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Journal of Optimization Theory and Applications

, Volume 2, Issue 6, pp 395–410 | Cite as

Computational results for extensions in quasilinearization techniques for optimal control

  • C. T. Leondes
  • G. Paine
Contributed Papers

Abstract

In a companion paper (Ref. 1), several extensions in quasilinearization were presented. These results are studied computationally in this paper for two problems: the brachistochrone problem and the reentry vehicle problem. For the brachistochrone free-time problem, it is shown that much more rapid convergence is obtained than that presented in previous literature (Ref. 2). It is also shown that, if the techniques of the companion paper are used, the normal region of convergence is extended significantly. Similar results are obtained for the reentry vehicle problem.

Keywords

Computational Result Previous Literature Companion Paper Normal Region Rapid Convergence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Leondes, C. T., andPaine, G.,Extensions in Quasilinearization Techniques for Optimal Control, Journal of Optimization Theory and Applications, No. 5, Vol. 2, 1968.Google Scholar
  2. 2.
    McGill, R., andKenneth, P.,Two Point Boundary Value Problem Techniques, Engineering Report No. GRD-100A, Grumman Aircraft Engineering Corporation, 1966.Google Scholar
  3. 3.
    Scharmack, D. K.,An Initial Value Method for Trajectory Optimization, Advances in Control Systems, Vol. 5, Edited by C. T. Leondes, Academic Press, New York, 1967.Google Scholar
  4. 4.
    Scharmack, D. K.,Applications of Optimization Theory, Part II, The Equivalent Minimization Problem and the Newton-Raphson Method, Proceedings of the Optimum System Synthesis Conference, Wright-Patterson AFB, Technical Documentary Report No. ADS-TDR-63-119, 1963.Google Scholar
  5. 5.
    Breakwell, J. V., Speyer, J. L., andBryson, A. E.,Optimization and Control of Nonlinear Systems Using the Second Variation, SIAM Journal on Control, Vol. 1, No. 2, 1963.Google Scholar
  6. 6.
    Payne, J. A.,Computational Methods in Optimal Control Problems, University of California at Los Angeles, Ph.D. Thesis, 1965.Google Scholar
  7. 7.
    Paine, G.,The Application of the Method of Quasilinearization to the Computation of Optimal Control, University of California at Los Angeles, Ph.D. Thesis, 1967.Google Scholar
  8. 8.
    Kopp, R., andMoyer, H. G.,Trajectory Optimization Techniques, Advances in Control Systems, Vol. 3, Edited by C. T. Leondes, Academic Press, New York, 1966.Google Scholar

Copyright information

© Plenum Publishing Corporation 1968

Authors and Affiliations

  • C. T. Leondes
    • 1
  • G. Paine
    • 2
  1. 1.University of California at Los AngelesLos Angeles
  2. 2.Jet Propulsion LaboratoryPasadena

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