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Stabilization of networked control systems with nonuniform random sampling periods
Author(s) -
Yang Hongjiu,
Xia Yuanqing,
Shi Peng
Publication year - 2011
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1607
Subject(s) - delta operator , dropout (neural networks) , network packet , control theory (sociology) , networked control system , mathematics , operator (biology) , sampling (signal processing) , stability (learning theory) , control system , linear system , invariant (physics) , computer science , lyapunov function , exponential stability , control (management) , nonlinear system , shift operator , engineering , mathematical analysis , artificial intelligence , compact operator , computer network , chemistry , mathematical physics , biochemistry , quantum mechanics , machine learning , transcription factor , computer vision , programming language , physics , electrical engineering , extension (predicate logic) , gene , filter (signal processing) , repressor
Abstract In this paper, a new linear delayed delta operator switched system model is proposed to describe networked control systems with packets dropout and network‐induced delays. The plant is a continuous‐time system, which is sampled by time‐varying random sampling periods. A general delta domain Lyapunov stability criterion is given for delta operator switched systems with time delays. Sufficient conditions for asymptotic stability of closed‐loop networked control systems with both packets dropout and network‐induced delays are presented in terms of linear matrix inequalities (LMIs). A verification theorem is given to show the solvability of the stabilization conditions by solving a class of finite LMIs. Both the case of data packets arrive instantly and the case of invariant sampling periods in delta operator systems are given, respectively. Three numerical examples are given to illustrate the effectiveness and potential of the developed techniques. Copyright © 2010 John Wiley & Sons, Ltd.