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Observer-Based Finite-Time Event-Triggered Control for Stochastic T-S Fuzzy Nonlinear Systems with Time-Varying Delay

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Abstract

This paper concentrates on the issues of input–output finite-time stability (IO-FTS) and finite-time boundedness (FTB) for stochastic Takagi–Sugeno fuzzy nonlinear systems. The novel sufficient criterion regarding IO-FTS and FTB is derived. A state observer is built, which can estimate state that are difficult to measure. Using the constructed state observer and an observer-based event-triggered protocol, the event-triggered controller is constructed. The observer gains and controller gains can be derived from the obtained sufficient conditions. Furthermore, the practicality and feasibility for the presented control scheme are proven using a numerical example and an example of an inverted pendulum on a trolley system.

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References

  1. Zhang, D., Ye, Z., Feng, G., Li, H.: Intelligent event-based fuzzy dynamic positioning control of nonlinear unmanned marine vehicles under DoS attack. IEEE Trans. Cybern. 52(12), 13486–13499 (2021)

    Article  Google Scholar 

  2. Shanmugam, L., Joo, Y.H.: Investigation on stability of delayed TS fuzzy interconnected systems via decentralized memory-based sampled-data control and validation through interconnected power systems with DFIG-based wind turbines. Inf. Sci. 580, 934–952 (2021)

    Article  Google Scholar 

  3. Chang, C., Xing, S., Deng, F., Yue, X.: Dissipative control for T-S fuzzy stochastic descriptor biological economic systems with time-varying delays. Int. J. Fuzzy Syst. 24, 1974–1985 (2022)

    Article  Google Scholar 

  4. Peng, C., Ma, S., Xie, X.: Observer-based non-PDC control for networked T-S fuzzy systems with an event-triggered communication. IEEE Trans. Cybern. 47(8), 2279–2287 (2017)

    Article  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  6. Li, R., Zhang, X.: Adaptive sliding mode observer design for a class of T-S fuzzy descriptor fractional order systems. IEEE Trans. Fuzzy Syst. 28(9), 1951–1959 (2020)

    Article  Google Scholar 

  7. Zhang, X., Zhao, Z.: Normalization and stabilization for rectangular singular fractional order T-S fuzzy systems. Fuzzy Sets Syst. 38, 140–153 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  8. Zhang, X., Huang, W., Wang, Q.: Robust H-infinity adaptive sliding mode fault tolerant control for T-S fuzzy fractional order systems with mismatched disturbances. IEEE Trans. Circuit Syst. I Regul. Pap. 68(3), 1297–1307 (2021)

    Article  Google Scholar 

  9. Aslam, M.S., Tiwari, P., Pandey, H.M., Band, S.S.: Robust stability analysis for class of Takagi-Sugeno (TS) fuzzy with stochastic process for sustainable hypersonic vehicles. Inf. Sci. 641, 119044 (2023)

    Article  Google Scholar 

  10. Xing, S., Zheng, W., Deng, F., Chang, C.: An enhanced input-delay approach to sampled-data stabilization for nonlinear stochastic singular systems based on T-S fuzzy models. IEEE Trans. Fuzzy Syst. 30(8), 2943–2956 (2021)

    Article  Google Scholar 

  11. Sheng, Z., Wang, L., Lin, C., Chen, B.: A novel asymmetric Lyapunov-Krasovskii functional method to stability for T-S fuzzy systems with time-varying delay. Int. J. Fuzzy Syst. 24(2), 949–956 (2022)

    Article  Google Scholar 

  12. Sun, S., Zhang, H., Sun, J., Li, W.: Reliable \({H_\infty }\) guaranteed cost control for uncertain switched fuzzy stochastic systems with multiple time-varying delays and intermittent actuator and sensor faults. Neural Comput. Appl. 33(4), 1343–1365 (2021)

    Article  Google Scholar 

  13. Gao, Y., Liu, C., Duan, D., Zhang, S.: Distributed optimal event-triggered cooperative control for nonlinear multi-missile guidance systems with partially unknown dynamics. Int. J. Robust Nonlinear Control 32(15), 8369–8396 (2022)

