[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ Skip to main content
Springer Nature Link
Log in

Generalized Dissipativity of Fuzzy Systems by Memory Sampled-Data Control

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

Abstract

This paper addresses the generalized dissipative problem for fuzzy systems with memory sampled-data control. The aim is to devise the memory sampled-data controller such that the considered system is generalized dissipative. By considering the time derivative of the membership functions and some helpful terms, an improved time-dependent Lyapunov-Krasovskii functional (LKF) is constructed to commendably capture the useful information about the real sampling pattern. Together with some new inequalities and the upper bounds of the time derivative of the membership functions, some new criteria are established to guarantee the fuzzy systems to be generalized dissipative. Moreover, the memory sampled-data controller is devised to include delayed state information with the common sampled-data proportional controller as its special case, which can improve the controller performance. Finally, the merits of the proposed results are demonstrated by the truck-trailer system and Rossler’s system.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (United Kingdom)

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

Data availability

We confirm that all data generated during this study are included in this article.

References

  1. Cai, X., Shi, K., She, K., Zhong, S., Tang, Y.: Quantized sampled-data control tactic for T-S fuzzy NCS under stochastic cyber-attacks and its application to truck-trailer system. IEEE Trans. Veh. Technol. 71(7), 7023–7032 (2022)

    Article  Google Scholar 

  2. Li, H., Gao, Y., Wu, L., Lam, H.K.: Fault detection for T-S fuzzy time-delay systems: delta operator and input-output methods. IEEE Trans. Cybern. 45(2), 229–241 (2015)

    Article  PubMed  Google Scholar 

  3. Cheng, J., Park, J.H., Liu, Y., Liu, Z., Tang, L.: Finite-time \(H_{\infty }\) fuzzy control of nonlinear Markovian jump delayed systems with partly uncertain transition descriptions. Fuzzy Sets Syst. 314, 99–115 (2017)

    Article  Google Scholar 

  4. Shen, H., Li, F., Wu, Z., Park, J.H., Sreeram, V.: Fuzzy-model-based nonfragile control for nonlinear singularly perturbed systems with semi-Markov jump parameters. IEEE Trans. Fuzzy Syst. 26(6), 3428–3439 (2018)

    Article  Google Scholar 

  5. Liu, Y., Tong, S., Li, D., Gao, Y.: Fuzzy adaptive control with state observer for a class of nonlinear discrete-time systems with input constraint. IEEE Trans. Fuzzy Syst. 24(5), 1147–1158 (2016)

    Article  Google Scholar 

  6. Xiang, W., Xiao, J., Iqbal, M.N.: \(H_{\infty }\) control for switched fuzzy systems via dynamic output feedback: hybrid and switched approaches. Commun. Nonlinear Sci. Numer. Simul. 18(6), 1499–1514 (2013)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  8. Wang, Y., Xia, Y., Zhou, P.: Fuzzy-model-based sampled-data control of chaotic systems: a fuzzy time-dependent Lyapunov-Krasovskii functional approach. IEEE Trans. Fuzzy Syst. 25(6), 1672–1684 (2017)

    Article  Google Scholar 

  9. Fujioka, H.: A discrete-time approach to stability analysis of systems with aperiodic sample-and-hold devices. IEEE Trans. Autom. Control 54(10), 2440–2445 (2009)

    Article  MathSciNet  Google Scholar 

  10. Liu, Y., Park, J.H., Guo, B., Shu, Y.: Further results on stabilization of chaotic systems based on fuzzy memory sampled-data control. IEEE Trans. Fuzzy Syst. 26(2), 1040–1045 (2018)

    Article  Google Scholar 

  11. Cheng, J., Zhang, D., Qi, W., Cao, J., Shi, K.: Finite-time stabilization of T-S fuzzy semi-Markov switching systems: a coupling memory sampled-data control approach. J. Franklin Inst. 357(16), 11265–11280 (2020)

    Article  MathSciNet  Google Scholar 

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

    MathSciNet  Google Scholar 

  13. Cheng, J., Chen, S., Liu, Z., Wang, H., Li, J.: Robust finite-time sampled-data control of linear systems subject to random occurring delays and its application to four-tank system. Appl. Math. Comput. 281, 55–76 (2016)

    MathSciNet  Google Scholar 

  14. Yucel, E., Ali, M.S., Gunasekaran, N., Arik, S.: Sampled-data filtering of Takagi-Sugeno fuzzy neural networks with interval time-varying delays. Fuzzy Sets Syst. 316, 69–81 (2017)

    Article  MathSciNet  Google Scholar 

  15. Ge, C., Park, J.H., Hua, C., Guan, X.: Dissipativity analysis for T-S fuzzy system under memory sampled-data control. IEEE Trans. Cybern. 51(2), 961–969 (2021)

    Article  PubMed  Google Scholar 

  16. Wang, Y., Karimi, H.R., Lam, H.-K., Shen, H.: An improved result on exponential stabilization of sampled-data fuzzy systems. IEEE Trans. Fuzzy Syst. 26(6), 3875–3883 (2018)

    Article  Google Scholar 

  17. Gandhi, V., Joo, Y.H.: T-S fuzzy sampled-data control for nonlinear systems with actuator faults and its application to wind energy system. IEEE Trans. Fuzzy Syst. 30(2), 462–474 (2022)

    Article  Google Scholar 

  18. Shanmugam, L., Joo, Y.H.: Further stability and stabilization condition for sampled-data control systems via looped-functional method. IEEE Trans. Circuits Syst. II Express Briefs 68(1), 301–305 (2021)

    Google Scholar 

  19. Luo, J., Tian, W., Zhong, S., Shi, K., Wang, W.: Non-fragile asynchronous event-triggered control for uncertain delayed switched neural networks. Nonlinear Anal. Hybrid Syst 29, 54–73 (2018)

    Article  MathSciNet  Google Scholar 

  20. Kuppusamy, S., Joo, Y.H.: Stabilization criteria for T-S fuzzy systems with multiplicative sampled-data control gain uncertainties. IEEE Trans. Fuzzy Syst. 30(10), 4082–4092 (2022)

    Article  Google Scholar 

  21. Tao, J., Lu, R., Shi, P., Su, H., Wu, Z.: Dissipativity-based reliable control for fuzzy Markov jump systems with actuator faults. IEEE Trans. Cybern. 47(9), 2377–2388 (2017)

    Article  PubMed  Google Scholar 

  22. Wu, Z., Shi, P., Su, H., Lu, R.: Dissipativity-based sampled-data fuzzy control design and its application to truck-trailer system. IEEE Trans. Fuzzy Syst. 23(5), 1669–1679 (2015)

    Article  Google Scholar 

  23. Tao, J., Wu, Z., Su, H., Wu, Y., Zhang, D.: Asynchronous and resilient filtering for Markovian jump neural networks subject to extended dissipativity. IEEE Trans. Cybern. 99, 1–10 (2018)

    Google Scholar 

  24. Zhu, X., Chen, B., Yue, D., Wang, Y.: An improved input delay approach to stabilization of fuzzy systems under variable sampling. IEEE Trans. Fuzzy Syst. 20(2), 330–341 (2012)

    Article  Google Scholar 

  25. Wu, Z., Shi, P., Su, H., Chu, J.: Sampled-data fuzzy control of chaotic systems based on a T-S fuzzy model. IEEE Trans. Fuzzy Syst. 22(1), 153–163 (2014)

    Article  Google Scholar 

  26. Wang, Z., Wu, H.: On fuzzy sampled-data control of chaotic systems via a time-dependent Lyapunov functional approach. IEEE Trans. Cybern. 45(4), 819–829 (2015)

    Article  PubMed  Google Scholar 

  27. Wang, X., Park, J.H., She, K., Zhong, S., Shi, L.: Stabilization of chaotic systems with T-S fuzzy model and nonuniform sampling: a switched fuzzy control approach. IEEE Trans. Fuzzy Syst. 27(6), 1263–1271 (2019)

    Article  Google Scholar 

  28. Zhang, R., Zeng, D., Park, J.H., Liu, Y., Zhong, S.: A new approach to stabilization of chaotic systems with nonfragile fuzzy proportional retarded sampled-data control. IEEE Trans. Cybern. 49(9), 3218–3229 (2019)

    Article  PubMed  Google Scholar 

  29. Dong, S., Wu, Z., Shi, P., Su, H., Lu, R.: Reliable control of fuzzy systems with quantization and switched actuator failures. IEEE Trans. Syst. Man Cybern.: Syst. 47(8), 2198–2208 (2017)

    Article  Google Scholar 

  30. Luo, J., Liu, X., Tian, W., Zhong, S., Shi, K., Cheng, J.: A new approach to generalized dissipativity analysis for fuzzy systems with coupling memory sampled-data control. Appl. Math. Comput. 368, 124774 (2020)

    MathSciNet  Google Scholar 

  31. Lee, T.H., Park, J.H.: Stability analysis of sampled-data systems via free-matrix-based time-dependent discontinuous Lyapunov approach. IEEE Trans. Autom. Control 62(7), 3653–3657 (2017)

    Article  MathSciNet  Google Scholar 

  32. Liang, X., Xia, J., Chen, G., Zhang, H., Wang, Z.: Dissipativity-based non-fragile sampled-data control for fuzzy Markovian jump systems. Int. J. Fuzzy Syst. 21(6), 1709–1723 (2019)

    Article  MathSciNet  Google Scholar 

  33. Liu, Y., Lee, S.M.: Stability and stabilization of Takagi-Sugeno fuzzy systems via sampled-data and state quantized controller. IEEE Trans. Fuzzy Syst. 24(3), 635–644 (2016)

    Google Scholar 

  34. Wang, Z., Wu, H.: On fuzzy sampled-data control of chaotic systems via a time-dependent Lyapunov functional approach. IEEE Trans. Cybern. 45(4), 819–829 (2015)

    Article  PubMed  Google Scholar 

Download references

Acknowledgements

Thanks for the all. This work was supported by the Southwest Minzu University Research Startup Funds (Grant No. RQD2022024), National Natural Science Foundation of China (Grant No. 62206168, 62003087) and the Fundamental Research Funds for the Central Universities, the Southwest Minzu University (Grant No. 2021PYXM02).

Author information

Authors and Affiliations

  1. College of Electrical Engineering, Southwest Minzu University, Chengdu, 610041, People’s Republic of China

    Jinnan Luo & Qiong Wu

  2. School of Electrical Engineering, Shanghai DianJi University, Shanghai, 201306, People’s Republic of China

    Lijuan Chen

  3. School of Information Science and Engineering, Chengdu University, Chengdu, 610106, People’s Republic of China

    Kaibo Shi

  4. School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, People’s Republic of China

    Shouming Zhong

Authors
  1. Jinnan Luo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Lijuan Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Kaibo Shi
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Shouming Zhong
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Qiong Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Lijuan Chen or Kaibo Shi.

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

Luo, J., Chen, L., Shi, K. et al. Generalized Dissipativity of Fuzzy Systems by Memory Sampled-Data Control. Int. J. Fuzzy Syst. 26, 585–595 (2024). https://doi.org/10.1007/s40815-023-01618-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40815-023-01618-7

Keywords

Search

Navigation