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Boundary Iterative Learning Control of an Euler-Bernoulli Beam System

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Neural Information Processing (ICONIP 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10639))

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Abstract

In this article, through combining boundary control, adaptive technique with iterative learning control, a control strategy is developed for improving the tracing accurate and achieving the vibration suppression for the Euler-Bernoulli beam system. The dynamics of Euler-Bernoulli beam system can be written as partial-ordinary differential equations. With designed adaptive iterative learning control strategy, the unexpected spillover problem is suppressed and the learning convergence of iterative learning control is also mathematically achieved. Finally, the validity is illustrated by numerical simulation results.

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References

  1. Li, X.F., Xu, J.X., Huang, D.Q.: An iterative learning control approach for linear time-invariant systems with randomly varying trial lengths. IEEE Trans. Autom. Control. 59(7), 1954–1960 (2014)

    Article  MATH  Google Scholar 

  2. Chen, Y.Q., Moore, K.L., Yu, J., Zhang, T.: Iterative learning control and repetitive control in hard disk drive industry-a tutorial. In: 45th IEEE Conference on Decision and Control, pp. 2338–2351. IEEE Press, San Diego (2006)

    Google Scholar 

  3. Liu, Y., Guo, F., Zhao, Z.J.: Boundary barrier-based control of a flexible riser system. IET Control Theory Appl. 11(7), 923–930 (2017)

    Article  MathSciNet  Google Scholar 

  4. Liu, Z.J., Liu, J.K.: Boundary control of a flexible robotic manipulator with output constraints. Asian J. Control. 19(1), 332–345 (2017)

    Article  MATH  MathSciNet  Google Scholar 

  5. Ge, S.S., Zhang, S., He, W.: Vibration control of an Euler-Bernoulli beam under unknown spatiotemporally varying disturbance. Int. J. Control. 84(5), 947–960 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  6. Balas, M.J.: Active control of flexible systems. J. Optimiz. Theory App. 25(3), 415–436 (1978)

    Article  MATH  MathSciNet  Google Scholar 

  7. Sakawa, Y., Matsuno, F., Fukushima, S.: Modeling and feedback control of a flexible arm. J. Robot. Syst. 2(4), 453–472 (1985)

    Article  Google Scholar 

  8. Zhao, Z.J., Liu, Y., He, W., et al.: Adaptive boundary control of an axially moving belt system with high acceleration/deceleration. IET Control Theory Appl. 10(11), 1299–1306 (2016)

    Article  MathSciNet  Google Scholar 

  9. Feng, Z.G., Lam, J., Shu, Z.: Dissipative control for linear systems by static output feedback. Int. J. Syst. Sci. 44(8), 1566–1576 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  10. Liu, Y., Zhao, Z.J., He, W.: Stabilization of an axially moving accelerated/decelerated system via an adaptive boundary control. ISA Trans. 64, 394–404 (2016)

    Article  Google Scholar 

  11. He, W., Ge, S.S.: Vibration control of a flexible beam with output constraint. IEEE Trans. Ind. Electron. 62(8), 5023–5030 (2015)

    Article  Google Scholar 

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Acknowledgments

This work was supported in part by the Science and Technology Planning Project of Guangdong Province (2016B090912003, 2016A010106007, 2016B090927010, 2016B010126001, 2015B010101003, 2015B010919003), and by the Fundamental Research Funds for the Central Universities of SCUT (2017ZD058).

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Correspondence to Yu Liu .

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Liu, Y., Deng, X., Guo, F., He, W. (2017). Boundary Iterative Learning Control of an Euler-Bernoulli Beam System. In: Liu, D., Xie, S., Li, Y., Zhao, D., El-Alfy, ES. (eds) Neural Information Processing. ICONIP 2017. Lecture Notes in Computer Science(), vol 10639. Springer, Cham. https://doi.org/10.1007/978-3-319-70136-3_26

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  • DOI: https://doi.org/10.1007/978-3-319-70136-3_26

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70135-6

  • Online ISBN: 978-3-319-70136-3

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