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Event-Triggered Reliable Dissipative Filtering for Delayed Neural Networks with Quantization

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Abstract

This paper investigates the event-triggered reliable dissipative filtering for delayed neural networks with quantization. First, an event-triggered scheme is introduced to save limited network resources, by which whether or not sampled signals should be transmitted to the quantizer depends on a predefined event-triggered condition. Second, with the event-triggered scheme, a new unified sampled-data filtering error system is established to deal with the issue of dissipative filtering for the neural networks with quantization. Third, by using the Lyapunov–Krasovskii functional method, a sufficient criterion is obtained to ensure asymptotic stability and strict \(({\mathscr {Q}},{\mathscr {S}},{\mathscr {R}})\)-\(\alpha \)-dissipativity for the filtering error system. Then, based on solutions to a set of linear matrix inequalities, both proper event-triggered parameters and filter parameters can be co-designed. Finally, the effectiveness and the superiority of the proposed method are verified by numerical simulation via two examples.

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References

  1. M.S. Ali, R. Saravanakumar, C.K. Ahn, H.R. Karimi, Stochastic \(H_{\infty }\) filtering for neural networks with leakage delay and mixed time-varying delays. Inf. Sci. 388, 118–134 (2017)

    MATH  Google Scholar 

  2. E. Arslan, R. Vadivel, M.S. Ali, S. Arik, Event-triggered \(H_{\infty }\) filtering for delayed neural networks via sampled-data. Neural Netw. 91, 11–21 (2017)

    MATH  Google Scholar 

  3. B. Brogliato, R. Lozano, B. Maschke, O. Egeland, Dissipative Systems Analysis and Control: Theory and Applications (Springer, London, 2007)

    MATH  Google Scholar 

  4. P. Balasubramaniam, M. Kalpana, R. Rakkiyappan, Existence and global asymptotic stability of fuzzy cellular neural networks with time delay in the leakage term and unbounded distributed delays. Circuits Syst. Signal Process. 30, 1595–1616 (2011)

    MathSciNet  MATH  Google Scholar 

  5. G. Chen, Y. Chen, H.B. Zeng, Event-triggered \(H_{\infty }\) filter design for sampled-data system with quantization. ISA Trans. 101, 170–176 (2020)

    Google Scholar 

  6. Y. Chen, G. Chen, Stability analysis of systems with time-varying delay via a novel Lyapunov functional. IEEE/CAA J. Autom. Sinica 6(4), 1068–1073 (2019)

    MathSciNet  Google Scholar 

  7. J. Cheng, J.H. Park, J. Cao, D. Zhang, Quantized \(H_{\infty }\) filtering for switched linear parameter-varying systems with sojourn probabilities and unreliable communication channels. Inf. Sci. 466, 289–302 (2018)

    MATH  Google Scholar 

  8. M. Fu, L. Xie, The sector bound approach to quantized feedback control. IEEE Trans. Autom. Control 50(11), 1698–1711 (2005)

    MathSciNet  MATH  Google Scholar 

  9. Y. He, M.D. Ji, C.K. Zhang, M. Wu, Global exponential stability of neural networks with time-varying delay based on free-matrix-based integral inequality. Neural Netw. 77, 80–86 (2016)

    MATH  Google Scholar 

  10. M.D. Ji, Y. He, M. Wu, C.K. Zhang, Further results on exponential stability of neural networks with time-varying delay. Appl. Math. Comput. 256, 175–182 (2015)

    MathSciNet  MATH  Google Scholar 

  11. H.H. Lian, S.P. Xiao, Z. Wang, X.H. Zhang, H.Q. Xiao, Further results on sampled-data synchronization control for chaotic neural networks with actuator saturation. Neurocomputing 346, 30–37 (2019)

    Google Scholar 

  12. J. Liu, J. Tang, S. Fei, Event-triggered \(H_{\infty }\) filter design for delayed neural network with quantization. Neural Netw. 82, 39–48 (2016)

    MATH  Google Scholar 

  13. Y.J. Liu, B.Z. Guo, J.H. Park, S. Lee, Event-based reliable dissipative filtering for T-S fuzzy systems with asynchronous constraints. IEEE Trans. Fuzzy Syst. 26(4), 2089–2098 (2018)

    Google Scholar 

  14. K. Liu, E. Fridman, K.H. Johansson, Dynamic quantization of uncertain linear networked control systems. Automatica 59, 248–255 (2015)

    MathSciNet  MATH  Google Scholar 

  15. L. Ma, Z. Wang, Q.L. Han, H.K. Lam, Envelope-constrained \(H_{\infty }\) filtering for nonlinear systems with quantization effects: the finite horizon case. Automatica 93, 527–534 (2018)

