Finite-time reliable filtering for Takagi–Sugeno fuzzy semi-Markovian jump systems

R. Sakthivel, V.T. Suveetha, V. Nithya and R. Sakthivel

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 185, issue C, 403-418

Abstract: In this study, we concentrate on the problem of a finite-time reliable filter design for discrete-time Takagi–Sugeno fuzzy semi-Markovian jump systems with time-varying delay, sensor faults and randomly occurring uncertainties. To be precise, the time-varying transition probability matrices for the considered system are described by a semi-Markov process. Specifically, the objective is to design a reliable filter ensuring the strict dissipativity performance of the augmented filtering error system in the presence of sensor failures. Further, the stochastic variables describing the random nature of the parameter uncertainties are assumed to follow the Bernoulli distribution. A new finite-time stochastic stability criterion based on reciprocally convex approach and Lyapunov–Krasovskii stability theory is established in terms of linear matrix inequalities for the considered Takagi–Sugeno fuzzy semi-Markovian jump systems. Moreover, the delay-dependent conditions are established to guarantee the augmented filtering error system to be stochastically finite-time bounded and to achieve a prescribed strict dissipativity performance level for all admissible uncertainties and sensor faults. Finally, a numerical example is provided to show the correctness and effectiveness of the proposed method.

Keywords: Finite-time boundedness; T–S fuzzy model; Semi-Markovian jump systems; Non-fragile filtering; Strict-dissipativity (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475420305048
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:185:y:2021:i:c:p:403-418

DOI: 10.1016/j.matcom.2020.12.034

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().