 49th IEEE Conference on Decision and Control (CDC 2010), 15-17 december 2010, Atlanta, GA, USA
Pages2384-2389
DOIs
Publication statusPublished - 2010
Event49th IEEE Conference on Decision and Control (CDC 2010) - Atlanta, United States
Duration: 15 Dec 201017 Dec 2010
Conference number: 49

Conference

Conference49th IEEE Conference on Decision and Control (CDC 2010)
Abbreviated titleCDC 2010
Country/TerritoryUnited States
CityAtlanta
Period15/12/1017/12/10

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