    MathSciNet  MATH  Google Scholar 

  16. L. Ma, Z. Wang, Q.L. Han, Y. Liu, Dissipative control for nonlinear Markovian jump systems with actuator failures and mixed time-delays. Automatica 98, 358–362 (2018)

    MathSciNet  MATH  Google Scholar 

  17. H. Pan, W. Sun, Nonlinear output feedback finite-time control for vehicle active suspension systems. IEEE Trans. Ind. Inform. 15(4), 2073–2082 (2018)

    Google Scholar 

  18. H. Pan, X. Jing, W. Sun, Z. Li, Analysis and design of a bioinspired vibration sensor system in noisy environment. IEEE/ASME Trans. Mech. 23(2), 845–855 (2018)

    Google Scholar 

  19. C. Peng, T.C. Yang, Event-triggered communication and \(H_{\infty }\) control co-design for networked control systems. Automatica 49(5), 1326–1332 (2013)

    MathSciNet  MATH  Google Scholar 

  20. A. Seuret, F. Gouaisbaut, Hierarchy of LMI conditions for the stability analysis of time-delay systems. Syst. Control Lett. 81, 1–7 (2015)

    MathSciNet  MATH  Google Scholar 

  21. L. Su, G. Chesi, Robust stability of uncertain linear systems with input and output quantization and packet loss. Automatica 87, 267–273 (2018)

    MathSciNet  MATH  Google Scholar 

  22. Y. Tan, D. Du, Q. Qi, State estimation for Markovian jump systems with an event-triggered communication scheme. Circuits Syst. Signal Process. 36(1), 2–24 (2017)

    MathSciNet  MATH  Google Scholar 

  23. J. Wang, X.M. Zhang, Q.L. Han, Event-triggered generalized dissipativity filtering for neural networks with time-varying delays. IEEE Trans. Neural Netw. Learn. Syst. 27(1), 77–88 (2016)

    MathSciNet  Google Scholar 

  24. L. Wang, Z. Wang, G. Wei, F.E. Alsaadi, Finite-time state estimation for recurrent delayed neural networks with component-based event-triggering protocol. IEEE Trans. Neural Netw. Learn. Syst. 29(4), 1046–1057 (2018)

    Google Scholar 

  25. W. Wang, H.B. Zeng, K.L. Teo, Free-matrix-based time-dependent discontinuous Lyapunov functional for synchronization of delayed neural networks with sampled-data control. Chin. Phys. B 26(11), 110503 (2017)

    Google Scholar 

  26. Y. Wang, L. Xie, C. Souza, Robust control of a class of uncertain nonlinear systems. Syst. Control Lett. 19(2), 139–149 (1992)

    MathSciNet  MATH  Google Scholar 

  27. J.C. Willems, Dissipative dynamical systems part II: linear systems with quadratic supply rates. Arch. Ration. Mech. Anal. 45(5), 352–393 (1972)

    MATH  Google Scholar 

  28. H.C. Yan, J. Sun, H. Zhang, X. Zhan, F. Yang, Event-triggered \(H_{\infty }\) state estimation of 2-DOF quarter-car suspension systems with nonhomogeneous Markov switching. IEEE Trans. Syst. Man Cyber. Syst. (2018). https://doi.org/10.1109/TSMC.2018.2852688

  29. H.C. Yan, C.Y. Hu, H. Zhang, H.R. Karimi, X.W. Jiang, M. Liu, \(H_{\infty }\) output tracking control for networked systems with adaptively adjusted event-triggered scheme. IEEE Trans. Syst. Man Cyber. Syst. 49(10), 2050–2058 (2019)

    Google Scholar 

  30. H.C. Yan, J.N. Wang, H. Zhang, H. Shen, X.S. Zhan, Event-based security control for stochastic networked systems subject to attacks. IEEE Trans. Syst. Man Cyber. Syst. (2018). https://doi.org/10.1109/TSMC.2018.2856819

  31. H.C. Yan, Y.X. Tian, H.Y. Li, H. Zhang, Z.C. Li, Input-output finite-time mean square stabilisation of nonlinear semi-Markovian jump systems. Automatica 104, 82–89 (2019)

    MATH  Google Scholar 

  32. R.H. Yang, H. Zhang, G. Feng, H.C. Yan, Z.P. Wang, Robust cooperative output regulation of multi-agent systems via adaptive event-triggered control. Automatica 102, 129–136 (2019)

    MathSciNet  MATH  Google Scholar 

  33. D. Yue, E. Tian, Q.L. Han, A delay system method for designing event-triggered controllers of networked control systems. IEEE Trans. Autom. Control 58(2), 475–481 (2013)

    MathSciNet  MATH  Google Scholar 

  34. H.B. Zeng, K.L. Teo, Y. He, H. Xu, W. Wang, Sampled-data synchronization control for chaotic neural networks subject to actuator saturation. Neurocomputing 260, 25–31 (2017)

    Google Scholar 

  35. H.B. Zeng, Y. He, P. She, M. Wu, S.P. Xiao, Dissipativity analysis of neural networks with time-varying delays. Neurocomputing 168, 741–746 (2015)

    Google Scholar 

  36. H.B. Zeng, J.H. Park, C.F. Zhang, W. Wang, Stability and dissipativity analysis of static neural networks with interval time-varying delay. J. Frankl. Inst. 352(3), 1284–1295 (2015)

    MathSciNet  MATH  Google Scholar 

  37. H.B. Zeng, K.L. Teo, Y. He, W. Wang, Sampled-data-based dissipative control of T-S fuzzy systems. Appl. Math. Model. 65, 415–427 (2019)

    MathSciNet  MATH  Google Scholar 

  38. H.B. Zeng, K.L. Teo, Y. He, A new looped-functional for stability analysis of sampled-data systems. Automatica 82, 328–331 (2017)

    MathSciNet  MATH  Google Scholar 

  39. H.B. Zeng, Z.L. Zhai, Y. He, K.L. Teo, W. Wang, New insights on stability of sampled-data systems with time-delay. Appl. Math. Comput. 374, 125041 (2020)

    MathSciNet  MATH  Google Scholar 

  40. C.K. Zhang, Y. He, L. Jiang, Q.G. Wang, M. Wu, Stability analysis of discrete-time neural networks with time-varying delay via an extended reciprocally convex matrix inequality. IEEE Trans. Cybern. 47(10), 3040–3049 (2017)

    Google Scholar 

  41. C.K. Zhang, Y. He, L. Jiang, M. Wu, Stability analysis for delayed neural networks considering both conservativeness and complexity. IEEE Trans. Neural Netw. Learn. Syst. 27(7), 1486–1501 (2016)

    MathSciNet  Google Scholar 

  42. H. Zhang, Z.P. Wang, H.C. Yan, F.W. Yang, X. Zhou, Adaptive event-triggered transmission scheme and \(H_{\infty }\) filtering co-design over a filtering network with switching topology. IEEE Trans. Cyber. 49(12), 4296–4307 (2019)

    Google Scholar 

  43. X.M. Zhang, Q.L. Han, A decentralized event-triggered dissipative control scheme for systems with multiple sensors to sample the system outputs. IEEE Trans. Cybern. 46(12), 2745–2757 (2016)

    Google Scholar 

  44. X.M. Zhang, Q.L. Han, Z. Zeng, Hierarchical type stability criteria for delayed neural networks via canonical Bessel-Legendre inequalities. IEEE Trans. Cybern. 48(5), 1660–1671 (2018)

    Google Scholar 

  45. X.M. Zhang, Q.L. Han, J. Wang, Admissible delay upper bounds for global asymptotic stability of neural networks with time-varying delays. IEEE Trans. Neural Netw. Learn. Syst. 29(11), 5319–5329 (2018)

    MathSciNet  Google Scholar 

  46. X.M. Zhang, Q.L. Han, Global asymptotic stability analysis for delayed neural networks using a matrix-based quadratic convex approach. Neural Netw. 54, 57–69 (2014)

    MATH  Google Scholar 

  47. X.M. Zhang, Q.L. Han, X. Ge, D. Ding, An overview of recent developments in Lyapunov–Krasovskii functionals and stability criteria for recurrent neural networks with time-varying delays. Neurocomputing 313, 392–401 (2018)

    Google Scholar 

  48. Z.M. Zhang, Y. He, M. Wu, Q.G. Wang, Exponential synchronization of neural networks with time-varying delays via dynamic intermittent output feedback control. IEEE Trans. Syst. Man Cybern. Syst. 49(3), 612–622 (2019)

    Google Scholar 

  49. L. Zhou, J. She, S. Zhou, C. Li, Compensation for state-dependent nonlinearity in a modified repetitive-control system. Int. J. Robust Nonlinear Control 28(1), 213–226 (2018)

    MathSciNet  MATH  Google Scholar 

  50. L. Zhou, J. She, X. Zhang, Z. Cao, Z. Zhang, Performance enhancement of RCS and application to tracking control of chuck-workpiece systems. IEEE Trans. Ind. Electron. 67(5), 4056–4065 (2020)

    Google Scholar 

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 61741308, 61703153), the Natural Science Foundation of Hunan Province (Grant Nos. 2018JJ4075, 2020JJ2013), and the Scientific Research Fund of Hunan Provincial Education Department (Grant Nos. 19B149, 19C0582).

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Correspondence to Wei Wang.

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Chen, G., Chen, Y., Wang, W. et al. Event-Triggered Reliable Dissipative Filtering for Delayed Neural Networks with Quantization. Circuits Syst Signal Process 40, 648–668 (2021). https://doi.org/10.1007/s00034-020-01509-4

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