Skip to main content
SpringerLink
Log in

Robust output feedback control of time-delay nonlinear systems with dead-zone input and application to chemical reactor system

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

This paper investigates the problem of robust output feedback control for a class of time-delay nonlinear systems with unknown continuous time varying output function. Unlike the previous studies, the considered systems allow the presence of dead-zone nonlinearities, continuous disturbances and time-varying delays. A new robust control scheme is constructed by introducing coordinate transformations that draws the dead-zone characteristic as well as modifying a double-domination method cooperating with integral Lyapunov functions. A combined system is established to perform a one-step mechanism for constructing a continuous controller which guarantees that all closed-loop signals are ultimately uniform bounded. The proposed scheme is finally applied to a two-stage chemical reactor system with dead-zone input and external disturbances to illustrate the effectiveness and performances.

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
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

References

  1. Jia, X., Xu, S., Zhang, Z., Cui, G.: Output feedback robust stabilisation for uncertain non-linear systems with dead-zone input. IET Control Theory Appl. 14(14), 1828–1836 (2020)

    Article  MathSciNet  Google Scholar 

  2. Li, Y., Yang, G.: Adaptive fuzzy decentralized control for a class of large-scale nonlinear systems with actuator faults and unknown dead zones. IEEE Trans. Syst. Man Cybern.-Syst. 47(5), 729–740 (2017)

    Article  Google Scholar 

  3. Zhang, L., Yang, G.: Adaptive fuzzy output constrained decentralized control for switched nonlinear large-scale systems with unknown dead zones. Nonlinear Anal.-Hybrid Syst. 23, 61–75 (2017)

    Article  MathSciNet  Google Scholar 

  4. Wu, H.: Robust output tracking of uncertain nonlinear time-delay systems with unknown dead-zone inputs via control schemes with a simple structure. Int. J. Adaptive Control Signal Process. 31(12), 1952–1964 (2017)

    Article  MathSciNet  Google Scholar 

  5. Wu, L., Yang, G.: Adaptive fuzzy tracking control for a class of uncertain nonaffine nonlinear systems with dead-zone inputs. Fuzzy Sets Syst. 290, 1–21 (2016)

    Article  MathSciNet  Google Scholar 

  6. Wu, L., Yang, G.: Adaptive output neural network control for a class of stochastic nonlinear systems with dead-zone nonlinearities. IEEE Trans. Neural Networks Learn. Syst. 28(3), 726–739 (2015)

    Article  MathSciNet  Google Scholar 

  7. Wang, X., Su, C., Hong, H.: Robust adaptive control of a class of nonlinear systems with unknown dead-zone. Automatica 40(3), 407–413 (2004)

    Article  MathSciNet  Google Scholar 

  8. Tao, G., Kokotovic, P.: Adaptive control of plants with unknown dead-zones. IEEE Trans. Autom. Control 39(1), 59–68 (1994)

    Article  MathSciNet  Google Scholar 

  9. Zhou, J., Wen, C., Zhang, Y.: Adaptive output control of nonlinear systems with uncertain dead-zone nonlinearity. IEEE Trans. Autom. Control 51(3), 504–511 (2006)

    Article  MathSciNet  Google Scholar 

  10. Tong, S., Li, Y.: Adaptive fuzzy output feedback tracking backstepping control of strict-feedback nonlinear systems with unknown dead zones. IEEE Trans. Fuzzy Syst. 20(1), 168–180 (2012)

    Article  Google Scholar 

  11. Wang, L., Li, H., Zhou, Q., Lu, R.: Adaptive fuzzy control for nonstrict feedback systems with unmodeled dynamics and fuzzy dead zone via output feedback. IEEE Trans. Cybern. 47(9), 2400–2412 (2017)

    Article  Google Scholar 

  12. Wu, Y., Yao, J.: Barrier Lyapunov function-based adaptive output feedback failure compensation for a class of non-linear systems with unknown dead-zone non-linearity. Trans. Instit. Measur. Control 39(8), 1169–1181 (2017)

