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Event‐triggered H ∞ control for a class of nonlinear networked control systems using novel integral inequalities
Author(s) -
Zhang XianMing,
Han QingLong
Publication year - 2016
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.3598
Subject(s) - control theory (sociology) , nonlinear system , interval (graph theory) , class (philosophy) , event (particle physics) , network packet , transmission (telecommunications) , mathematics , matrix (chemical analysis) , computer science , networked control system , control system , scheme (mathematics) , control (management) , engineering , telecommunications , mathematical analysis , artificial intelligence , physics , quantum mechanics , computer network , materials science , combinatorics , electrical engineering , composite material
Summary This paper is concerned with event‐triggered H ∞ control for a class of nonlinear networked control systems. An event‐triggered transmission scheme is introduced to select ‘necessary’ sampled data packets to be transmitted so that precious communication resources can be saved significantly. Under the event‐triggered transmission scheme, the closed‐loop system is modeled as a system with an interval time‐varying delay. Two novel integral inequalities are established to provide a tight estimation on the derivative of the Lyapunov–Krasovskii functional. As a result, a novel sufficient condition on the existence of desired event‐triggered H ∞ controllers is derived in terms of solutions to a set of linear matrix inequalities. No parameters need to be tuned when controllers are designed. The proposed method is then applied to the robust stabilization of a class of nonlinear networked control systems, and some linear matrix inequality‐based conditions are formulated to design both event‐triggered and time‐triggered H ∞ controllers. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed method. Copyright © 2016 John Wiley & Sons, Ltd.