Skip to main content
Log in

Improved Data-driven Adaptive Control Structure Against Input and Output Saturation

  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

This article presents an improved data-driven adaptive control structure to address the problem of input and output saturation in unknown nonlinear systems with multiple inputs and multiple outputs. In the suggested structure, a virtual model of the controlled system is initially built utilizing a multi-layered group method of data handling neural network. The control signal is then applied to this virtual model to predict the output before being applied to the system. If the predicted output is saturated, the control signals are readjusted to prevent saturation and are then applied to the system. By using this proposed structure, the performance of model-free adaptive control against input/output saturation phenomena is improved and the occurrence of saturation is prevented. Based on Lyapunov’s theory, the stability of the suggested structure is proven. The controller has been applied to an interconnected three-tank system and a subway train which results clearly illustrate the advantages of the suggested method over the traditional form of model-free adaptive control design.

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.

Similar content being viewed by others

Explore related subjects

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

References

  1. X. Luo, “Data-driven predictive control for continuous-time linear parameter varying systems with application to wind turbine,” International Journal of Control, Automation, and Systems, vol. 15, no. 2, pp. 619–626, 2017.

    Article  Google Scholar 

  2. Y. Xin, Z. C. Qin, and J. Q. Sun, “Robust experimental study of data-driven optimal control for an underactuated rotary flexible joint,” International Journal of Control, Automation, and Systems, vol. 18, no. 5, pp. 1202–1214, 2020.

    Article  Google Scholar 

  3. G. H. Kim, M. Yoon, J. Y. Jeon, and K. S. Hong, “Data-driven modeling and adaptive predictive anti-swing control of overhead cranes,” International Journal of Control, Automation, and Systems, vol. 20, no. 8, pp. 2712–2723, 2022.

    Article  Google Scholar 

  4. X. Zhu, T. An, and B. Dong, “Data-driven multiplayer mixed-zero-sum game control of modular robot manipulators with uncertain disturbance,” International Journal of Control, Automation, and Systems, vol. 21, no. 2, pp. 645–657, 2023.

    Article  Google Scholar 

  5. Y. Asadi, M. M. Farsangi, A. M. Amani, H. H. Alhelou, S. M. Dibaji, and E. Bijami, “Data-driven cyber-resilient control of wide area power systems,” Power Systems Cyber-security: Methods, Concepts, and Best Practices, Springer International Publishing, Cham, pp. 161–178, 2023.

    Chapter  Google Scholar 

  6. G. J. Silva, A. Datta, and S. P. Bhattacharyya, “On the stability and controller robustness of some popular PID tuning rules,” IEEE Transactions on Automatic Control, vol. 48, no. 9, pp. 1638–1641, 2003.

    Article  MathSciNet  Google Scholar 

  7. H. Yin, P. Seiler, and M. Arcak, “Stability analysis using quadratic constraints for systems with neural network controllers,” IEEE Transactions on Automatic Control, vol. 67, no. 4, pp. 1980–1987, 2021.

    Article  MathSciNet  Google Scholar 

  8. A. Allibhoy and J. Cortés, “Data-based receding horizon control of linear network systems,” IEEE Control Systems Letters, vol. 5, no. 4, pp. 1207–1212, 2020.

    Article  MathSciNet  Google Scholar 

  9. M. G. Safonov and T.-C. Tsao, “The unfalsified control concept and learning,” IEEE Transactions on Automatic Control, vol. 42, no. 6, pp. 843–847, 1997.

    Article  MathSciNet  Google Scholar 

  10. Z. Hou and W. Huang, “The model-free learning adaptive control of a class of SISO nonlinear systems,” Proc. of the 1997 American Control Conference, pp. 343–344, 1997.

    Google Scholar 

  11. M. H. Sarajchi and K. Sirlantzis, “Design and control of a single-leg exoskeleton with gravity compensation for children with unilateral cerebral palsy,” Sensors, vol. 23, no. 13, pp. 6103, 2023.

    Article  Google Scholar 

  12. S. Ganjefar, M. H. Sarajchi, and S. Mahmoud Hoseini, “Teleoperation systems design using singular perturbation method and sliding mode controllers,” Journal of Dynamic Systems, Measurement, and Control, vol. 136, no. 5, 051005, 2014.

    Article  Google Scholar 

  13. S. Ganjefar, M. H. Sarajchi, M. T. H. Beheshti, “Adaptive sliding mode controller design for nonlinear teleoperation systems using singular perturbation method,” Nonlinear Dynamics, vol. 81, pp. 1435–1452, 2015.

    Article  MathSciNet  Google Scholar 

  14. V. Krishnan and F. Pasqualetti, “On direct vs indirect data-driven predictive control,” Proc. of 60th IEEE Conference on Decision and Control (CDC), pp. 736–741, 2021.

    Google Scholar 

  15. J. Dornheim, N. Link, and P. Gumbsch, “Model-free adaptive optimal control of episodic fixed-horizon manufacturing processes using reinforcement learning,” International Journal of Control, Automation, and Systems, vol. 18, pp. 1593–1604, 2020.