    Article  Google Scholar 

  13. Jia, X., Xu, S., Qi, Z., Zhang, Z., Chu, Y.: Adaptive output feedback tracking of nonlinear systems with uncertain nonsymmetric dead-zone input. ISA Trans. 95, 35–44 (2019)

    Article  Google Scholar 

  14. Sun, Y., Mao, B., Liu, H., Zhou, S.: Output feedback adaptive control for stochastic non-strict-feedback system with dead-zone. Int. J. Control Autom. Syst. 18(10), 1–9 (2020)

    Article  Google Scholar 

  15. Ma, H., Yang, G.: Adaptive output control of uncertain nonlinear systems with non-symmetric dead-zone input. Automatica 46(2), 413–420 (2010)

    Article  MathSciNet  Google Scholar 

  16. Shen, Y., Zhang, D., Xia, X.: Continuous output feedback stabilization for nonlinear systems based on sampled and delayed output measurements. Int. J. Robust Nonlinear Control 26(4), 3075–3087 (2016)

    Article  MathSciNet  Google Scholar 

  17. Li, G., Lin, Y.: Robust output feedback stabilization of nonlinear systems with low-order and high-order nonlinearities. Int. J. Robust Nonlinear Control 26(9), 1919–1943 (2015)

    Article  MathSciNet  Google Scholar 

  18. Chen, C., Qian, C., Lin, X., Sun, Z., Liang, Y.: Smooth output feedback stabilization for a class of nonlinear systems with time-varying powers. Int. J. Robust Nonlinear Control 27(18), 5113–5128 (2017)

    Article  MathSciNet  Google Scholar 

  19. Lei, H., Lin, W.: Universal adaptive control of nonlinear systems with unknown growth rate by output feedback. Automatica 42(10), 1783–1789 (2006)

    Article  MathSciNet  Google Scholar 

  20. Qian, C., Du, H.: Global output feedback stabilization of a class of nonlinear systems via linear sampled-data control. IEEE Trans. Auto. Control 57(11), 2934–2939 (2012)

    Article  MathSciNet  Google Scholar 

  21. Sun, Z., Zhang, D., Meng, Q., Chen, C.: Feedback stabilization of time-delay nonlinear systems with continuous time-varying output function. Int. J. Syst. Sci. 50(2), 244–255 (2019)

    Article  Google Scholar 

  22. Qian, C., Lin, W.: Output feedback control of a class of nonlinear systems: a nonseparation principle paradigm. IEEE Trans. Autom. Control 47(10), 1710–1715 (2002)

    Article  MathSciNet  Google Scholar 

  23. Sun, Z., Zhou, C., Chen, C., Meng, Q.: Fast finite-time adaptive stabilization of high-order uncertain nonlinear systems with output constraint and zero dynamics. Inf. Sci. 514(4), 571–586 (2020)

    Article  MathSciNet  Google Scholar 

  24. Zhu, Q., Wang, H.: Output feedback stabilization of stochastic feedforward systems with unknown control coefficients and unknown output function. Automatica 87, 166–175 (2018)

    Article  MathSciNet  Google Scholar 

  25. Sun, Z., Xing, J., Meng, Q.: Output feedback regulation of time-delay nonlinear systems with unknown continuous output function and unknown growth rate. Nonlinear Dyn. 100(2), 1309–1325 (2020)

    Article  Google Scholar 

  26. Sun, Z., Peng, Y., Wen, C., Chen, C.: Fast finite-time adaptive stabilization of high-order uncertain nonlinear system with an asymmetric output constraint. Automatica, 121(11), 109170(2020)

  27. Sun, Z., Shao, Y., Chen, C., Meng, Q.: Global output-feedback stabilization for stochastic nonlinear systems: a double-domination approach. Int. J. Robust Nonlinear Control 28(15), 4635–4646 (2018)

