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Asynchronous Event-Triggered Finite-Time Filtering for Networked Switched T–S Fuzzy Systems

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Abstract

This paper investigates the problem of event-triggered finite-time robust filtering for a class of networked switched T–S fuzzy systems. By adopting the extended dissipative performance index, the \(H_{\infty }\) and \(L_{2 }-L_{\infty }\) filtering problems can be solved in a unified framework. We propose an event-triggered scheme to save the network resources. Under the event-triggered scheme, the filter is not synchronized with the corresponding subsystem. By constructing a reasonable Lyapunov–Krasovskii function, we give sufficient conditions for the finite-time extended dissipative of the filtering error system. We employ the T–S fuzzy models to represent the nonlinear subsystems. The filter gains can be obtained by solving some matrix inequalities. Finally, an example is presented to show the efficiency of the method.

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Data Availability Statement

The datasets used in this study are publicly available. The sources are mentioned in the reference section

References

  1. X.H. Chang, G.H. Yang, Nonfragile \(H_\infty \) filtering of continuous-time fuzzy systems. IEEE Trans. Signal Process. 59(4), 1528–1538 (2011)

    Article  MathSciNet  Google Scholar 

  2. X.H. Chang, Robust nonfragile \(H_\infty \) filtering of fuzzy systems with linear fractional parametric uncertainties. IEEE Trans. Fuzzy Syst. 20(6), 1001–1011 (2012)

    Article  Google Scholar 

  3. X.H. Chang, G.H. Yang, Nonfragile \(H_\infty \) filter design for T-S fuzzy systems in standard form. IEEE Trans. Ind. Electron. 61(7), 3448–3458 (2014)

    Article  Google Scholar 

  4. J. Cheng, J.H. Park, Y.J. Liu, Z.J. Liu, L.M. Tang, Finite-time \(H_{\infty }\) fuzzy control of nonlinear Markovian jump delayed systems with partly uncertain transition descriptions. Fuzzy Set Syst. 314, 99–115 (2017)

    Article  Google Scholar 

  5. J. Cheng, J.H. Park, X. Zhao, H.R. Karimi, J. Cao, Quantized nonstationary filtering of network-based Markov switching RSNSs: a multiple hierarchical structure strategy. IEEE Trans. Autom. Control (2019). https://doi.org/10.1109/TAC.2019.2958824

    Article  MATH  Google Scholar 

  6. J. Cheng, J.H. Park, X. Zhao, J. Cao, W. Qi, Static output feedback control of switched systems with quantization: a nonhomogeneous sojourn probability approach. Int. J. Robust Nonlinear Control. 29, 5992–6005 (2019)

    Article  MathSciNet  Google Scholar 

  7. J. Cheng, Y. Zhan, Nonstationary \(l_{2}-l_{\infty }\) filtering for Markov switching repeated scalar nonlinear systems with randomly occurring nonlinearities. Appl. Math. Comput. 365, 124714 (2020)

    MathSciNet  MATH  Google Scholar 

  8. Z.Y. Fei, C.X. Guan, X.D. Zhao, Event-triggered dynamic output feedback control for switched systems with frequent asynchronism. IEEE Trans. Autom. Control 65(7), 3120–3127 (2020)

    Article  MathSciNet  Google Scholar 

  9. Z.Y. Fei, S. Shi, Z.H. Wang, L.G. Wu, Quasi-time-dependent output control for discrete-time switched system with mode dependent average dwell time. IEEE Trans. Autom. Control. 63(8), 2647–2653 (2018)

    Article  MathSciNet  Google Scholar 

  10. Z.Y. Fei, S. Shi, C. Zhao, Y.L. Xu, Asynchronous control for 2-D switched systems with mode-dependent average dwell time. Automatica 79, 198–206 (2017)

    Article  MathSciNet  Google Scholar 

  11. Y.G. Hong, Z.P. Jiang, Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainty. IEEE Trans. Autom. Control 12, 1950–1956 (2006)

