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Finite-Time Fault Detection Filter Design for T–S Fuzzy Markovian Jump Systems with Distributed Delays and Incomplete Measurements

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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.

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Correspondence to R. Sakthivel.

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Suveetha, V.T., Sakthivel, R., Nithya, V. et al. Finite-Time Fault Detection Filter Design for T–S Fuzzy Markovian Jump Systems with Distributed Delays and Incomplete Measurements. Circuits Syst Signal Process 41, 28–56 (2022). https://doi.org/10.1007/s00034-021-01783-w

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  • DOI: https://doi.org/10.1007/s00034-021-01783-w

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