Skip to main content
Log in

Finite-time non-fragile filtering for nonlinear networked control systems via a mixed time/event-triggered transmission mechanism

  • Published:
Control Theory and Technology Aims and scope Submit manuscript

Abstract

This paper is aimed at investigating the problem of mixed time/event-triggered finite-time non-fragile filtering for nonlinear networked control systems with delay. First, a fuzzy nonlinear networked control system model is established by interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy model, the designed non-fragile filter resolves the filter parameter uncertainties and uses different membership functions from the IT2 T-S fuzzy model. Second, a novel mixed time/event-triggered transmission mechanism is proposed, which decreases the waste of network resources. Next, Bernoulli random variables are used to describe the cases of random switching mixed time/event-triggered transmission mechanism. Then, the error filtering system is designed by considering a Lyapunov function and a sufficient condition of finite-time boundedness. In addition, the existence conditions for the finite-time non-fragile filter are given by the linear matrix inequalities (LMIs). Finally, two simulation results are presented to prove the effectiveness of the obtained method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. J. Park, O. M. Kwon, J. H. Ryu. Generalized integral inequality: Application to time-delay systems. Applied Mathematics Letters, 2018, 77: 6–12.

    Article  MathSciNet  Google Scholar 

  2. M. Zhang, P. Shi, Z. Liu, et al. H filtering for discrete-time witched fuzzy systems with randomly occurring time-varying delay and packet dropouts. Signal Processing, 2018, 143: 320–327.

    Article  Google Scholar 

  3. X. Xiao, J. H. Park, L. Zhou. Event-triggered control of discretetime switched linear systems with packet losses. Applied Mathematics and Computation, 2018, 333: 344–3528.

    Article  MathSciNet  Google Scholar 

  4. H. Zhang, H. Zhang. Kalman federal filtering algorithm of UAV fault-tolerant integrated navigation. International Journal of Applied Mathematics in Control Engineering, 2019, 2(1): 100–106.

    Google Scholar 

  5. T. Takagi, M. Sugeno. Fuzzy identification of systems and its applications to modelling and control. IEEE Transactions on Systems, Man and Cybernetics, 1985, 15(1): 116–132.

    Article  Google Scholar 

  6. J. Liu, Q. Liu, J. Cao, et al. Adaptive event-triggered H filtering for T-S fuzzy system with time delay. Neurocomputing, 2016, 189: 86–94.

    Article  Google Scholar 

  7. C. Han, L. Wu, H. K. Lam, et al. Nonfragile control with guaranteed cost of T-S fuzzy singular systems based on parallel distributed compensation. IEEE Transactions on Fuzzy Systems, 2014, 22(5): 1183–1196.

    Article  Google Scholar 

  8. H. Li, C. Wu, S. Yin, et al. Observer-based fuzzy control for nonlinear networked systems under unmeasurable premise variables. IEEE Transactions on Fuzzy Systems, 2015, 24(5): 1233–1245.

    Article  Google Scholar 

  9. M. Liu, A. X. Pang, A. P. Pang, et al. Delay-range-dependent robust H control method for a linear parameter varying uncertain system with actuator saturation and state delay. International Journal of Applied Mathematics in Control Engineering, 2018, 2: 47–54.

    Google Scholar 

  10. J. Qiu, H. Gao, S. Ding. Recent advances on fuzzy-model-based nonlinear networked control systems: A survey. IEEE Transactions on Industrial Electronics, 2015, 63(2): 1207–1217.

    Article  Google Scholar 

  11. T. Youssef, M. Chadli, H. R. Karimi, et al. Actuator and sensor faults estimation based on proportional integral observer for TS fuzzy model. Journal of the Franklin Institute, 2017, 354(6): 2524–2542.

    Article  MathSciNet  Google Scholar 

  12. H. Xiao, Y. He, M. Wu, et al. New results on tracking control based on the T-S fuzzy model for sampled-data networked control system. IEEE Transactions on Fuzzy Systems, 2015, 23(6): 2439–2448.

    Article  Google Scholar 

  13. D. Zhang, F. Yang, C. Yu, et al. Robust fuzzy-model-based filtering for nonlinear networked systems with energy constraints. Journal of the Franklin Institute, 2017, 354(4): 1957–1973.