    Article  Google Scholar 

  12. S. He, F. Liu, Robust \(L_{2 }-L_{\infty }\) filtering of time-delay jump systems with respect to the finite-time interval. Math. Probl. Eng. 839648, 17 (2011)

    MATH  Google Scholar 

  13. X.Q. Huang, W. Lin, B. Yang, Global finite-time stabilization of a class of uncertain nonlinear systems. Automatica 41, 881–888 (2005)

    Article  MathSciNet  Google Scholar 

  14. S. Liang, G. Zhao, H. Li, X. Ding, Structural stability analysis of gene regulatory networks modeled by Boolean networks. Math. Methods Appl. Sci. 42(7), 2221–2230 (2019)

    Article  MathSciNet  Google Scholar 

  15. Y.A. Liu, J.W. Xia, B. Meng, X.N. Song, H. Shen, Extended dissipative synchronization for semi-Markov jump complex dynamic networks via memory sampled-data control scheme. J. Franklin Inst. 357, 10900–10920 (2020)

    Article  MathSciNet  Google Scholar 

  16. Y. Liu, Y. Zheng, H. Li, F.E. Alsaadi, B. Ahmad, Control design for output tracking of delayed Boolean control networks. J. Comput. Appl. Math. 327, 188–195 (2018)

    Article  MathSciNet  Google Scholar 

  17. H. Li, Y. Zheng, F.E. Alsaadi, Algebraic formulation and topological structure of Boolean networks with state-dependent delay. J. Comput. Appl. Math. 350, 87–97 (2019)

    Article  MathSciNet  Google Scholar 

  18. H. Li, X. Xu, X. Ding, Finite-time stability analysis of stochastic switched Boolean networks with impulsive effect. Appl. Math. Comput. 347, 557–565 (2019)

    MathSciNet  MATH  Google Scholar 

  19. H. Li, S. Wang, X. Li, G. Zhao, Perturbation analysis for controllability of logical control networks. SIAM J. Control Optim. (2020). https://doi.org/10.1137/19M1281332

    Article  MathSciNet  MATH  Google Scholar 

  20. H. Li, X. Ding, Q. Yang, Y. Zhou, Algebraic formulation and Nash equilibrium of competitive diffusion games. Dyn. Games Appl. 8, 423–433 (2018)

    Article  MathSciNet  Google Scholar 

  21. X. Li, H. Li, Y. Li, X. Yang, Function perturbation impact on stability in distribution of probabilistic Boolean networks. Math. Comput. Simul. 177, 1–12 (2020)

    Article  MathSciNet  Google Scholar 

  22. P.G. Park, J.W. Ko, C. Jeong, Reciprocally convex approach to stability of systems with time-varying delays. Automatica 47(1), 235–238 (2011)

    Article  MathSciNet  Google Scholar 

  23. H.L. Ren, G.D. Zong, T.S. Li, Event-triggered finite-time control for networked switched linear systems with asynchronous switching. IEEE Trans. Syst. Man Cybern. 48(11), 1874–1884 (2018)

    Article  Google Scholar 

  24. H.L. Ren, G.D. Zong, H.R. Karimi, Asynchronous finite-time filtering of networked switched systems and its application: an event-driven method. IEEE Trans. Circuits Syst. I Reg. Pap. 66(1), 391–402 (2019)

  25. H.L. Ren, G.D. Zong, C.K. Ahn, Event-triggered finite-time resilient control for networked switched systems: an observer-based approach and its applications in a boost converter circuit system model. Nonlinear Dyn. 94(4), 2409–2421 (2018)

    Article  Google Scholar 

  26. Y.M. Sun, J.Y. Yu, Z.C. Li, Event-triggered finite-time robust filtering for a class of state-dependent uncertain systems with network transmission delay. IEEE Trans. Circuits Syst. I Reg. Pap. 66(3), 1076–1089 (2019)

  27. J. Wang, J.W. Xia, H. Shen, M.P. Xing, J.H. Park, \(H_{\infty }\) synchronization for fuzzy markov jump chaotic systems with piecewise-constant transition probabilities subject to PDT switching rule. IEEE Trans. Fuzzy Syst. (2020). https://doi.org/10.1109/TFUZZ.2020.3012761