    Article  MathSciNet  Google Scholar 

  14. Zhou, B., Huang, B., Mao, L., Zhu, C., Su, Y.: Distributed observer based event-triggered affine formation maneuver control for underactuated surface vessels with positive minimum inter-event times. Int. J. Robust Nonlinear Control 32(14), 7712–7732 (2022)

    Article  MathSciNet  Google Scholar 

  15. Li, X., Zhang, H., Fan, W., Wang, C., Ma, P.: Finite-time control for quadrotor based on composite barrier Lyapunov function with system state constraints and actuator faults. Aerosp. Sci. Technol. 119, 107063 (2021)

    Article  Google Scholar 

  16. Du, F., Lu, J.G.: Finite-time stability of fractional-order fuzzy cellular neural networks with time delays. Fuzzy Sets Syst. 438, 107–120 (2022)

    Article  MathSciNet  MATH  Google Scholar 

  17. Sun, X., Yang, D., Zong, G.: Annular finite-time \({H_\infty }\) control of switched fuzzy systems: a switching dynamic event-triggered control approach. Nonlinear Anal. Hybrid Syst. 41, 101050 (2021)

    Article  MathSciNet  MATH  Google Scholar 

  18. Xu, T., Gao, X., Qi, W.: Finite-time boundedness analysis and composite anti-disturbance control for uncertain semi-Markovian jump systems with time delay. Sci. China Inf. Sci. 65(4), 1–3 (2022)

    Article  MathSciNet  Google Scholar 

  19. Amato, F., Ambrosino, R., Cosentino, C., De Tommasi, G.: Input-output finite time stabilization of linear systems. Automatica 46(9), 1558–1562 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  20. Sang, H., Wang, P., Zhao, Y., Nie, H., Fu, J.: Input-output finite-time stability for switched TS fuzzy delayed systems with time-dependent Lyapunov-Krasovskii functional approach. IEEE Trans. Fuzzy Syst. (2023). https://doi.org/10.1109/TFUZZ.2023.3269425.

    Article  Google Scholar 

  21. Amato, F., Cosentino, C., De Tommasi, G., Pironti, A., Romano, M.: Input-output finite-time stabilization of linear time-varying discrete-time systems. IEEE Trans. Autom. Control 67(9), 4438–4450 (2022)

    Article  MathSciNet  MATH  Google Scholar 

  22. Peng, C., Sun, H.: Switching-like event-triggered control for networked control systems under malicious denial of service attacks. IEEE Trans. Autom. Control 65(9), 3943–3949 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  23. Qi, W., Zong, G., Zheng, W.: Adaptive event-triggered SMC for stochastic switching systems with semi-Markov process and application to boost converter circuit model. IEEE Trans. Circuits Syst. I Regul. Pap. 68(2), 786–796 (2020)

    Article  MathSciNet  Google Scholar 

  24. Yesmin, A., Bera, M.K.: Design of event-based sliding mode controller with logarithmic quantized state measurement and delayed control update. ISA Trans. 124, 280–289 (2020)

    Article  Google Scholar 

  25. Cheng, J., Park, J.H., Wang, H.: Event-triggered \({H_ {\infty }}\) control for T-S fuzzy nonlinear systems and its application to truck-trailer system. ISA Trans. 65, 62–71 (2016)

    Article  Google Scholar 

  26. Kavikumar, R., Kwon, O.M., Lee, S.H., Lee, S., Sakthivel, R.: Event-triggered input-output finite-time stabilization for IT2 fuzzy systems under deception attacks. IEEE Trans. Fuzzy Syst. 31(4), 1139–1151 (2022)

    Article  Google Scholar 

  27. Xu, J., Niu, Y., Lam, H.K.: Event-triggered sliding mode control of fuzzy systems via artificial time-delay estimation. IEEE Trans. Fuzzy Syst. 29(9), 2467–2478 (2020)

