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Mathematical modelling of ball and plate system with experimental and correlation function-based model validation

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摘要 The ball and plate system is an inherently nonlinear under actuated benchmark system used for validating the performance of various control schemes. A mathematical model depicting the dynamics close to that of the system is very much required for such a test bed. In this correspondence, the complete nonlinear model, a simplified nonlinear model, and a linearized model of the ball and plate system are developed. The system comprises a ball and plate mechanism and a rotary servo unit. The ball and plate mechanism is modelled using the Euler–Lagrange method, whereas the rotary servo subsystem is modelled from the first principles. The nonlinear model of the combined system is developed by including the dynamics of the servo motor with gear and rolling resistance between the ball and the plate. The simplified nonlinear model of the system is obtained with suitable assumptions. The model is linearized around the operating point using the Jacobian. The validity of the developed models is investigated through correlation function analysis. The open-loop response of the three models, viz., nonlinear, simplified nonlinear, and linearized models, is analyzed in the MATLAB/Simulink platform. Since the open-loop system is unstable, the experimental validation of the model is performed with a double-loop PSO (particle swarm optimization) PID control scheme.
出处 《Control Theory and Technology》 EI CSCD 2024年第2期326-341,共16页 控制理论与技术(英文版)
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  • 1Slim Hachicha,Maher Kharrat,Abdessattar Chaari.N4SID and MOESP Algorithms to Highlight the Ill-conditioning into Subspace Identification[J].International Journal of Automation and computing,2014,11(1):30-38. 被引量:4
  • 2Z. Lin, M. Pachter, S. Banda. Toward improvement of tracking performance nonlinear feedback for linear systems. International Journal of Control, 1998, 70(1 ): 1 - 11.
  • 3B. M. Chen, T. H. Lee, K. Peng, et al. Composite nonlinear feedback control for linear systems with input saturation: theory and an application. IEEE Transactions on Automatic Control, 2003, 48(3): 427 - 439.
  • 4Y. He, B. M. Chen, C. Wu. Composite nonlinear control with state and measurement feedback for general multivariable systems with input saturation. Systems & Control Letters, 2005, 54(5): 455 - 469.
  • 5G. Cheng, B. M. Chert, K. Peng, et al. A MATLAB toolkit for composite nonlinear feedback control. Proceedings of the IEEE Control, Automation, Robotics and Vision Conference. Kunming: IEEE, 2004:878 - 883.
  • 6W. Lan, C. K. Thum, B. M. Chen. A hard-disk-drive servo system design using composite nonlinear-feedback control with optimal nonlinear gain tuning methods. IEEE Transactions on Industrial Electronics, 201 O, 57(5): 1 735- 1745.
  • 7W. Lan, Q. Zhou. Speed control of DC motor using composite nonlinear feedback control. Proceedings of the IEEE International Conference on Control and Automation. Christchurch: IEEE, 2009:2160 - 2164.
  • 8Y. Xiao, W. Lan. Optimal composite nonlinear feedback control for a gantry crane system. Chinese Control Conference. Hefei: IEEE, 2012:601 -606.
  • 9M. F. Ismail, K. Peng, N. Hamzah, et al. A linear model of quarter car active suspension system using composite nonlinear feedback control. IEEE Student Conference on Research and Development (SCORED). Penang: IEEE, 2012: 98- 103.
  • 10A. Pisano, E. Usai. Sliding mode control: a survey with applications in math. Mathematics and Computers in Simulation, 2011, 81(5): 954-979.

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