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Position Control and Tracking of Ball and Plate System Using Fuzzy Sliding Mode Controller

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Afro-European Conference for Industrial Advancement

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 334))

Abstract

Sliding mode control, one of the tools available to design robust controllers, is introduced in the outer loop of a double-loop feedback control of the Ball and Plate (B&P) system. Fuzzy Logic is used to attenuate the chattering introduced by Sliding mode control. Genetic algorithm is implemented to determine the parameters of the fuzzy system in an optimal manner. Linear algebraic method is used to design an inner loop angle controller by solving a set of Diophantine equations. The mathematical model of the B&P system, obtained from Euler-Lagrange Equations of Motion, of the proposed controller is evaluated through simulation studies. Simulation results show that the ball could be stabilized anywhere on the plate in 3.5 seconds and it could also track a circular trajectory of 0.4 m radius at 0.8 rad/s in 10 seconds without significant chattering.

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References

  1. Liu, H., Liang, Y.: Trajectory tracking sliding mode control of ball and plate system. In: 2nd International Asia Conference on Informatics in Control, Automation and Robotics, vol. 3, pp. 142–145. IEEE Press, NJ (2010)

    Google Scholar 

  2. Wang, H., Tian, Y., Sui, Z., Zhang, X., Ding, C.: Tracking Control of Ball and Plate System with a Double Feedback Loop Structure. In: International Conference on Mechatronics and Automation, ICMA 2007, pp. 1114–1119. IEEE Press (2007)

    Google Scholar 

  3. Wellstead, P.E.: Introduction to Physical System Modeling. Academic Press Ltd, London (1979)

    Google Scholar 

  4. Fan, X., Zhang, N., Teng, S.: Trajectory planning and tracking of ball and plate system using hierarchical fuzzy control scheme. Fuzzy Sets and Systems 144(2), 297–312 (2004)

    Article  MathSciNet  Google Scholar 

  5. Wang, W.: Control of a Ball and Beam System, http://data.mecheng.adelaide.edu.au/robotics/projects/2007/BallBeam/Wei_Final_Thesis.pdf

  6. Knuplei, A., Chowdhur, A., SveEko, R.: Modeling and Control design for the ball and plate system. In: International Conference on Industrial Technology, pp. 216–221. IEEE Press, Shanghai (2009)

    Google Scholar 

  7. Liu, D., Tian, Y., Duan, H.: Ball and Plate Control System based on sliding mode control with uncertain items observe compensation. In: International Conference of Intelligent Computing and Intelligent Systems, vol. 2, pp. 216–221. IEEE Press (2003)

    Google Scholar 

  8. Chen, C.-T.: Analog and Digital Control System Design: transfer-Function, State-Space and Algebraic Methods. Saunders College Publishing (2006)

    Google Scholar 

  9. Duan, H., Tian, Y., Wang, G.: Trajectory Tracking Control of Ball and Plate System Based on Auto-Disturbance Rejection Controller. In: Asian Control Conference, pp. 471–476. IEEE Press (2009)

    Google Scholar 

  10. Moarref, M., Saadat, M., Vossoughi, G.: Mechatronic Design and Position Control of a Novel Ball and Plate System. In: Mediterranean Conference of Control and Automation, pp. 1071–1076. IEEE Press (2008)

    Google Scholar 

  11. Ashrafzadeh, F., Nowicki, E.P., Boozarjomehryj, R., Salmon, J.C.: Optimal synthesis of fuzzy sliding mode controllers [for induction motors]. In: Thirty-First IAS Annual Meeting on Industry Applications Conference, vol. 3, pp. 1741–1745. IEEE Press (1996)

    Google Scholar 

  12. Hung, J.Y., Hung, J.C.: Chatter reduction in variable structure control. In: 20th International Conference on Industrial Electronics, Control and Instrumentation, vol. 3, pp. 1914–1918. IEEE Press (1994)

    Google Scholar 

  13. Rojko, A., Jezernik, K.: Adaptive Fuzzy Sliding Mode Control of Robot Manupilator. In: The 15th IFAC World Congress, vol. 15, pp. 1077–1077. International Federation of Automatic Control (2002)

    Google Scholar 

  14. Hung, J.Y., Gao, W., Hung, J.C.: Variable Structure Control: A Survey. IEEE Transactions on Industrial Electronics 15, 2–22 (1993)

    Article  Google Scholar 

  15. Andrews, G., Colasuonno, C., Herrmann, A.: Ball on Plate Balancing System, Rensselaer Polytechnic Institute (2004), http://cats-fs.rpi.edu/

  16. Slotine, J.-J.E., Li, W.: Nonlinear Applied Control. Prentice-Hall, Inc. (1991)

    Google Scholar 

  17. Kung, C.-C., Liao, C.-C.: Fuzzy-sliding mode controller design for tracking control of nonlinear system. In: American Control Conference, vol. 1, pp. 180–184. IEEE (1994)

    Google Scholar 

  18. Song, F.: Smith, S.M.: A comparison of sliding mode fuzzy controller and fuzzy sliding mode controller. In: 19th International Conference of the North American Fuzzy Information Processing Society, pp. 480–484. IEEE (2000)

    Google Scholar 

  19. Ross, T.J.: Fuzzy Logic with Engineering Applications, Second Edition. John Wiley & Sons, Ltd. (2004)

    Google Scholar 

  20. Sabanovic, A., Fridman, L.M., Spurgeon, S.K.: Variable Structure Systems: From Principles to Implementation. The Institution of Engineering and Technology (2004)

    Google Scholar 

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Correspondence to Andinet Negash .

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Negash, A., Singh, N.P. (2015). Position Control and Tracking of Ball and Plate System Using Fuzzy Sliding Mode Controller. In: Abraham, A., Krömer, P., Snasel, V. (eds) Afro-European Conference for Industrial Advancement. Advances in Intelligent Systems and Computing, vol 334. Springer, Cham. https://doi.org/10.1007/978-3-319-13572-4_10

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  • DOI: https://doi.org/10.1007/978-3-319-13572-4_10

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-13571-7

  • Online ISBN: 978-3-319-13572-4

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