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Parallelization of the Volterra algorithm for linear optimal open loop control

Publication ,  Journal Article
Das, SK; Utku, S; Salama, M
Published in: Computational Mechanics
July 1, 1989

If and when the time variation of optimal controls of a linear system subject to known forces is required, they can be obtained by the computationally advantageous open loop Volterra formulation (as opposed to the costlier Riccati formulation). For the computation, the Volterra equation is discretized in the time domain via such schemes as trapezoidal integration or SIMPSON's rule and the resulting linear system is solved to obtain the control vector values at discrete time points within the control time T. In the case of very large order systems (degrees of freedom ∼ 5000) a parallel technique is absolutely neccessary, and this paper enunciates an efficient parallel stratagem with efficiencies in the range of 80% and 100%. The algorithm uses 's + 1' processors, 's' being the number of intervals within the control time T, and typically each processor characterizes one time point. © 1989 Springer-Verlag.

Duke Scholars

Published In

Computational Mechanics

DOI

EISSN

1432-0924

ISSN

0178-7675

Publication Date

July 1, 1989

Volume

5

Issue

4

Start / End Page

305 / 320

Related Subject Headings

  • Applied Mathematics
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
 

Citation

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Das, S. K., Utku, S., & Salama, M. (1989). Parallelization of the Volterra algorithm for linear optimal open loop control. Computational Mechanics, 5(4), 305–320. https://doi.org/10.1007/BF01046948
Das, S. K., S. Utku, and M. Salama. “Parallelization of the Volterra algorithm for linear optimal open loop control.” Computational Mechanics 5, no. 4 (July 1, 1989): 305–20. https://doi.org/10.1007/BF01046948.
Das SK, Utku S, Salama M. Parallelization of the Volterra algorithm for linear optimal open loop control. Computational Mechanics. 1989 Jul 1;5(4):305–20.
Das, S. K., et al. “Parallelization of the Volterra algorithm for linear optimal open loop control.” Computational Mechanics, vol. 5, no. 4, July 1989, pp. 305–20. Scopus, doi:10.1007/BF01046948.
Das SK, Utku S, Salama M. Parallelization of the Volterra algorithm for linear optimal open loop control. Computational Mechanics. 1989 Jul 1;5(4):305–320.
Journal cover image

Published In

Computational Mechanics

DOI

EISSN

1432-0924

ISSN

0178-7675

Publication Date

July 1, 1989

Volume

5

Issue

4

Start / End Page

305 / 320

Related Subject Headings

  • Applied Mathematics
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering