A computational technique for optimal control problems having singular arcs†

DOI10.1080/00207177208932258zbMath0241.49021OpenAlexW2053040438MaRDI QIDQ5651827

W. H. Ray, Moustafa A. Soliman

Publication date: 1972

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207177208932258

Mathematics Subject Classification ID

Quadratic programming (90C20)

Related Items (8)

Numerical methods for singular optimal control ⋮ Mathematical theory of optimal control ⋮ Singular problems in optimal control—a survey ⋮ On the optimal control of systems having pure time delays and singular arcs II. Computational considerations† ⋮ A modified pseudospectral method for solving trajectory optimization problems with singular arc ⋮ Numerical solution of singular control problems using multiple shooting techniques ⋮ A mixed-binary non-linear programming approach for the numerical solution of a family of singular optimal control problems ⋮ Sub-optimal open-loop control of non-linear systems using approximations for the controls

Cites Work

• A note on a singular optimal control problem
• The conjugate gradient method for optimal control problems with bounded control variables
• Function minimization by conjugate gradients
• Necessary Conditions for Singular Extremals Involving Multiple Control Variables
• Optimal control of saturating linear plants for quadratic performance indices
• An integral-equation function-space method for solving inequality-constrained optimal control problems†
• Methods of conjugate gradients for solving linear systems

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