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Iterative Learning Control with Initial State Learning for Non-affine Nonlinear System

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 173))

Abstract

In this paper, for non-affine nonlinear system, a closed-loop PD-type iterative learning control algorithm with initial state learning is proposed and the sufficient condition for convergence is put forward. Using the contraction mapping method, it is proved that the output of the system with an arbitrary initial state can track the desired trajectory completely after iteration. The problem of convergence with initial state unknown is solved. The simulation results testify that the proposed algorithm is effective.

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References

  1. Sun, M., Huang, B.: Iterative Learning Control. National Defense Industry Press, Beijing (1999)

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  2. Sun, Y., Li, Z.: Open-loop D-Type Iterative Learning Control for a Class of Nonlinear Systems with Arbitrary Initial Value. Journal of System Simulation 20, 6767–6770 (2008)

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  3. Sun, M.: Iterative learning control with initial state learning. Control and Decision 22, 848–852 (2007)

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  4. Sun, Y., Li, Z.: Open-Loop PD-Type Iterative Learning Control for a C lass of Nonlinear Systems With Control Delay and Arbitrary Initial Value. Measurement & Control Technology 28, 51–57 (2009)

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  5. Cao, W., Dai, X.: Closed-loop PD-type Iterative Learning Control with Initial State Learning. Journal of Wuhan University of Technology 32, 98–102 (2010)

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  6. Li, S., Sun, M.: Iterative learning control with initial state learning for non-affine nonlinear system. Journal of Zhejiang University of Technology 8, 268–272 (2010)

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Correspondence to Jingcai Bai .

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© 2012 Springer-Verlag Berlin Heidelberg

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Bai, J., Yang, X., Wu, J. (2012). Iterative Learning Control with Initial State Learning for Non-affine Nonlinear System. In: Deng, W. (eds) Future Control and Automation. Lecture Notes in Electrical Engineering, vol 173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31003-4_26

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  • DOI: https://doi.org/10.1007/978-3-642-31003-4_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31002-7

  • Online ISBN: 978-3-642-31003-4

  • eBook Packages: EngineeringEngineering (R0)

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