Resilient finite-time extended passive filtering for switched fuzzy systems with cyber-attacks

Document Type : Original Manuscript

Author

DEPARTMENT OF MATHEMATICS, KUMARAGURU COLLEGE OF TECHNOLOGY, COIMBATORE-641049, TAMIL NADU, INDIA.

Abstract

This article focuses on developing a robust resilient filtering approach for discrete-time switched fuzzy systems subject to random gain fluctuations and sensor malfunctions. In this framework, sensor outputs are modeled as stochastic processes that operate under varying failure probabilities. The addressed system dynamics also incorporate gain variations characterized by Bernoulli-distributed white noise sequences. With the aid of an appropriately formulated Lyapunov functional and finite-time stability theory, new sufficient conditions are derived in the form of linear matrix inequalities, ensuring that the enhanced fuzzy system achieves stochastic finite-time boundedness along with the desired passivity extension. Moreover, the proposed framework provides a systematic way to handle uncertainties and disturbances in practical control environments. To demonstrate the practical effectiveness of the proposed filter design, three numerical examples are presented, including cases drawn from robotic arm dynamics and nonlinear electronic circuits. 

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References

[1] I. A. Albouchi, C. Aouiti, F. Touati, Passivity and dissipativity criteria of discrete-time fractional-order fuzzy genetic regulatory networks, Iranian Journal of Fuzzy Systems, 23(4) (2026), 35-54. https://doi.org/10.22111/ ijfs.2026.53695.9507
[2] G. Andonovski, D. Leite, R. E. Precup, et al., Advancements in data-driven evolving fuzzy and neuro-fuzzy control: A comprehensive survey, Applied Soft Computing, 186(Part A) (2026), 114058. https://doi.org/10.1016/j. asoc.2025.114058
[3] L. J. Banu, P. Balasubramaniam, Robust stability and stabilization analysis for discrete-time randomly switched fuzzy systems with known sojourn probabilities, Nonlinear Analysis: Hybrid Systems, 17 (2015), 128-143. https: //doi.org/10.1016/j.nahs.2015.02.004
[4] H. D. Choi, C. K. Ahn, H. R. Karimi, M. T. Lim, Filtering of discrete-time switched neural networks ensuring exponential dissipative and l2-l∞ performances, IEEE Transactions on Cybernetics, 47(10) (2017), 3195-3207. https://doi.org/10.1109/TCYB.2017.2655725
[5] D. W. Ding, G. H. Yang, Fuzzy filter design for nonlinear systems in finite-frequency domain, IEEE Transactions on Fuzzy Systems, 18(5) (2010), 935-945. https://doi.org/10.1109/TFUZZ.2010.2058807
[6] S. Dong, H. Su, P. Shi, et al., Filtering for discrete-time switched fuzzy systems with quantization, In book: Control and Filtering of Fuzzy Systems with Switched Parameters, (2020), 139-156. https://doi.org/10.1007/ 978-3-030-35566-1_8
[7] Y. Gao, F. Xiao, J. Liu, R. Wang, Distributed soft fault detection for interval type-2 fuzzy-model-based stochastic systems with wireless sensor networks, IEEE Transactions on Industrial Informatics, 15(1) (2018), 334-347. https: //doi.org/10.1109/TII.2018.2812771
[8] H. Gao, Y. Zhao, J. Lam, K. Chen, H∞ fuzzy filtering of nonlinear systems with intermittent measurements, IEEE Transactions on Fuzzy Systems, 17(2) (2009), 291-300. https://doi.org/10.1109/TFUZZ.2008.924206
[9] H. Hu, B. Jiang, H. Yang, Non-fragile H2 reliable control for switched linear systems with actuator faults, Signal Processing, 93(7) (2013), 1804-1812. https://doi.org/10.1016/j.sigpro.2013.01.011
[10] H. K. Lam, B. Xiao, Y. Yu, et al., Membership-function-dependent stability analysis and control synthesis of guaranteed cost fuzzy-model-based control systems, International Journal of Fuzzy Systems, 18 (2016), 537-549. https://doi.org/10.1007/s40815-016-0162-4
[11] J. Lian, C. Li, B. Xia, Sampled-data control of switched linear systems with application to an F-18 aircraft, IEEE Transactions on Industrial Electronics, 64(2) (2017), 1332-1340. https://doi.org/10.1109/TIE.2016.2618872
[12] X. Lin, S. Li, Y. Zou, Finite-time stabilization of switched linear time-delay systems with saturating actuators, Applied Mathematics and Computation, 299 (2017), 66-79. https://doi.org/10.1016/j.amc.2016.11.039
[13] J. Lin, Y. Shi, S. Fei, Z. Gao, Reliable dissipative control of discrete-time switched singular systems with mixed time delays and stochastic actuator failures, IET Control Theory and Applications, 7(11) (2013), 1447-1462. https://doi.org/https://doi.org/10.1049/iet-cta.2013.0028
[14] J. Liu, C. Wu, Z. Wang, L. Wu, Reliable filter design for sensor networks using type-2 fuzzy framework, IEEE Transactions on Industrial Informatics, 13(4) (2017), 1742-1752. https://doi.org/10.1109/TII.2017.2654323
[15] S. Narayanamoorthy, S. P. Sathiyapriya, A pertinent approach to solve nonlinear fuzzy integro-differential equations, SpringerPlus, 5 (2016), 1-17. https://doi.org/10.1186/s40064-016-2045-4
[16] S. Narayanamoorthy, S. P. Sathiyapriya, Homotopy perturbation method: A versatile tool to evaluate linear and nonlinear fuzzy Volterra integral equations of the second kind, SpringerPlus, 5 (2016), 1-16. https://doi.org/10. 1186/s40064-016-2038-3
[17] S. K. Nguang, W. Assawinchaichote, H∞ filtering for fuzzy dynamical systems with D stability constraints, IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, 50(11) (2003), 1503-1508. https: //doi.org/10.1109/TCSI.2003.818624
[18] H. Peng, R. Lu, X. M. Li, S. Liu, Reliable L2−L∞ filtering for fuzzy Markov stochastic systems with sensor failures and packet dropouts, IET Control Theory and Applications, 11(14) (2017), 2195-2203. https://doi.org/10.1049/ iet-cta.2017.0361
[19] M. Sathishkumar, R. Sakthivel, F. Alzahrani, et al., Mixed H∞ and passivity-based resilient controller for nonhomogeneous Markov jump systems, Nonlinear Analysis: Hybrid Systems, 34 (2019), 86-99. https://doi.org/10. 1016/j.nahs.2018.08.003
[20] M. Sathishkumar, R. Sakthivel, O. M. Kwon, B. Kaviarasan, Finite-time mixed H∞ and passive filtering for Takagi-Sugeno fuzzy nonhomogeneous Markovian jump systems, International Journal of Systems Science, 48(7) (2017), 1416-1427. https://doi.org/10.1080/00207721.2016.1261199
[21] S. P. Sathiyapriya, C. Jana, N. Ivkovic, Stability analysis of fuzzy generalized Abel integral equations using homotopy perturbation method, European Journal of Pure and Applied Mathematics, 19(1) (2026), 1-13. https://doi.org/ 10.29020/nybg.ejpam.v19i1.7059
[22] H. Shen, L. Su, J. H. Park, Extended passive filtering for discrete-time singular Markov jump systems with time varying delays, Signal Processing, 128 (2016), 68-77. https://doi.org/10.1016/j.sigpro.2016.03.011
[23] Y. Shi, Y. Tang, S. Li, Finite-time control for discrete time-varying systems with randomly occurring non-linearity and missing measurements, IET Control Theory and Applications, 11 (2017), 838-845. https://doi.org/10.1049/ iet-cta.2016.1367
[24] X. Su, P. Shi, L. Wu, Y. D. Song, Fault detection filtering for nonlinear switched stochastic systems, IEEE Trans actions on Automatic Control, 61(5) (2016), 1310-1315. https://doi.org/10.1109/TAC.2015.2465091
[25] X. Su, F. Xia, J. Liu, L. Wu, Event-triggered fuzzy control of nonlinear systems with its application to inverted pendulum systems, Automatica, 94 (2018), 236-248. https://doi.org/10.1016/j.automatica.2018.04.025
[26] Z. Sun, S. S. Ge, Switched linear systems: Control and design, Springer-Verlag, London, 2005. https://doi.org/ 10.1007/1-84628-131-8
[27] M. Syed Ali, et al., Event-triggered H∞ filtering for TS fuzzy discrete-time conic-type nonlinear networked control systems, Iranian Journal of Fuzzy Systems, 21(3) (2024), 137-154. https://doi.org/10.22111/ijfs.2024.46459. 8184
[28] S. Wang, J. Feng, H. Zhang, Robust fault tolerant control for a class of networked control systems with state delay and stochastic actuator failures, International Journal of Adaptive Control and Signal Processing, 28(9) (2014), 798-811. https://doi.org/10.1002/acs.2372
[29] J. Wang, S. Ma, C. Zhang, Finite-time stabilization for nonlinear discrete-time singular Markov jump systems with piecewise-constant transition probabilities subject to average dwell time, Journal of the Franklin Institute, 354(5) (2017), 2102-2124. https://doi.org/10.1016/j.jfranklin.2017.01.014
[30] G. Wang, R. Xie, H. Zhang, et al., Robust exponential H∞ filtering for discrete-time switched fuzzy systems with time-varying delay, Circuits, Systems, and Signal Processing, 35 (2016), 117-138. https://doi.org/10.1007/ s00034-015-0062-0
[31] C. Wu, J. Liu, X. Jing, et al., Adaptive fuzzy control for nonlinear networked control systems, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 47(8) (2017), 2420-2430. https://doi.org/10.1109/TSMC.2017. 2678760
[32] Z. G. Wu, J. H. Park, H. Su, et al., Mixed H∞ and passive filtering for singular systems with time delays, Signal Processing, 93(7) (2013), 1705-1711. https://doi.org/10.1016/j.sigpro.2013.01.003
[33] Y. Xia, J. He, H. K. Lam, et al., Non-fragile fuzzy control of input-saturated systems with global prescribed performance via an error-triggered mechanism, Information Sciences, 711 (2025), 122111. https://doi.org/10.1016/ j.ins.2025.122111
[34] H. Yan, F. Qian, F. Yang, H. Shi, H∞ filtering for nonlinear networked systems with randomly occurring distributed delays, missing measurements and sensor saturation, Information Sciences, 370-371(6) (2015), 772-782. https://doi.org/10.1016/j.ins.2015.09.027
[35] H. Yang, P. Shi, X. Li, Z. Li, Fault-tolerant control for a class of T-S fuzzy systems via delta operator approach, Signal Processing, 98 (2014), 166-173. https://doi.org/10.1016/j.sigpro.2013.11.005
[36] S. Zhang, Z. Wang, D. Ding, et al., Non-fragile H∞ fuzzy filtering with randomly occurring gain variations and channel fadings, IEEE Transactions on Fuzzy Systems, 24(3) (2016), 505-518. https://doi.org/10.1109/TFUZZ. 2015.2446509
[37] Y. Zhao, J. Wang, F. Yan, Y. Shen, Adaptive sliding mode fault-tolerant control for type-2 fuzzy systems with distributed delays, Information Sciences, 473 (2019), 227-238. https://doi.org/10.1016/j.ins.2018.09.002
[38] Q. Zheng, H. Zhang, H∞ filtering for a class of nonlinear switched systems with stable and unstable subsystems, Signal Processing, 141(C) (2017), 240-248. https://doi.org/10.1016/j.sigpro.2017.06.021
Iranian Journal of Fuzzy Systems
Volume 23, Issue 6
November and December 2026
Pages 113-137

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