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Real-Time Time-Optimal Control for a Nonlinear Container Crane Using a Neural Network

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Abstract

This paper considers time-optimal control for a container crane based on a Model Predictive Control approach. The model we use is nonlinear and it is planar, i.e. we only consider the swing (not the skew) and we take constraints on the input signal into consideration. Since the time required for the optimization makes time-optimal not suitable for fast systems and/or complex systems, such as the crane system we consider, we propose an off-line computation of the control law by using a neural network. After the neural network has been trained off-line, it can then be used in an on-line mode as a feedback control strategy.

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References

  • Bartolini, G., Pisano, A., and Usai, E. (2002). Second-order sliding-mode control of container cranes. Automatica, 38:1783–1790.

    Article  MATH  MathSciNet  Google Scholar 

  • Fliess, M., Lévine, J., and Rouchon, P. (1991). A simplified approach of crane control via a generalized state-space model. Proceedings of the 30th Conference on Decision and Control, Brighton, England.

    Google Scholar 

  • Foresee, F. and Hagan, M. (1997). Gauss-newton approximation to bayesian learning. Proceedings of the 1997 International Joint Conference on Neural Networks, pages 1930–1935.

    Google Scholar 

  • Gao, J. and Chen, D. (1997). Learning control of an overhead crane for obstacle avoidance. Proceedings of the American Control Conference, Albuquerque, New Mexico.

    Google Scholar 

  • Giua, A., Seatzu, C., and Usai, G. (1999). Oberservercontroller design for cranes via lyapunov equivalence. Automatica, 35:669–678.

    Article  MATH  Google Scholar 

  • Hämäläinen, J., Marttinen, A., Baharova, L., and Virkkunen, J. (1995). Optimal path planning for a trolley crane: fast and smooth transfer of load. IEEE Proc.-Control Theory Appl., 142(1):51–57.

    Article  MATH  Google Scholar 

  • Kiss, B., Lévine, J., and Mullhaupt, P. (2000). Control of a reduced size model of us navy crane using only motor position sensors. In: Nonlinear Control in the Year 2000, Editor: Isidori, A., F. Lamnabhi-Lagarrigue and W. Respondek. Springer, New York, 2000, Vol.2. pp. 1–12.

    Google Scholar 

  • Klaassens, J., Honderd, G., Azzouzi, A. E., Cheok, K. C., and Smid, G. (1999). 3d modeling visualization for studying control of the jumbo container crane. Proceedings of the American Control Conference, San Diego, California, pages 1754–1758.

    Google Scholar 

  • Mackay, D. (1992). Bayesian interpolation. Neural Computation, 4(3):415–447.

    Google Scholar 

  • Marttinen, A., Virkkunen, J., and Salminen, R. (1990). Control study with a pilot crane. IEEE Transactions on education, 33(3):298–305.

    Article  Google Scholar 

  • Parisini, T. and Zoppoli, R. (1995). A receding-horizon regulator for nonlinear systems and a neural approximation. Automatica, 31(10):1443–1451.

    Article  MATH  MathSciNet  Google Scholar 

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© 2007 Springer

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Boom, T.v., Klaassens, J., Meiland, R. (2007). Real-Time Time-Optimal Control for a Nonlinear Container Crane Using a Neural Network. In: Filipe, J., Ferrier, JL., Cetto, J.A., Carvalho, M. (eds) Informatics in Control, Automation and Robotics II. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5626-0_10

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  • DOI: https://doi.org/10.1007/978-1-4020-5626-0_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-5625-3

  • Online ISBN: 978-1-4020-5626-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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