Reliable H ∞  filter design for T–S fuzzy model-based networked control systems with random sensor failure


Engang Tian, School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, Jiangsu, China.



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.