    Article  Google Scholar 

  28. J. Wang, Z.G. Huang, Z.G. Wu, J.D. Cao, H. Shen, Extended dissipative control for singularly perturbed PDT switched systems and its application. IEEE Trans. Circuits Syst. I Reg. Pap. (2020). https://doi.org/10.1109/TCSI.2020.3022729

  29. Y.D. Wang, X.H. Hu, K.B. Shi, X.N. Song, H. Shen, Network-based passive estimation for switched complex dynamical networks under persistent dwell-time with limited signals. J. Franklin Inst. 357, 10921–10936 (2020)

    Article  MathSciNet  Google Scholar 

  30. S. Wang, T.G. Shi, L.X. Zhang, A. Jasra, M. Zeng, Extended finite-time \(H_{\infty }\) control for uncertain switched linear neutral systems with time-varying delays. Neurocomputing. 152, 377–387 (2015)

    Article  Google Scholar 

  31. X.Q. Xiao, L. Zhou, G. Lu, Event-triggered \(H_{\infty }\) filtering of continuous time switched linear systems. Signal Process. 141, 343–349 (2017)

    Article  Google Scholar 

  32. X.Q. Xiao, J.H. Park, L. Zhou, Event-triggered \(H_{\infty }\) filtering of discrete-time switched linear systems. ISA Trans. 77, 112–121 (2018)

    Article  Google Scholar 

  33. L. Yang, C.X. Guan, Z.Y. Fei, Finite-time asynchronous filtering for switched linear systems with an event-triggered mechanism. J. Franklin Inst. (2019). https://doi.org/10.1016/j.jfranklin.2019.03.019

    Article  MathSciNet  MATH  Google Scholar 

  34. G. Zhao, S. Liang, H. Li, Stability analysis of activation-inhibition Boolean networks with stochastic function structures. Math. Methods Appl. Sci. 43(15), 8694–8705 (2020)

    Article  MathSciNet  Google Scholar 

  35. G. Zhao, Y. Wang, H. Li, A matrix approach to the modeling and analysis of networked evolutionary games with finite memories. IEEE/CAA J. Autom. Sinica 5(4), 818–826 (2018)

    Article  MathSciNet  Google Scholar 

  36. X.D. Zhao, P. Shi, L.X. Zhang, Asynchronously switched control of a class of slowly switched linear systems. Syst. Control Lett. 61, 1151–1156 (2012)

    Article  MathSciNet  Google Scholar 

  37. B.Y. Zhang, W.X. Zheng, S.Y. Xu, Filtering of Markovian jump delay systems based on a new performance index. IEEE Trans. Circuits Syst. I Reg. Pap. 60, 1250–1263 (2013)

  38. L.X. Zhang, S. Zhuang, R.D. Braatz, Switched model predictive control of switched linear systems: feasibility, stability and robustness. Automatica 67, 8–21 (2016)

    Article  MathSciNet  Google Scholar 

  39. X.-M. Zhang, Q.-L. Han, B.-L. Zhang, An overview and deep investigation on sampled-data-based event-triggered control and filtering for networked systems. IEEE Trans. Ind. Inform. 13(1), 4–16 (2017)

    Article  MathSciNet  Google Scholar 

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Acknowledgements

The work was supported by the National Natural Science Foundation of China (Grants no. 61971100).

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Authors and Affiliations

  1. School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Hui Gao & Hongbin Zhang

  2. School of Information Science and Engineering, Chengdu University, Chengdu, 610106, China

    Kaibo Shi

  3. School of Mathematics Science, University of Jinan, Jinan, 250022, People’s Republic of China

    Hongbo Lv

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  1. Hui Gao
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  2. Kaibo Shi
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Correspondence to Hui Gao.

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Gao, H., Shi, K., Zhang, H. et al. Asynchronous Event-Triggered Finite-Time Filtering for Networked Switched T–S Fuzzy Systems. Circuits Syst Signal Process 40, 4279–4300 (2021). https://doi.org/10.1007/s00034-021-01687-9

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