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Reliable H ∞ filter design for T–S fuzzy model‐based networked control systems with random sensor failure
Author(s) -
Tian Engang,
Yue Dong
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.1811
Subject(s) - control theory (sociology) , inverted pendulum , nonlinear system , network packet , decoupling (probability) , filter (signal processing) , computer science , fuzzy logic , fuzzy control system , control engineering , control (management) , engineering , artificial intelligence , computer network , physics , quantum mechanics , computer vision
SUMMARY This paper investigates robust and reliable H ∞ filter design for a class of nonlinear networked control systems: (i) a T‐S fuzzy model with its own uncertainties is used to approximate the nonlinear dynamics of the plant, (ii) a new sensor failure model with uncertainties is proposed, and (iii) the signal transfer of the closed‐loop system is under a networked communication scheme and therefore is subject to time delay, packet loss, and/or packet out of order. Four new theorems are proved to cover the conditions for the robust mean square stability of the systems under study in terms of LMIs, and a decoupling method for the filter design is developed. Two examples, one of them is based on a model of an inverted pendulum, are provided to demonstrate the design method. Copyright © 2011 John Wiley & Sons, Ltd.