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Controller synthesis for networked control systems
Authors:M.B.G. Cloosterman [Author Vitae]  L. Hetel [Author Vitae]  N. van de Wouw [Author Vitae]  W.P.M.H. Heemels [Author Vitae]
Affiliation:
  • a Department of Mechanical Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands
  • b Univ. Lille Nord de France, LAGIS, FRE CNRS 3303, École Centrale de Lille, Cité Scientifique, BP 48, 59651 Villeneuve d’Ascq CEDEX, France
  • c Nancy University, CRAN UMR 7039 CNRS, ENSEM, 2, av. foret de la Haye, 54516, Vandœvre-Les-Nancy, Cedex, France
  • d Yacht, High Tech Campus 84, 5656 AG Eindhoven, The Netherlands
  • Abstract:This paper presents a discrete-time model for networked control systems (NCSs) that incorporates all network phenomena: time-varying sampling intervals, packet dropouts and time-varying delays that may be both smaller and larger than the sampling interval. Based on this model, constructive LMI conditions for controller synthesis are derived, such that stabilizing state-feedback controllers can be designed. Besides the proposed controller synthesis conditions a comparison is made between the use of parameter-dependent Lyapunov functions and Lyapunov-Krasovskii functions for stability analysis. Several examples illustrate the effectiveness of the developed theory.
    Keywords:Networked control systems   Time-varying delay   Sampled-data control   Linear matrix inequalities   Stability analysis
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