Skip to main content

Abstract

This paper proposes an adaptive fuzzy controller optimized with Jaya optimization algorithm appropriate for a class of robust control applied in control uncertain nonlinear plants including ball and plate system. First, an adaptive fuzzy-based sliding surface is innovatively designed to ensure that the closed-loop system is asymptotically stable based on Lyapunov stability concept. Second, the coefficients of fuzzy structure will be estimated via Jaya optimization technique. The proposed algorithm is applied to regulate the ball position in the ball and plate plant. The comparative results with optimal PID and standard fuzzy control approaches are fully shown as to demonstrate that the proposed controller provides an efficient and robust technique in order to precisely control the nonlinear and uncertain plants.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Ma, J., et al.: Observer integrated back-stepping control for a ball and plate system. Int. J. Dyn. Control 9(1), 141–148 (2021)

    Article  Google Scholar 

  2. Mohammadi, A., Ryu, J.-C.: Neural network-based PID compensation for nonlinear systems: ball-on-plate example. Int. J. Dyn. Control 8(1), 178–188 (2018)

    Article  MathSciNet  Google Scholar 

  3. Llama, M., et al.: Heuristic global optimization of an adaptive fuzzy controller for the inverted pendulum system: experimental comparison. Appl. Sci. 10(18), 6158 (2020)

    Article  Google Scholar 

  4. Lin, J., et al.: Design of robust adaptive fuzzy controller for a class of single-input single-output (SISO) uncertain nonlinear systems. Math. Probl. Eng. 2020, 1–11 (2020)

    MathSciNet  Google Scholar 

  5. Rao, R.: Jaya: A simple and new optimization algorithm for solving constrained and unconstrained optimization problems. Int. J. Ind. Eng. Comput. 7(1), 19–34 (2016)

    Google Scholar 

  6. Son, N.N., et al.: Parameters identification of Bouc-Wen hysteresis model for piezoelectric actuators using hybrid adaptive differential evolution and Jaya algorithm. Eng. Appl. Artif. Intell. 87, 103317 (2020)

    Article  Google Scholar 

  7. Son, N.N., et al.: Hysteresis identification of piezoelectric actuator using neural network trained by Jaya algorithm. In: 2019 International Symposium on Electrical and Electronics Engineering (ISEE), pp. 172–176 (2019)

    Google Scholar 

  8. Rodríguez-Molina, A., et al.: Multi-objective meta-heuristic optimization in intelligent control: a survey on the controller tuning problem. Appl. Soft Comput. 93, 106342 (2020)

    Article  Google Scholar 

  9. Liang, H., et al.: An improved genetic algorithm optimization fuzzy controller applied to the wellhead back pressure control system. Mech. Syst. Signal Process. 142, 106708 (2020)

    Article  Google Scholar 

  10. Hannan, M.A., et al.: Role of optimization algorithms based fuzzy controller in achieving induction motor performance enhancement. Nat. Commun. 11(1), 1–11 (2020)

    Article  Google Scholar 

  11. Nokhbeh, M.E., et al.: Modelling and Control of Ball-Plate System, p. 15. Amirkabir University of Technology, Teheran (2011)

    Google Scholar 

  12. Chen, Q., et al.: Reinforcement learning-based genetic algorithm in optimizing multidimensional data discretization scheme. Math. Probl. Eng. 2020, 1–13 (2020)

    Google Scholar 

  13. Eltamaly, A.M.: A novel strategy for optimal PSO control parameters determination for PV energy systems. Sustainability 13(2), 1008 (2021)

    Article  Google Scholar 

Download references

Acknowledgements

We acknowledge the support of time and facilities from Ho Chi Minh City University of Technology (HCMUT), VNU-HCM for this study.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Cao Van Kien .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Kien, C.V., Son, N.N., Anh, H.P.H. (2022). Adaptive Fuzzy Sliding Mode Controller for Ball and Plate System Optimizing by Advanced Jaya Algorithm. In: Long, B.T., Kim, H.S., Ishizaki, K., Toan, N.D., Parinov, I.A., Kim, YH. (eds) Proceedings of the International Conference on Advanced Mechanical Engineering, Automation, and Sustainable Development 2021 (AMAS2021). AMAS 2021. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-99666-6_114

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-99666-6_114

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-99665-9

  • Online ISBN: 978-3-030-99666-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics