Skip to main content
SpringerLink
Log in

Real-Time Reachable Set Synthesis of Takagi–Sugeno Fuzzy Uncertain Singular Systems Based on Adaptive Event-Triggered Scheme

  • Published:
International Journal of Fuzzy Systems Aims and scope Submit manuscript

Abstract

In this paper, the problem of real-time reachable set synthesis for a type of Takagi–Sugeno fuzzy uncertain singular systems founded on an adaptive event-triggered strategy is discussed. Firstly, based on the adaptive event-triggered strategy, a proportional and differential feedback controller is designed to transform the singular system into a normal system to ensure the admissibility of the system. Secondly, combined with Lyapunov stability theory, the sufficient conditions of reachable set boundary are given in the form of linear matrix inequality, and the stability of closed-loop control system is verified. In addition, the required real-time reachable set boundary data and controller gains are calculated using the matrix decoupling approach. Finally, an actual DC motor model is used in the simulation part to verify the efficacy of the presented approach.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. Cai, X., Shi, K., She, K., Zhong, S., Wang, J., Yan, H.: New results for TS fuzzy systems with hybrid communication delays. Fuzzy Sets Syst. 438, 1–24 (2022)

    Article  MathSciNet  Google Scholar 

  2. Cao, Y., Zhao, N., Xu, N., Zhao, X., Alsaadi, F.E.: Minimal-approximation-based adaptive event-triggered control of switched nonlinear systems with unknown control direction. Electronics 11(20), 3386 (2022)

    Article  Google Scholar 

  3. Chang, X., Qiao, M.Y., Zhao, X.: Fuzzy energy-to-peak filtering for continuous-time nonlinear singular system. IEEE Trans. Fuzzy Syst. 30(7), 2325–2336 (2022)

    Article  Google Scholar 

  4. Chen, H., Zong, G., Gao, F., Shi, Y.: Probabilistic event-triggered policy for extended dissipative finite-time control of mjss under cyber-attacks and actuator failures. IEEE Transactions on Automatic Control (2023)

  5. Chen, H., Zong, G., Zhao, X., Gao, F., Shi, K.: Secure filter design of fuzzy switched cpss with mismatched modes and application: A multidomain event-triggered strategy. IEEE Transactions on Industrial Informatics, https://doi.org/10.1109/TII.2022.3232768 (2023)

  6. Chen, Z., Zhang, B., Stojanovic, V., Zhang, Y., Zhang, Z.: Event-based fuzzy control for T-S fuzzy networked systems with various data missing. Neurocomputing 417, 322–332 (2020)

    Article  Google Scholar 

  7. Cheng, Z., Yue, D., Hu, S., Huang, C., Dou, C., Chen, L.: Resilient load frequency control design: Dos attacks against additional control loop. Int. J. Electrical Power & Energy Syst. 115, 105496 (2020)

    Article  Google Scholar 

  8. Feng, Z., Lam, J.: On reachable set estimation of singular systems. Automatica 52, 146–153 (2015)

    Article  MathSciNet  Google Scholar 

  9. Feng, Z., Yang, Y., Lam, H.K.: Extended-dissipativity-based adaptive event-triggered control for stochastic polynomial fuzzy singular systems. IEEE Trans. Fuzzy Syst. 30(8), 3224–3236 (2022)

    Article  Google Scholar 

  10. Feng, Z., Zhang, H., Zheng, W.X.: PD control-based reachable set synthesis for singular Takagi-Sugeno fuzzy systems with time-varying delay. IEEE Transactions on Cybernetics, https://doi.org/10.1109/TCYB.2022.3210184 (2022)

  11. Ge, X., Han, Q.L., Ding, L., Wang, Y.L., Zhang, X.M.: Dynamic event-triggered distributed coordination control and its applications: A survey of trends and techniques. IEEE Trans. Syst., Man, Cybern.: Syst. 50(9), 3112–3125 (2020)

    Article  Google Scholar 

  12. Guo, F., Luo, M., Cheng, J., Wang, X., Shi, K.: Quantization-based tracking control for fuzzy singularly perturbed Markov jump systems with incomplete transition information and packet dropout. Nonlinear Dyn. 111(10), 9255–9273 (2023)

    Article  Google Scholar 

  13. Hassani, M., Akbarzadeh T, M.R.: Observer-based robust adaptive TS fuzzy control of uncertain systems with high-order input derivatives and nonlinear input-output relationships. International Journal of Fuzzy Systems pp. 1–14 (2023)

  14. He, W., Xu, B., Han, Q.L., Qian, F.: Adaptive consensus control of linear multiagent systems with dynamic event-triggered strategies. IEEE Trans. Cybern. 50(7), 2996–3008 (2020)

    Article  PubMed  Google Scholar 

  15. Huang, S., Zong, G., Wang, H., Zhao, X., Alharbi, K.: Command filter-based adaptive fuzzy self-triggered control for MIMO nonlinear systems with time-varying full-state constraints. Int. J. Fuzzy Syst. (2023). https://doi.org/10.1007/s40815-023-01560-8

