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Asymptotic Stability and Finite‐Time Stability of Networked Control Systems: Analysis and Synthesis
Author(s) -
Xue Wenping,
Mao Weijie
Publication year - 2013
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.695
Subject(s) - control theory (sociology) , exponential stability , stability (learning theory) , bounded function , controller (irrigation) , full state feedback , network packet , dropout (neural networks) , state (computer science) , networked control system , mathematics , stability theory , control system , computer science , control (management) , engineering , nonlinear system , algorithm , mathematical analysis , computer network , physics , electrical engineering , quantum mechanics , artificial intelligence , machine learning , agronomy , biology
This paper focuses on the problems of asymptotic stability and finite‐time stability ( FTS ) analysis, along with the state feedback controller design for networked control systems ( NCSs ) with consideration of both network‐induced delay and packet dropout. The closed‐loop NCS is modeled as a discrete‐time linear system with a time‐varying, bounded state delay. Sufficient conditions for the asymptotic stability and the FTS of the closed‐loop NCS are provided, respectively. Based on the stability analysis results, a mixed controller design method, which guarantees the asymptotic stability of the closed‐loop NCS in the usual case and the FTS of the closed‐loop NCS in the unusual case (that is, in some particular time intervals, large state delay occurs), is presented. A numerical example is provided to illustrate the effectiveness of the proposed mixed controller design method.