State parameterization approach to the solution of optimal control problems

DOI10.1002/oca.4660020307zbMath0476.49022OpenAlexW2035295325MaRDI QIDQ3933530

Harsha Sirisena, Fee Seng Chou

Publication date: 1981

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.4660020307

zbMATH Keywords

cubic splinesdirect methods in optimal control problemsstate parameterization

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical mathematical programming methods (65K05) Newton-type methods (49M15)

Related Items (13)

Stochastic optimization for hydro-thermal power systems ⋮ Development of linear quadratic control laws via control parametrization ⋮ An efficient computational method for the optimal control problem for the Burgers equation ⋮ An adaptive parameter approach for an approximate solution of optimal control problems ⋮ Active control of flexible systems by a mathematical programming approach ⋮ Spectral method for constrained linear-quadratic optimal control ⋮ A numerical approach to an optimal boundary control of the viscous Burgers' equation ⋮ Optimal control computation for linear time-lag systems with linear terminal constraints ⋮ Unnamed Item ⋮ Optimal control computation for nonlinear time-lag systems ⋮ Optimal control of multibody systems in minimal coordinates ⋮ Optimal active pointwise control of thin plates via state-control parametrization ⋮ Modelling techniques for optimal control of distributed parameter systems

Cites Work

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• Convergence of the control parametrization Ritz method for nonlinear optimal control problems
• A numerical study of augmented penalty function algorithms for terminally constrained optimal control problems
• On Polya frequency functions. IV: The fundamental spline functions and their limits
• A generalized gradient method for optimal control problems with inequality constraints and singular arcs
• An efficient algorithm for solving optimal control problems with linear terminal constraints
• A Rapidly Convergent Descent Method for Minimization
• The Gradient Projection Method for Nonlinear Programming. Part II. Nonlinear Constraints
• The Ritz–Galerkin Procedure for Parabolic Control Problems

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