    Article  Google Scholar 

  16. Jiang, B., Gao, C., Xie, J.: Passivity based sliding mode control of uncertain singular Markovian jump systems with time-varying delay and nonlinear perturbations. Appl. Math. Comput. 271, 187–200 (2015)

    MathSciNet  Google Scholar 

  17. Jiang, B., Kao, Y., Gao, C., Yao, X.: Passification of uncertain singular semi-Markovian jump systems with actuator failures via sliding mode approach. IEEE Trans. Automatic Control 62(8), 4138–4143 (2017)

    Article  MathSciNet  Google Scholar 

  18. Khattak, S., Hussain, I., Gomez Aguilar, J.F., Jan, R.: Analysis of PD-type iterative learning control for discrete-time singular system. Mathematical Methods in the Applied Sciences (2021)

  19. Li, Q., Shen, B., Wang, Z., Sheng, W.: Recursive distributed filtering over sensor networks on gilbert-elliott channels: A dynamic event-triggered approach. Automatica 113, 108681 (2020)

    Article  MathSciNet  Google Scholar 

  20. Li, Q., Zhang, Q., Yi, N., Yuan, Y.: Robust passive control for uncertain time-delay singular systems. IEEE Trans. Circuits Syst. I: Regular Papers 56(3), 653–663 (2008)

    MathSciNet  Google Scholar 

  21. Liu, Y.C., Zhu, Q.D.: Adaptive neural network asymptotic control design for MIMO nonlinear systems based on event-triggered mechanism. Inf. Sci. 603, 91–105 (2022)

    Article  Google Scholar 

  22. Luo, M., Cheng, J., Shi, K., Hu, C., Lan, J.: Security synchronization protocol for IT2 stochastic fuzzy multiplex complex networks via fuzzy hybrid control. ISA Transactions 118, 94–105 (2021)

    Article  PubMed  Google Scholar 

  23. Luo, M., Cheng, J., Wang, X., Shi, K.: Event-based sliding mode control for fuzzy singular systems with semi-Markovian switching parameters. J. Franklin Inst. 360(3), 1582–1612 (2023)

    Article  MathSciNet  Google Scholar 

  24. Nagamani, G., Joo, Y.H., Soundararajan, G., Mohajerpoor, R.: Robust event-triggered reliable control for TS fuzzy uncertain systems via weighted based inequality. Inf. Sci. 512, 31–49 (2020)

    Article  MathSciNet  Google Scholar 

  25. Niu, B., Zhang, Y., Zhao, X., Wang, H., Sun, W.: Adaptive predefined-time bipartite consensus tracking control of constrained nonlinear MASs: An improved nonlinear mapping function method. IEEE Transactions on Cybernetics, https://doi.org/10.1109/TCYB.2022.3231900,2023 (2023)

  26. Sala, A., Guerra, T.M., Babuška, R.: Perspectives of fuzzy systems and control. Fuzzy Sets Syst. 156(3), 432–444 (2005)

    Article  MathSciNet  Google Scholar 

  27. Sheng, Z., Lin, C., Chen, B., Wang, Q.G.: An asymmetric Lyapunov-Krasovskii functional method on stability and stabilization for TS fuzzy systems with time delay. IEEE Trans. Fuzzy Syst. 30(6), 2135–2140 (2021)

    Article  Google Scholar 

  28. Wang, T., Wang, H., Xu, N., Zhang, L., Alharbi, K.H.: Sliding-mode surface-based decentralized event-triggered control of partially unknown interconnected nonlinear systems via reinforcement learning. Inf. Sci. 641, 119070 (2023)

    Article  Google Scholar 

  29. Wang, X., Cao, Y., Niu, B., Song, Y.: A novel bipartite consensus tracking control for multiagent systems under sensor deception attacks. IEEE Trans. Cybern. (2022). https://doi.org/10.1109/TCYB.2022.3225361

    Article  PubMed  Google Scholar 

  30. Wang, X., Niu, B., Wang, H., Zhao, X., Chen, W.: Prescribed performance-based finite-time consensus technology of nonlinear multiagent systems and application to fdps. IEEE Trans. Circuits Syst. II: Exp. Briefs 70(2), 591–595 (2023)

    Google Scholar 

  31. Wu, L., Zheng, W.X.: Passivity-based sliding mode control of uncertain singular time-delay systems. Automatica 45(9), 2120–2127 (2009)

    Article  MathSciNet  Google Scholar 

  32. Xie, L., Fu, M., de Souza, C.E., et al.: \({H}_{\infty }\) control and quadratic stabilization of systems with parameter uncertainty via output feedback. IEEE Transactions on Automatic Control 37(8), 1253–1256 (1992)

