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Observer and Controller Design for State-Delay Takagi-Sugeno Fuzzy Systems Subjected to Unknown Time-Varying Output Delays

  • Weikang Hu
  • Yanwei HuangEmail author
  • Wenchao Huang
  • Shaobin Chen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11743)

Abstract

This paper investigates the stabilization problem for Takagi-Sugeno fuzzy systems subjected to both fixed state delays and unknown time-varying output delays. First, a novel fuzzy observer is proposed to synchronously estimate the system state and the disturbance term caused by the unknown output delays. Then, along with the fuzzy observer, a fuzzy controller is designed to ensure the stability of the overall system by Lyapunov-based analysis. Finally, the effectiveness and correctness of the obtained results are verified by simulation example.

Keywords

Fuzzy systems State delays Unknown output delays 

References

  1. 1.
    Qiu, J., Gao, H., Ding, S.X.: Recent advances on fuzzy-model-based nonlinear networked control systems: a survey. IEEE Trans. Ind. Electron. 63(2), 1207–1217 (2016) CrossRefGoogle Scholar
  2. 2.
    Lam, H.: A review on stability analysis of continuous-time fuzzy-model-based control systems: from membership-function-independent to membership-function-dependent analysis. Eng. Appl. Artif. Intell. 67, 390–408 (2018)CrossRefGoogle Scholar
  3. 3.
    Wu, A.G., Lin, Q., Fu, Y.M., Duan, G.R.: A less conservative stability condition of time-delay systems with polytopic uncertainty. Asian J. Control 15(5), 1543–1547 (2013)MathSciNetzbMATHGoogle Scholar
  4. 4.
    Zhong, Z., Zhu, Y., Ahn, C.K.: Reachable set estimation for takagi-sugeno fuzzy systems against unknown output delays with application to tracking control of AUVs. ISA Trans. 78, 31–38 (2018)CrossRefGoogle Scholar
  5. 5.
    Siala, F., Gassara, H., Chaabane, M., El Hajjaji, A.: Stability analysis of polynomial fuzzy systems with time-delay via sum of squares (SOS) approach. In: 14th International Conference on Sciences and Techniques of Automatic Control & Computer Engineering-STA 2013, pp. 197–200. IEEE (2013)Google Scholar
  6. 6.
    Yu, J., Qinsheng, L., Jian, W., Chunsong, H.: Polynomial observer design for time-delay polynomial fuzzy system by sum of squares approach. In: 2017 36th Chinese Control Conference (CCC), pp. 6397–6402. IEEE (2017)Google Scholar
  7. 7.
    Lian, Z., He, Y., Zhang, C.K., Shi, P., Wu, M.: Robust \(H_{\infty }\) control for T-S fuzzy systems with state and input time-varying delays via delay-product-type functional method. IEEE Trans. Fuzzy Syst. (2019)Google Scholar
  8. 8.
    Xu, X., Liu, L., Feng, G.: Consensus of discrete-time linear multiagent systems with communication, input and output delays. IEEE Trans. Autom. Control 63(2), 492–497 (2018)MathSciNetCrossRefGoogle Scholar
  9. 9.
    Ahmed-Ali, T., Giri, F., Krstic, M., Kahelras, M.: Pde based observer design for nonlinear systems with large output delay. Syst. Control Lett. 113, 1–8 (2018)MathSciNetCrossRefGoogle Scholar
  10. 10.
    Gao, Z.: Estimation and compensation for Lipschitz nonlinear discrete-time systems subjected to unknown measurement delays. IEEE Trans. Ind. Electron. 62(9), 5950–5961 (2015)CrossRefGoogle Scholar
  11. 11.
    Zhong, Z., Zhu, Y., Lin, C.M., Huang, T.: A fuzzy control framework for interconnected nonlinear power networks under TDS attack: estimation and compensation. J. Franklin Inst. (2019)Google Scholar
  12. 12.
    Liu, C., Lam, H.K.: Design of a polynomial fuzzy observer controller with sampled-output measurements for nonlinear systems considering unmeasurable premise variables. IEEE Trans. Fuzzy Syst. 23(6), 2067–2079 (2015)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Weikang Hu
    • 1
  • Yanwei Huang
    • 1
    Email author
  • Wenchao Huang
    • 1
  • Shaobin Chen
    • 1
  1. 1.Fuzhou UniversityFuzhouPeople’s Republic of China

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