    Article  Google Scholar 

  16. Y. Asadi, A. Ahmadi, S. Mohammadi A. M. Amani, M. Marzband, and B. Mohammadi-Ivatloo, “Data-driven model-free adaptive control of z-source inverters,” Sensors, vol. 21, no. 22, 7438, 2021.

    Article  Google Scholar 

  17. J. Wu, N. Liu, and W. Tang, “Data-driven tracking consensus for a class of unknown nonlinear multi-agent systems,” Journal of Vibration and Control, vol. 28, no. 23–24, pp. 3559–3574, 2021.

    MathSciNet  Google Scholar 

  18. Y. Asadi, M. M. Farsangi, A. M. Amani, E. Bijami, and H. H. Alhelou, “Data-driven automatic generation control of interconnected power grids subject to deception attacks,” IEEE Internet of Things Journal, vol. 10, no. 9, pp. 7591–7600, 2023.

    Article  Google Scholar 

  19. Z. Hou and T. Lei, “Constrained model free adaptive predictive perimeter control and route guidance for multi-region urban traffic systems,” IEEE Transactions on Intelligent Transportation Systems, vol. 23, no. 2, pp. 912–924, 2022.

    Article  Google Scholar 

  20. D. Xu, B. Jiang, and F. Liu, “Improved data driven model free adaptive constrained control for a solid oxide fuel cell,” IET Control Theory & Applications, vol. 10, no. 12, pp. 1412–1419, 2016.

    Article  MathSciNet  Google Scholar 

  21. Y. Asadi, M. M. Farsangi, A. M. Amani, E. Bijami, and H. H. Alhelou, “Data-driven adaptive control of wide-area nonlinear systems with input and output saturation: A power system application,” International Journal of Electrical Power & Energy Systems, vol. 133, 107225, 2021.

    Article  Google Scholar 

  22. L. Anastasakis and N. Mort, “The development of self-organization techniques in modelling: A review of the group method of data handling (GMDH),” Research Report-University of Sheffield Department of Automatic Control and Systems Engineering, 2001.

    Google Scholar 

  23. A. Ahmadi, Y. Asadi, A. M. Amani, M. Jalili, and X. Yu, “Resilient model predictive adaptive control of networked Z-source inverters using GMDH,” IEEE Transactions on Smart Grid, vol. 13, no. 5, pp. 3723–3734, 2022.

    Article  Google Scholar 

  24. A. G. Ivakhnenko and G. A. Ivakhnenko, “The review of problems solvable by algorithms of the group method of data handling (GMDH),” Pattern Recognition and Image Analysis C/C of Raspoznavaniye Obrazov I Analiz Izobrazhenii, vol. 5, pp. 527–535, 1995.

    Google Scholar 

  25. O. Bulgakova, V. Zosimov, and V. Stepashko, “Software package for modeling of complex systems based on iterative GMDH algorithms with the network access capability,” System Research and Information Technologies, vol. 1, pp. 43–55, 2014.

    Google Scholar 

  26. A. Oliver and H. A. Fatmi, “Nonlinear adaptive filtering by the Gabor-Kolmogorov method,” Proc. of International Conference on Control 1991 (Control’91), pp. 1105–1110, 1991.

    Google Scholar 

  27. Z. Hou and S. Jin, “Data-driven model-free adaptive control for a class of MIMO nonlinear discrete-time systems,” IEEE Transactions on Neural Networks, vol. 22, no. 12, pp. 2173–2188, 2011.

    Article  Google Scholar 

  28. H. Wang and Z. Hou, “Model-free adaptive fault-tolerant control for subway trains with speed and traction/braking force constraints,” IET Control Theory & Applications, vol. 14, no. 12, pp. 1557–1566, 2020.

    Article  MathSciNet  Google Scholar 

  29. S. Iplikci, “A support vector machine based control application to the experimental three-tank system,” ISA Transactions, vol. 49, no. 3, pp. 376–386, 2010.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yasin Asadi.

Ethics declarations

The authors have declared that they do not have any conflicting financial interests or personal relationships that could have potentially influenced the findings presented in this study.

Additional information

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

Yasin Asadi obtained his M.Sc. degree in control science and engineering from Amir Kabir University in Tehran, Iran, in 2015 and he received his Ph.D. degree in control science from Shahid Bahonar University in Kerman, Iran, in 2022. His research interests include load frequency control, model-free adaptive control, and data-driven control.

Malihe Maghfouri Farsangi received her B.S. and Ph.D. degrees in electrical engineering from Ferdowsi University and Brunel Institute of Power Systems, Brunel University, UK, respectively. Her research interests include data-driven control, networked control systems, and computational intelligence.

Mohammad Hadi Rezaei received his M.Sc. and Ph.D. degrees in control engineering from Tehran University and Amirkabir University, Tehran, Iran, in 2010 and 2018, respectively. His research interests include multi-agent systems and data-driven control.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Asadi, Y., Farsangi, M.M. & Rezaei, M.H. Improved Data-driven Adaptive Control Structure Against Input and Output Saturation. Int. J. Control Autom. Syst. (2024). https://doi.org/10.1007/s12555-023-0437-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12555-023-0437-0

Keywords

Navigation