Nithya, V (2021) Finite-Time Fault Detection Filter Design for T–S Fuzzy Markovian Jump Systems with Distributed Delays and Incomplete Measurements. Circuits, Systems, and Signal Processing. p. 28.

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Abstract

This paper is concerned with the problem of fault detection filter design for a class
of nonlinear Markovian jump systems with incomplete measurements and distributed
delay. A unified model is proposed to address the phenomena such as packet losses,
signal quantization and sensor saturation. The objective is to design a finite-time
dissipative-based fault detection filter such that for all unknown disturbances, the
estimation error between the residual signal and the fault is minimized and also to guarantee the stochastic finite-time boundedness of the augmented filtering error system
with a prespecified dissipative performance level. By using Lyapunov stability theory
along with stochastic analysis techniques, a set of sufficient criterion is established
for the existence of desired fault detection filter. Further, the filter gain parameters
are obtained by solving the linear matrix inequality-based constraints. Two numerical examples including an inverted pendulum model are presented to illustrate the
effectiveness of the proposed filter design algorithm.

Item Type: Article
Uncontrolled Keywords: s T–S fuzzy Markovian jump systems · Incomplete measurements · Dissipative-based fault detection filter · Finite-time boundedness · Distributed delays
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 06 Oct 2022 07:16
Last Modified: 06 Oct 2022 07:16
URI: http://ir.psgcas.ac.in/id/eprint/1578

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