This paper investigates the problem of robust finite time extended passive reliable filtering for Takagi–Sugeno (T–S) 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 skillfully choosing a proper Lyapunov–Krasovskii functional (LKF), a new set of sufficient conditions in terms of linear matrix inequalities (LMI) is derived to ensure that the filtering error system is robustly stochastically finite time bounded (SFTB) 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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August 2018
Research-Article
Finite Time Passive Reliable Filtering for Fuzzy Systems With Missing Measurements
S. Vimal Kumar,
S. Vimal Kumar
Department of Mathematics,
Anna University,
Regional Campus,
Coimbatore 641046, India
e-mail: svimalkumar16@gmail.com
Anna University,
Regional Campus,
Coimbatore 641046, India
e-mail: svimalkumar16@gmail.com
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R. Sakthivel,
R. Sakthivel
Department of Mathematics,
Sungkyunkwan University,
Suwon 440-746, South Korea
e-mail: krsakthivel@yahoo.com
Sungkyunkwan University,
Suwon 440-746, South Korea
e-mail: krsakthivel@yahoo.com
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M. Sathishkumar,
M. Sathishkumar
Department of Mathematics,
Anna University,
Coimbatore 641046, India
e-mail: sathishmaths21@gmail.com
Anna University,
Regional Campus
,Coimbatore 641046, India
e-mail: sathishmaths21@gmail.com
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S. Marshal Anthoni
S. Marshal Anthoni
Department of Mathematics,
Anna University,
Coimbatore 641046, India
e-mail: smarshalanthoni@gmail.com
Anna University,
Regional Campus
,Coimbatore 641046, India
e-mail: smarshalanthoni@gmail.com
Search for other works by this author on:
S. Vimal Kumar
Department of Mathematics,
Anna University,
Regional Campus,
Coimbatore 641046, India
e-mail: svimalkumar16@gmail.com
Anna University,
Regional Campus,
Coimbatore 641046, India
e-mail: svimalkumar16@gmail.com
R. Sakthivel
Department of Mathematics,
Sungkyunkwan University,
Suwon 440-746, South Korea
e-mail: krsakthivel@yahoo.com
Sungkyunkwan University,
Suwon 440-746, South Korea
e-mail: krsakthivel@yahoo.com
M. Sathishkumar
Department of Mathematics,
Anna University,
Coimbatore 641046, India
e-mail: sathishmaths21@gmail.com
Anna University,
Regional Campus
,Coimbatore 641046, India
e-mail: sathishmaths21@gmail.com
S. Marshal Anthoni
Department of Mathematics,
Anna University,
Coimbatore 641046, India
e-mail: smarshalanthoni@gmail.com
Anna University,
Regional Campus
,Coimbatore 641046, India
e-mail: smarshalanthoni@gmail.com
1Corresponding author.
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received March 9, 2017; final manuscript received November 18, 2017; published online March 13, 2018. Assoc. Editor: Ming Xin.
J. Dyn. Sys., Meas., Control. Aug 2018, 140(8): 081009 (10 pages)
Published Online: March 13, 2018
Article history
Received:
March 9, 2017
Revised:
November 18, 2017
Citation
Vimal Kumar, S., Sakthivel, R., Sathishkumar, M., and Marshal Anthoni, S. (March 13, 2018). "Finite Time Passive Reliable Filtering for Fuzzy Systems With Missing Measurements." ASME. J. Dyn. Sys., Meas., Control. August 2018; 140(8): 081009. https://doi.org/10.1115/1.4039183
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