    Article  Google Scholar 

  28. Tan, Y., Liu, Y., Niu, B., Fei, S.: Event-triggered synchronization control for T-S fuzzy neural networked systems with time delay. J. Franklin Inst. 357(10), 5934–5953 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  29. Gao, Y., Sun, X., Wen, C., Wang, W.: Event-triggered control for stochastic nonlinear systems. Automatica 95, 534–538 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  30. Zhu, Q.: Stabilization of stochastic nonlinear delay systems with exogenous disturbances and the event-triggered feedback control. IEEE Trans. Autom. Control 64(9), 3764–3771 (2019)

    Article  MathSciNet  MATH  Google Scholar 

  31. Fei, Z., Guan, C., Zheng, W.: A discontinuous Lyapunov function approach for hybrid event-triggered control of T-S fuzzy systems. IEEE Trans. Syst. Man Cybern. Syst. 52(5), 3151–3162 (2021)

    Article  Google Scholar 

  32. Guo, S., Xu, Y., Ma, Y., Fu, L.: Observer-based event-triggered non-PDC control for networked TS fuzzy systems under actuator failures and aperiodic DoS attacks. Inf. Sci. 629, 276–298 (2023)

    Article  Google Scholar 

  33. 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 Trans. Cybern. (2023). https://doi.org/10.1109/TCYB.2023.3264820.

    Article  Google Scholar 

  34. Kavikumar, R., Kwon, O.M., Lee, S.H., Lee, S., Sakthivel, R.: Event-triggered input-output finite-time stabilization for IT2 fuzzy systems under deception attacks. IEEE Trans. Fuzzy Syst. 31(4), 1139–1151 (2022)

    Article  Google Scholar 

  35. Sun, S., Zhang, H., Zhang, J., Yu, L., Sun, J.: Multiple delay-dependent robust \({H_ {\infty }}\) finite-time filtering for uncertain \(It{\hat{o}}\) stochastic Takagi-Sugeno fuzzy semi-markovian jump systems with state constraints. IEEE Trans. Fuzzy Syst. 30(2), 321–331 (2020)

    Article  Google Scholar 

  36. Tanaka, K., Wang, H.O.: Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality approach. Wiley, New York (2001)

    Book  Google Scholar 

  37. Zhang, J., Yang, G.: Fuzzy adaptive output feedback control of uncertain nonlinear systems with prescribed performance. IEEE Trans. Cybern. 48(5), 1342–1354 (2018)

    Article  Google Scholar 

  38. Zhang, J., Qin, Z., Zhang, X., Guan, C.: A leader-following consensus problem via a distributed observer and fuzzy input-to-output small-gain theorem. IEEE Trans. Control Netw. Syst. 9(1), 62–74 (2021)

    MathSciNet  Google Scholar 

  39. Zhang, J., Yang, G.: Low-complexity tracking control of strict-feedback systems with unknown control directions. IEEE Trans. Autom. Control 64(12), 5175–5182 (2019)

    Article  MathSciNet  MATH  Google Scholar 

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Funding

This work was supported in part by the National Natural Science Foundation of China, under Grants 62173175, 61877033, 61833005, and by the Natural Science Foundation of Shandong Province under Grants Nos. ZR2019BF045, ZR2019MF021, ZR2019QF004, and in part by Talent Introduction and Cultivation Plan for Youth Innovation of Universities in Shandong Province.

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Authors and Affiliations

  1. School of Automation and Electrical Engineering, Linyi University, Linyi, 276005, Shandong, China

    Tong Wang, Feng Zhao, Huawei Liu & Xiangyong Chen

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  1. Tong Wang
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  2. Feng Zhao
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  3. Huawei Liu
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  4. Xiangyong Chen
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Correspondence to Feng Zhao.

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Wang, T., Zhao, F., Liu, H. et al. Observer-Based Finite-Time Event-Triggered Control for Stochastic T-S Fuzzy Nonlinear Systems with Time-Varying Delay. Int. J. Fuzzy Syst. 25, 3088–3102 (2023). https://doi.org/10.1007/s40815-023-01609-8

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