    Article  MathSciNet  Google Scholar 

  33. Zeng, K., Zhang, N.Y., Xu, W.L.: A comparative study on sufficient conditions for Takagi-Sugeno fuzzy systems as universal approximators. IEEE Trans. Fuzzy Syst. 8(6), 773–780 (2000)

    Article  Google Scholar 

  34. Zhang, H., Zhao, N., Wang, S., Agarwal, R.K.: Improved event-triggered dynamic output feedback control for networked T–S fuzzy systems with actuator failure and deception attacks. IEEE Transactions on Cybernetics, https://doi.org/10.1109/TCYB.2023.3264820 (2023)

  35. Zhang, L., Wang, J., Zhao, X., Zhao, N., Sharaf, S.: Event-based reachable set synthesis for continuous delayed fuzzy singularly perturbed systems. IEEE Transactions on Circuits and Systems II: Express Briefs, to be published, https://doi.org/10.1109/TCSII.2023.3294913 (2023)

  36. Zhang, L., Zhang, X., Chang, X., Zhao, N.: Adaptive fault-tolerant control-based real-time reachable set synthesis of heterogeneous nonlinear singular multi-agent systems with uncertain parameters. IEEE Transactions on Automation Science and Engineering, https://doi.org/10.1109/TASE.2023.3298343 (2023)

  37. Zhang, L., Zhao, X., Zhao, N.: Real-time reachable set control for neutral singular Markov jump systems with mixed delays. IEEE Trans. Circuits Syst. II: Express Briefs 69(3), 1367–1371 (2022)

    Google Scholar 

  38. Zhang, L., Zong, G., Zhao, X., Zhao, N., Sharaf, S.: Reachable set control for discrete-time Takagi-Sugeno fuzzy singular Markov jump system. IEEE Transactions on Fuzzy Systems, https://doi.org/10.1109/TFUZZ.2023.3245634 (2023)

  39. Zhang, Z., Wang, X., Xie, W., Zhang, X., Shen, Y.: Reachable set estimation for uncertain linear systems with known inputs. Int. J. Control, Autom. Syst. 18(10), 2445–2455 (2020)

    Article  Google Scholar 

  40. Zhao, J.: Algebraic criteria for reachable set estimation of delayed memristive neural networks. IET Control Theory & Appl. 13(11), 1736–1743 (2019)

    Article  MathSciNet  Google Scholar 

  41. Zhao, J.: Reachable set estimation for discrete-time systems with hybrid time-delays. Optimal Control Appl. Methods 42(6), 1762–1774 (2021)

    Article  ADS  MathSciNet  Google Scholar 

  42. Zhao, N., Zhao, X., Chen, M., Zong, G., Zhang, H.: Resilient distributed event-triggered platooning control of connected vehicles under denial-of-service attacks. IEEE Trans. Intel. Transp. Syst. (2023). https://doi.org/10.1109/TITS.2023.3250402

    Article  Google Scholar 

  43. Zhao, N., Zhao, X., Xu, N., Zhang, L.: Resilient event-triggered control of connected automated vehicles under cyber attacks. IEEE/CAA J. Automatica Sinica (2023). https://doi.org/10.1109/JAS.2023.123483

    Article  Google Scholar 

  44. Zhi, Y.L.: A variable memory state feedback and its application to robust control of uncertain singular time-delay systems. Neural Comput. Appl. 34(3), 2177–2186 (2022)

    Article  Google Scholar 

  45. Zhu, Z.Y., Zhao, Z.S., Zhang, J., Wang, R.K., Li, Z.: Adaptive fuzzy control design for synchronization of chaotic time-delay system. Inf. Sci. 535, 225–241 (2020)

    Article  MathSciNet  Google Scholar 

  46. Zhuang, G., Xia, J., Sun, W., Ma, Q., Wang, Z., Wang, Y.: Normalization and stabilization of neutral descriptor hybrid systems based on PD feedback control. J. Franklin Inst. 357(2), 1070–1089 (2020)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant 62203 065; in part by the Education Department Foundation of Liaoning Province under Grant LJKZ1023; in part by the Applied Basic Research Program of Liaoning Province under Grant 2022JH2/101300282.

Author information

Authors and Affiliations

  1. College of Engineering, Bohai University, Jinzhou, 121013, Liaoning, China

    Xudong Zhang, Liang Zhang & Ning Zhao

  2. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, 116024, Liaoning, China

    Xudong Zhao

  3. Department of Computer Science, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Sanaa Sharaf

Authors
  1. Xudong Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Liang Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xudong Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ning Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Sanaa Sharaf
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Liang Zhang.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, X., Zhang, L., Zhao, X. et al. Real-Time Reachable Set Synthesis of Takagi–Sugeno Fuzzy Uncertain Singular Systems Based on Adaptive Event-Triggered Scheme. Int. J. Fuzzy Syst. 26, 320–330 (2024). https://doi.org/10.1007/s40815-023-01599-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40815-023-01599-7

Keywords

Search

Navigation