A numerical method for solving optimal control problems using state parametrization

DOI10.1007/s11075-006-9035-5zbMath1101.65071OpenAlexW1998059425MaRDI QIDQ2431787

H. Hashemi Mehne, Akbar Hashemi Borzabadi

Publication date: 24 October 2006

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-006-9035-5

zbMATH Keywords

convergencenumerical examplesiterative methodnonlinear programming

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (12)

A numerical method based on Cardan polynomials for solving optimal control problems ⋮ Constructing a Polynomial Method in the State Space for a Nonlinear Optimal Control Problem ⋮ Spectral homotopy analysis method and its convergence for solving a class of nonlinear optimal control problems ⋮ State parametrization method based on shifted Legendre polynomials for solving fractional optimal control problems ⋮ Unnamed Item ⋮ Suboptimal control strategies for finite-time nonlinear processes with input constraints ⋮ Solving optimal control problem using Hermite wavelet ⋮ Analytical solution for optimal control by the second kind Chebyshev polynomials expansion ⋮ Optimal solution of a reaction-diffusion system with a control discrete source term ⋮ Visual MISER: an efficient user-friendly visual program for solving optimal control problems ⋮ Unnamed Item ⋮ Unnamed Item

Uses Software

• MISER3

Cites Work

• On a class of optimal control problems with state jumps
• Suboptimal control for nonlinear systems: a successive approximation approach
• The control parameterization enhancing transform for constrained optimal control problems
• Construction of optimal feedback control for nonlinear systems via Chebyshev polynomials
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