    Article  MathSciNet  Google Scholar 

  14. J. Liu, L. Zha, X. Xie, et al. Resilient observer-based control for networked nonlinear T-S fuzzy systems with hybrid-triggered scheme. Nonlinear Dynamics, 2018, 91(3): 2049–2061.

    Article  Google Scholar 

  15. X. Li. W. Wang, J. Xu, et al. A Stackelberg strategy for continuous-time mixed H2/H control problem with time delay. Control Theory and Technology, 2018, 16(3): 191–202.

    Article  MathSciNet  Google Scholar 

  16. M. Hirata, S. Ishizuki, M. Suzuki. Two-degree-of-freedom H control of combustion in diesel engine using a discrete dynamics mode. Control Theory and Technology, 2017, 15(2): 109–116.

    Article  MathSciNet  Google Scholar 

  17. H. K. Lam. Stability analysis of T-S fuzzy control systems using parameter-dependent Lyapunov function. IET Control Theory and Applications, 2009, 3(6): 750–762.

    Article  MathSciNet  Google Scholar 

  18. X. Xu, H. Yan, H. Zhang, et al. H filtering for T-S fuzzy networked systems with stochastic multiple delays and sensor faults. Neurocomputing, 2016, 207: 590–598.

    Article  Google Scholar 

  19. M. Wang, J. Qiu, G. Feng. Event-triggered state estimation for TS fuzzy affine systems based on piecewise Lyapunov-Krasovskii functionals. Control Theory and Technology, 2019, 17(1): 99–111.

    Article  MathSciNet  Google Scholar 

  20. J. Liu, Y. Zhang, Y. Yu, et al. Fixed-time event-triggered consensus for nonlinear multi-agent systems without continuous communications. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2019, 49(11): 2221–2229.

    Article  Google Scholar 

  21. G. Ran, Z. Lu, F. Xu, et al. Event-triggered dynamic output feedback control for networked T-S fuzzy systems with asynchronous premise variables. IEEE Access, 2018, 6: 78740–78750.

    Article  Google Scholar 

  22. Z. Lu, G. Ran, F. Xu, et al. Novel mixed-triggered filter design for interval type-2 fuzzy nonlinear Markovian jump systems with randomly occurring packet dropouts. Nonlinear Dynamics, 2019, 97(2): 1525–1540.

    Article  Google Scholar 

  23. J. Liu, Y. Zhang, Y. Yu, et al. Fixed-time leader-follower consensus of networked nonlinear systems via event/self-triggered control. IEEE Transactions on Neural Networks and Learning Systems, 2020: DOI https://doi.org/10.1109/TNNLS.2019.2957069.

    Google Scholar 

  24. H. Wang, P. Shi, J. Zhang. Event-triggered fuzzy filtering for a class of nonlinear networked control systems. Signal Processing, 2015, 113: 159–168.

    Article  Google Scholar 

  25. Yang. M, Peng. C, Li. G, et al. Event-triggered H control for active semi-vehicle suspension system with communication constraints. Information Sciences, 2019, 486: 101–113.

    Article  MathSciNet  Google Scholar 

  26. P. Shi, H. Wang, C. Lim. Network-based event-triggered control for singular systems with quantizations. IEEE Transactions on Industrial Electronics, 2016, 63(2): 1230–1238.

    Article  Google Scholar 

  27. Z. Lu, G. Ran, G. Zhang, et al. Event-based nonfragile H filter design for networked control systems with interval time-varying delay. Journal of Control Science and Engineering, 2018, 2018: DOI https://doi.org/10.1155/2018/4541586.

    Google Scholar 

  28. H. Wang, P. Shi, R. K. Agarwal. Network-based event-triggered filtering for Markovian jump systems. International Journal of Control, 2016, 89(6): 1096–1110.

    Article  MathSciNet  Google Scholar 

  29. J. Cheng, J. H. Park, L. Zhang, et al. An asynchronous operation approach to event-triggered control for fuzzy Markovian jump systems with general switching policies. IEEE Transactions on Fuzzy Systems, 2018, 26(1): 6–18.

