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H ∞ Control Synthesis for Lurie Networked Control Systems with Multiple Delays Based on the Non‐Uniform Characteristic
Author(s) -
Li Peiran,
Bao Zhejing,
Yang Qiang,
Yan Wenjun
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.605
Subject(s) - dropout (neural networks) , control theory (sociology) , network packet , networked control system , controller (irrigation) , set (abstract data type) , computer science , control system , control (management) , control engineering , mathematics , engineering , computer network , electrical engineering , artificial intelligence , machine learning , agronomy , biology , programming language
This paper investigates the H ∞ control synthesis problem for L urie networked control systems ( NCSs ) with multiple time‐varying delays. With the consideration of both network‐induced delays and data packet dropout, L urie NCSs discussed in this work can effectively be transformed into Lurie control systems with multiple time‐varying delays. In addition, with the non‐uniform distribution characteristics of network delays, based on the delay probability distribution, the stable controller design, and H ∞ synthesis, approaches are derived in the form of linear matrix inequalities ( LMIs ). Finally, a set of numerical examples are studied, and the results demonstrate the applicability and effectiveness of the suggested approaches.