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Iterative Learning Control Analysis Based on Hopfield Neural Networks

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Advances in Neural Networks – ISNN 2007 (ISNN 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4493))

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Abstract

Iterative learning control problem based on improved discrete-time Hopfield neural networks is considered in this paper. For the every process of iterative learning control, the neural networks execute a cycle that includes variable terms of learning time and training iterative number. The iterative learning control with improved Hopfield neural networks is formulated that can be described as a two-dimensional (2-D) Roesser model with variable coefficients. In terms of 2-D systems theory, sufficient conditions that iterative learning error approaches to zero are given. It has been shown that convergence of iterative learning control problem based on Hopfield neural networks is derived by 2-D systems theory instead of conventional algorithms that minimize a cost function.

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References

  1. Chew, W., Choi, C.H., Ahn, H.S.: Technical Note on Iterative Learning Control for Constrained Nonlinear Systems. International Journal of Systems Science 30, 659–664 (1999)

    Article  Google Scholar 

  2. Chow, T.W.S., Fang, Y.: A Recurrent Neural-Network-Based Real-Time Learning Control Strategy Applying to Nonlinear Systems with Unknown Dynamics. IEEE Transactions on Industrial Electronics 45, 151–161 (1998)

    Article  MathSciNet  Google Scholar 

  3. Chow, T.W.S., Li, X.D.: A Real-Time Learning Control Approach for Nonlinear Continuous-Time System Using Recurrent Neural Network. IEEE Transactions on Industrial Electronics 47, 478–486 (2000)

    Article  MathSciNet  Google Scholar 

  4. Chow, T.W.S., Fang, Y.: An Iterative Learning Control Method for Continuous-Time Systems Based on 2-D System Theory. IEEE Transactions on Cirfuits and Systems–I Fundamental Theory and Applications 45, 683–689 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  5. Jiang, P., Unbehauen, R.: Iterative Learning Neural Network Control for Nonlinear Systems Trajectory Tracking. Neucomputing 48, 141–153 (2002)

    Article  MATH  Google Scholar 

  6. Kaczorek, T., Klamka, J.: Minimum Energy Control of 2-D Linear Systems with Variable Coefficients. International Journal of Control 44, 645–650 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  7. Kang, J.L., Tang, W.S., Mao, Y.Y.: A New Iterative Learning Control Algorithm for Output Tarcking of Nonlinear Systems. In: Proceedings of the Forth International Conference on Machine Learning and Cybernetics, vol. 3, pp. 1240–1243 (2005)

    Google Scholar 

  8. Kurek, J.E., Zaremba, M.B.: Iterative Learning Control Synthesis Based on 2-D System Theory. IEEE Transactions on Automatic Control 38, 121–125 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  9. Li, X.D., Ho, J.L.K., Chow, T.W.S.: Iterative Learning Control for Linear Time-Variant Discrete Systems Based on 2-D System Theory. IEE Proceedings of Control Theory and Applications 152, 13–18 (2005)

    Article  Google Scholar 

  10. Li, X.D., Chow, T.W.S.: 2-D System Theory Based on Iterative Learning Control for Linear Continuous Systems with Time Delays. IEEE Transactions on Circuits and Systems–I Regular Papers 52, 1421–1430 (2005)

    Article  MathSciNet  Google Scholar 

  11. Xu, J.X., Tian, Y.: Linear and Nonlinear Iterative Learning Control. Springer, New York (2003)

    MATH  Google Scholar 

  12. Yamakita, M., Ueno, M., Sadahiro, T.: Trajectory Tracking Control by an Adaptive Iterative Learning Control with Artificial Neural Network. In: Proceedings of the American Control Conference, vol. 48, pp. 1253–1255 (2001)

    Google Scholar 

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Derong Liu Shumin Fei Zengguang Hou Huaguang Zhang Changyin Sun

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© 2007 Springer Berlin Heidelberg

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Kang, J., Tang, W. (2007). Iterative Learning Control Analysis Based on Hopfield Neural Networks. In: Liu, D., Fei, S., Hou, Z., Zhang, H., Sun, C. (eds) Advances in Neural Networks – ISNN 2007. ISNN 2007. Lecture Notes in Computer Science, vol 4493. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72395-0_21

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  • DOI: https://doi.org/10.1007/978-3-540-72395-0_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72394-3

  • Online ISBN: 978-3-540-72395-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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