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Optimal control of a dynamical system representing a gantry crane

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Abstract

Problems arising in the optimal control of gantry crane instaliations are considered. Continuous controls to minimize a control squared objective function are obtained. The amplitude of in-plane oscillations of the suspended mass is assumed small. The optimal controls are sufficiently simple for practical realization.

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References

  1. Hladun, A. R., andVan De Vegte, J.,Design of Optimal Passive Vibration Controls by Optimal Control Techniques, ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 95, No. 4, 1973.

  2. Cooperrider, N. K., Cox, J. J., andHedrick, J. K.,Lateral Dynamics Optimization of a Conventional Railcar, ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 97, No. 3, 1975.

  3. Kriechbaum, G. K. L., andNoges, E.,Suboptimal Control of Nonlinear Dynamical Systems via Linear Approximations, International Journal of Control, Vol. 13, pp. 1183–1195, 1971.

    Google Scholar 

  4. Garg, D. K.,Developments in Nonlinear Controller Synthesis—An Overview, ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 100, No. 1, 1978.

  5. Pontryagin, L. S., Boltyanskii, V. G., Gamkrelidze, R. V., andMishchenko, E. F.,The Mathematical Theory of Optimal Processes, John Wiley and Sons (Interscience Publishers), New York, New York, 1962.

    Google Scholar 

  6. Banichuk, N. V., andChernousko, F. L.,Determination of Optimal and Quasioptimal Controls for a Mechanical Dynamical System, Izvestiya Akademii Nauk USSR, Mekhanika Tverdogo Tela, Vol. 10, No. 2, 1975.

  7. Bryson, A. E., andHo, Y. C.,Applied Optimal Control, Blaisdell, Waltham, Massachusetts, 1968.

    Google Scholar 

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Communicated by D. G. Hull

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Karihaloo, B.L., Parbery, R.D. Optimal control of a dynamical system representing a gantry crane. J Optim Theory Appl 36, 409–417 (1982). https://doi.org/10.1007/BF00934354

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  • DOI: https://doi.org/10.1007/BF00934354

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