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research-article

Finite-time passive reliable filtering for fuzzy systems with missing measurements

[+] Author and Article Information
S Vimal Kumar

Department of Mathematics, Anna University Regional Campus, Coimbatore - 641046, India
svimalkumar16@gmail.com

Rathinasamy Sakthivel

Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea
krsakthivel@yahoo.com

M Sathishkumar

Department of Mathematics, Anna University Regional Campus, Coimbatore - 641046, India
sathishmaths21@gmail.com

S Marshal Anthoni

Department of Mathematics, Anna University Regional Campus, Coimbatore - 641046, India
smarshalanthoni@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4039183 History: Received March 09, 2017; Revised November 18, 2017

Abstract

This article investigates the problem of robust finite-time extended passive reliable filtering for Takagi-Sugeno fuzzy systems with randomly occurring uncertainties, missing measurements and time-varying delays. Moreover, two stochastic variables satisfying the Bernoulli random distribution are introduced to characterize the phenomenon of the randomly occurring uncertainties and missing measurements. By selecting a proper Lyapunov-Krasovskii functional, a new set of sufficient conditions in terms of linear matrix inequalities is derived to ensure that the filtering error system is robustly stochastically finite-time bounded with a desired extended passive performance index. Based on the obtained sufficient conditions, an explicit expression for the desired filter can be computed. Finally, two numerical examples are provided to show the effectiveness of the proposed filter design technique.

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