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.
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References
Ma, J., et al.: Observer integrated back-stepping control for a ball and plate system. Int. J. Dyn. Control 9(1), 141–148 (2021)
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)
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)
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)
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)
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)
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)
RodrÃguez-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)
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)
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)
Nokhbeh, M.E., et al.: Modelling and Control of Ball-Plate System, p. 15. Amirkabir University of Technology, Teheran (2011)
Chen, Q., et al.: Reinforcement learning-based genetic algorithm in optimizing multidimensional data discretization scheme. Math. Probl. Eng. 2020, 1–13 (2020)
Eltamaly, A.M.: A novel strategy for optimal PSO control parameters determination for PV energy systems. Sustainability 13(2), 1008 (2021)
Acknowledgements
We acknowledge the support of time and facilities from Ho Chi Minh City University of Technology (HCMUT), VNU-HCM for this study.
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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
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DOI: https://doi.org/10.1007/978-3-030-99666-6_114
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