A hybrid direct-indirect approach for solving the singular optimal control problems of finite and infinite order

DOI10.1007/s40995-017-0176-2zbMath1397.49041OpenAlexW2605243967MaRDI QIDQ1787824

Z. Foroozandeh, Maria do Rosário de Pinho, Mostafa Shamsi

Publication date: 5 October 2018

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40995-017-0176-2

zbMATH Keywords

hybrid methodsingular optimal control problemdirect Euler methodindirect shooting method

Mathematics Subject Classification ID

Discrete approximations in optimal control (49M25) Numerical methods of relaxation type (49M20)

Related Items (5)

A robust pseudospectral method for numerical solution of nonlinear optimal control problems ⋮ Perturbed‐analytic direct transcription for optimal control (PADOC) ⋮ A numerical method based on the complementarity and optimal control formulations for solving a family of zero-sum pursuit-evasion differential games ⋮ A mixed-binary non-linear programming approach for the numerical solution of a family of singular optimal control problems ⋮ The Switch Point Algorithm

Uses Software

• Ipopt
• SOCS

Cites Work

• Unnamed Item
• Unnamed Item
• A shooting algorithm for optimal control problems with singular Arcs
• Direct and indirect methods for trajectory optimization
• Analytical solution for optimal control by the second kind Chebyshev polynomials expansion
• Switching time optimization for bang-bang and singular controls
• Singular arcs in the generalized Goddard's problem
• Singular optimal control problems: On the order of a singular arc
• Numerical solution of singular control problems using multiple shooting techniques
• Numerical computation of optimal feed rates for a fed-batch fermentation model
• Optimal and suboptimal protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• Practical Methods for Optimal Control and Estimation Using Nonlinear Programming
• Definitions of Order and Junction Conditions in Singular Optimal Control Problems
• Application of sparse nonlinear programming to trajectory optimization
• On the application of iterative dynamic programming to singular optimal control problems
• Minimum-time control laws for robotic manipulators
• Numerical treatment of non-linear optimal control problems involving piecewise constant delay
• Path-constrained trajectory optimization using sparse sequential quadratic programming
• The pseudospectral Legendre method for discretizing optimal control problems

This page was built for publication: A hybrid direct-indirect approach for solving the singular optimal control problems of finite and infinite order