Skip to main content
Log in

Interconnected backlash inverse compensation in neural decentralized control for switched nonlinear systems

  • Published:
Applied Intelligence Aims and scope Submit manuscript

Abstract

In the study, a tracking control method is addressed when switched interconnected systems are subjected to backlash nonlinearities. For one inequality with multiple smooth inverse models, it is not clear how to establish the boundedness of system states. In order to remove above restriction, a novel interconnected smooth inverse compensator is presented. Then, combined the proposed inverse model with common Lyapunov method, a new adaptive neural decentralized controller is presented to assure stability of system. Eventually, availability of developed control approach can be proven by the examples.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /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 excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

Explore related subjects

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

References

  1. Campos J, Lewis F, Selmic R (2000) Backlash compensation with filtered prediction in discrete time nonlinear systems by dynamic inversion using neural networks. In: Proceedings of the 39th IEEE conference on decision and control

  2. Chen Y, Liu Z, Chen C, Zhang Y (2021) Adaptive fuzzy control of switched nonlinear systems with uncertain dead-zone: a mode-dependent fuzzy dead-zone model. Neurocomputing 432:133–144

    Article  Google Scholar 

  3. Chen Y, Liu Z (2021) Chen C. Integral-interval barrier Lyapunov function based control of switched systems with fuzzy saturation-deadzone. Nonlinear Dyn, Zhang Y

    Google Scholar 

  4. Tao G, Kokotovic PV (1993) Adaptive control of systems with backlash. Automatica 29:323–335

    Article  MathSciNet  Google Scholar 

  5. Tao G, Kokotovic PV (1995) Continuous-time adaptive control of systems with unknown backlash. IEEE Trans Autom Control 40(6):1083–1087

    Article  MathSciNet  Google Scholar 

  6. Gu GY, Su CY, Zhu LM (2015) Robust inverse compensation and control of a class of non-linear systems with unknown asymmetric backlash non-linearity. IET Control Theory Appl 9(12):1869–1877

    Article  MathSciNet  Google Scholar 

  7. Hua C, Guan X (2008) Output feedback stabilization for time-delay nonlinear interconnected systems using neural networks. IEEE Trans Neural Netw 19(4):673–688

    Article  Google Scholar 

  8. Huang J, Wang W, Wen C, Zhou J (2018) Adaptive control of a class of strict-feedback time-varying nonlinear systems with unknown control coefficients. Automatica 93:98–105

    Article  MathSciNet  Google Scholar 

  9. Jain S, Khorrami F (1997) Decentralized adaptive output feedback design for large-scale nonlinear systems. IEEE Trans Autom Control 42(5):729–735

    Article  MathSciNet  Google Scholar 

  10. Jiang B, Shen Q, Shi P (2015) Neural-networked adaptive tracking control for switched nonlinear pure-feedback systems under arbitrary switching. Automatica 61:119–125

    Article  MathSciNet  Google Scholar 

  11. Lai G, Liu Z, Zhang Y, Philip Chen CL (2016) Adaptive fuzzy tracking control of nonlinear systems with asymmetric actuator backlash based on a new smooth inverse. IEEE Trans Cybern 46(6):1250–1262

    Article  Google Scholar 

  12. Lai G, Liu Z, Zhang Y, Chen CLP, Xie S (2017) Adaptive inversion-based fuzzy compensation control of uncertain pure-feedback systems with asymmetric actuator backlash. IEEE Trans Fuzzy Syst 25(1):141–155

    Article  Google Scholar 

  13. Liu Q, Qin SJ, Chai T (2013) Decentralized fault diagnosis of continuous annealing processes based on multilevel PCA. IEEE Trans Autom Sci Eng 10(3):687–698

    Article  Google Scholar 

  14. Liu SJ, Zhang JF, Jiang ZP (2007) Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems. Automatica 43(2):238–251

    Article  MathSciNet  Google Scholar 

  15. Liu Y, Tong S (2014) Adaptive fuzzy control for a class of nonlinear discrete-time systems with backlash. IEEE Trans Fuzzy Syst 22(5):1359–1365

    Article  Google Scholar 

  16. Lu K, Liu Z, Wang Y, Chen CLP (2020) Fixed-time adaptive fuzzy control for uncertain nonlinear systems. IEEE Trans Fuzzy Syst

  17. Lu K, Liu Z, Wang Y, Chen CLP (2020) Resilient adaptive neural control for uncertain nonlinear systems with infinite number of time-varying actuator failures. IEEE Trans Cybern

  18. Lyu Z, Liu Z, Xie K, Chen CLP, Zhang Y (2020) Adaptive fuzzy output-feedback control for switched nonlinear systems with stable and unstable unmodeled dynamics. IEEE Trans Fuzzy Syst 28 (8):1825–1839

    Article  Google Scholar 

  19. Mahmoud MS (2011) Decentralized systems with design constraints. Springer, London

    Book  Google Scholar 

  20. Mei Y, Liu Y, Wang H (2021), Adaptive neural network output-constraint control for a variable-length rotary arm with input backlash nonlinearity. IEEE Trans Neural Netw Learn Syst

  21. Mirkin B, Gutman PO, Shtessel Y (2012) Asymptotic sliding mode control approach to adaptive distributed tracking problem for multi-agent nonlinear delayed systems. Int J Control 85(11):1671–1682

    Article  MathSciNet  Google Scholar 

  22. Sanner RM, Slotine JJE (1992) Gaussian networks for direct adaptive control. IEEE Trans Neural Netw 3(6):837– 863

    Article  Google Scholar 

  23. Selmic R, Lewis F (2000) Neural net backlash compensation with hebbian tuning by dynamic inversion. In: Proceedings of the 39th IEEE conference on decision and control

  24. Song S, Park JH, Zhang B, Song X (2021) Event-based adaptive fuzzy fixed-time secure control for nonlinear CPSs against unknown false data injection and backlash-like hysteresis. IEEE Trans Fuzzy Syst

  25. Spooner J, Passino K (1996) Adaptive control of a class of decentralized nonlinear systems. IEEE Trans Autom Control 41(2):280–284

    Article  MathSciNet  Google Scholar 

  26. Tao G, Kokotovic P (1995) Discrete-time adaptive control of systems with unknown dead zones. Int J Control 61:1–17

    Article  Google Scholar 

  27. Tao G, Lewis FL (2001) Adaptive control of nonsmooth dynamic systems. Springer, London

    Book  Google Scholar 

  28. Wen C, Zhou J (2007) Decentralized adaptive stabilization in the presence of unknown backlash-like hysteresis. Automatica 43(3):426–440

    Article  MathSciNet  Google Scholar 

  29. Xie S, Xie L (2000) Decentralized stabilization of a class of interconnected stochastic nonlinear systems. IEEE Trans Autom Control 45(1):132–137

    Article  MathSciNet  Google Scholar 

  30. Zhou J, Wen C (2008) Adaptive backstepping control of uncertain systems: Nonsmooth nonlinearities interactions or time-variations. Springer, Berlin

    MATH  Google Scholar 

  31. Zhou J, Zhang C, Wen C (2007) Robust adaptive output control of uncertain nonlinear plants with unknown backlash nonlinearity. IEEE Trans Autom Control 52(3):503–509

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yanxian Chen.

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

Chen, Y. Interconnected backlash inverse compensation in neural decentralized control for switched nonlinear systems. Appl Intell 52, 10135–10147 (2022). https://doi.org/10.1007/s10489-021-02996-x

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10489-021-02996-x

Keywords

Navigation