Touch points in optimal trajectories with first-order state inequality constraints

Sang-Young Park, S. R. Vadali, K. Qassim

Research output: Contribution to conferencePaper

Abstract

Optimal trajectories of the Advanced Launch System (ALS) with a dynamic pressure inequality constraint (first order) are obtained using the method of multiple shooting. The numerical results demonstrate the existence of a touch point in the optimal trajectory for a special value of the dynamic pressure limit. This study verifies that optimal control problems with first order state inequality constraints can have boundary arcs and also an extremal arc touching the boundary. Hence, these two structures of the optimal trajectory must be considered in many aerospace problems with first order state inequality constraints.

Original languageEnglish
Pages1844-1851
Number of pages8
Publication statusPublished - 1995 Jan 1
EventGuidance, Navigation, and Control Conference, 1995 - Baltimore, United States
Duration: 1995 Aug 71995 Aug 10

Other

OtherGuidance, Navigation, and Control Conference, 1995
CountryUnited States
CityBaltimore
Period95/8/795/8/10

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All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering
  • Aerospace Engineering
  • Control and Systems Engineering

Cite this

Park, S-Y., Vadali, S. R., & Qassim, K. (1995). Touch points in optimal trajectories with first-order state inequality constraints. 1844-1851. Paper presented at Guidance, Navigation, and Control Conference, 1995, Baltimore, United States.
Park, Sang-Young ; Vadali, S. R. ; Qassim, K. / Touch points in optimal trajectories with first-order state inequality constraints. Paper presented at Guidance, Navigation, and Control Conference, 1995, Baltimore, United States.8 p.
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Park, S-Y, Vadali, SR & Qassim, K 1995, 'Touch points in optimal trajectories with first-order state inequality constraints' Paper presented at Guidance, Navigation, and Control Conference, 1995, Baltimore, United States, 95/8/7 - 95/8/10, pp. 1844-1851.

Touch points in optimal trajectories with first-order state inequality constraints. / Park, Sang-Young; Vadali, S. R.; Qassim, K.

1995. 1844-1851 Paper presented at Guidance, Navigation, and Control Conference, 1995, Baltimore, United States.

Research output: Contribution to conferencePaper

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Park S-Y, Vadali SR, Qassim K. Touch points in optimal trajectories with first-order state inequality constraints. 1995. Paper presented at Guidance, Navigation, and Control Conference, 1995, Baltimore, United States.