    MathSciNet  MATH  Google Scholar 

  28. Chen, C., Qian, C., Sun, Z., Liang, Y.: Global output feedback stabilization of a class of nonlinear systems with unknown measurement sensitivity. IEEE Trans. Autom. Control 63(7), 2212–2217 (2018)

    Article  MathSciNet  Google Scholar 

  29. Sun, Z., Xing, J., Chen, C.: Output feedback stabilization of time-delay nonlinear systems with unknown continuous time-varying output function and nonlinear growth rate. Int. J. Robust Nonlinear Control 30(6), 2579–2592 (2020)

    Article  MathSciNet  Google Scholar 

  30. Shao, Y., Sun, Z., Xie, X., Liu, Z.: Output feedback stabilization for power-integrator systems with unknown measurement sensitivity. Sci. China Inf. Sci. 64(9), 1–3 (2021)

    Article  MathSciNet  Google Scholar 

  31. Liu, Z., Xue, L., Sun, W.: Robust output feedback tracking control for a class of high-order time-delay nonlinear systems with input dead-zone and disturbances. Nonlinear Dyn. 97(2), 921–935 (2019)

    Article  Google Scholar 

  32. Liu, Z., Xue, L., Wu, Y.: Robust adaptive tracking control for nontriangular time-delay nonlinear systems with input dead-zone and multiple uncertainties. Int. J. Adaptive Control Signal Process. 34(7), 857–876 (2020)

    Article  MathSciNet  Google Scholar 

  33. Tran, D., Dao, H., Dinh, T., Ahn, K.: Output feedback control via linear extended state observer for an uncertain manipulator with output constraints and input dead-zone. Electronics, 9(9), 1355(2020)

  34. Liu, Y., Zhou, N.: Observer-based adaptive fuzzy-neural control for a class of uncertain nonlinear systems with unknown dead-zone input. ISA Trans. 49, 462–469 (2010)

    Article  Google Scholar 

  35. Sun, Z., Shao, Y., Chen, C.: Fast finite-time stability and its application in adaptive control of high-order nonlinear system. Automatica 106(5), 339–348 (2019)

    Article  MathSciNet  Google Scholar 

  36. Zhang, Z., Xu, S., Zhang, B.: Exact tracking control of nonlinear systems with time delays and dead-zone input. Automatica 52, 272–276 (2015)

    Article  MathSciNet  Google Scholar 

  37. Min, H., Xu, S., Ma, Q., Zhang, B., Zhang, Z.: Composite-observer-based output-feedback control for nonlinear time-Delay systems with input saturation and its Application. IEEE Trans. Ind. Electron. 65(7), 5856–5863 (2018)

    Article  Google Scholar 

Download references

Funding

This work is supported in part by National Natural Science Foundation of China under Grants 62173208 and 61773237, Taishan Scholar Project of Shandong Province of China under Grant tsqn202103061, Shandong Qingchuang Science and Technology Program of Universities under Grant 2019KJN036, Zhejiang Provincial Natural Science Foundation of China under Grant LZ21E050002, and the Ministry of Science and Technology (MOST), Taiwan, under Grant MOST 110-2221-E-006-173-.

Author information

Authors and Affiliations

  1. Institute of Automation, Qufu Normal University, Qufu, Shandong Province, 273165, People’s Republic of China

    Zong-Yao Sun & Kai Zhang

  2. Department of Systems and Naval Mechatronic Engineering, National Cheng Kung University, Tainan, 70101, Taiwan

    Chih-Chiang Chen

  3. School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou, Zhejiang Province, 310018, People’s Republic of China

    Qinghua Meng

Authors
  1. Zong-Yao Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kai Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Chih-Chiang Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Qinghua Meng
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zong-Yao Sun.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sun, ZY., Zhang, K., Chen, CC. et al. Robust output feedback control of time-delay nonlinear systems with dead-zone input and application to chemical reactor system. Nonlinear Dyn 109, 1617–1627 (2022). https://doi.org/10.1007/s11071-022-07506-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-022-07506-3

Keywords

Search

Navigation