    Article  Google Scholar 

  30. D. Yue, E. Tian, Q. Han. A delay system method for designing event-triggered controllers of networked control systems. IEEE Transactions on Automatic Control, 2013, 58(2): 475–481.

    Article  MathSciNet  Google Scholar 

  31. J. Cheng, J. H. Park, Y. Liu, et al. Finite-time H fuzzy control of nonlinear Markovian jump delayed systems with partly uncertain transition descriptions. Fuzzy Sets and Systems, 2017, 314: 99–115.

    Article  MathSciNet  Google Scholar 

  32. S. Sui, S. Tong, C. Chen. Finite-time filter decentralized control for nonstrict-feedback nonlinear large-scale systems. IEEE Transactions on Fuzzy Systems, 2018, 26(6): 3289–3300.

    Article  Google Scholar 

  33. Q. Chen, Y. Wang, Z. Hu. Finite time synergetic control for quadrotor UAV with disturbance compensation. International Journal of Applied Mathematics in Control Engineering, 2018, 1: 31–38.

    Google Scholar 

  34. S. Wen, D. Liu, X. Wang. Finite-time stability of fractional order neural networks with proportional delays. International Journal of Applied Mathematics in Control Engineering, 2018, 2: 1–8.

    Google Scholar 

  35. P. Dorato. Short-time stability in linear time-varying systems. Proceedings of the IRE International Convention Record, New York, 1961: 83–87.

    Google Scholar 

  36. F. Amato, M. Ariola, P. Dorato. Finite-time control of linear systems subject to parametric uncertainties and disturbances. Automatica, 2001, 37(9): 1459–1463.

    Article  Google Scholar 

  37. Z. Zhang, H. Zhang, P. Shi, et al. Finite-time filtering for T-S fuzzy discrete-time systems with time-varying delay and norm-bounded uncertainties. IEEE Transactions on Fuzzy Systems, 2015, 23(6): 2427–2434.

    Article  Google Scholar 

  38. S. Vimal. Kumar, R. Sakthivel, M. Sathishkumar, et al. Finite time passive reliable filtering for fuzzy systems with missing measurements. Journal of Dynamic Systems, Measurement, and Control-Transactions of the ASME, 2018, 140(8): 1–13.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhongda Lu.

Additional information

This work was supported by in part by the Science and Technology projects of the State Grid Heilongjiang Electric Power Co., Ltd. (No. 52243718001b) and the Fundamental Research Funds in Heilongjiang Provincial Universities (No. 135309372).

Zhongda LU received his B.E. degree in Automation from the Qiqihar University, Qiqihar, China in 1993, and M.Sc. degree in Communication and Information System from the Harbin Engineering University, Harbin, China in 2007, and Ph.D. in Computer Application Technology from the Harbin University of Science and Technology, Harbin, China in 2019. He is working as a Professor in the Qiqihar University. His research interests include nonlinear system, robot control, pattern recognition and mechatronics.

Junxiao LU received the B.E. degree in Automation from Qiqihar University, Qiqihar, China, in 2017, where he is currently pursuing the M.Sc. degree. His research interests include Internet of things application, nonlinear networked control systems, and fuzzy control.

Jiaqi ZHANG received the B.E. degree in Automation from Qiqihar University, Qiqihar, China, in 2018, where he is currently pursuing the M.Sc. degree. His research interests include Internet of things application, intelligent electric meters, nonlinear networked control systems, and neural network algorithm.

Fengxia XU received the B.E. degree in Automation from Qiqihar University, Qiqihar, China, in 1993, and the M.Sc. and Ph.D. degrees in Control Science and Control Engineering from the Harbin Institute of Technology, Harbin, China, in 2002 and 2006, respectively. She is currently a Professor and the Dean with the College of Mechanical and Electrical Engineering, Qiqihar University. Her research interests include networked control systems, descriptor systems, and nonlinear control.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lu, Z., Lu, J., Zhang, J. et al. Finite-time non-fragile filtering for nonlinear networked control systems via a mixed time/event-triggered transmission mechanism. Control Theory Technol. 18, 168–181 (2020). https://doi.org/10.1007/s11768-020-0011-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11768-020-0011-8

Keywords

Navigation