Pseudospectral optimal train control

DOI10.1016/j.ejor.2020.10.018zbMath1487.49048OpenAlexW3095545966MaRDI QIDQ2030583

Pengling Wang, Rob M. P. Goverde, Gerben M. Scheepmaker

Publication date: 7 June 2021

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2020.10.018

zbMATH Keywords

pseudospectral methodsingular solutionPontryagin's maximum principleoptimal train controltrain trajectory optimization

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Numerical methods based on nonlinear programming (49M37) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (4)

Robust optimal control of compartmental models in epidemiology: application to the COVID-19 pandemic ⋮ A penalty function-based random search algorithm for optimal control of switched systems with stochastic constraints and its application in automobile test-driving with gear shifts ⋮ \texttt{TTOBench} -- an open-source library for train trajectory optimization ⋮ Optimal control of nonlinear systems with integer‐valued control inputs and stochastic constraints

Uses Software

• GPOPS
• SOCS

Cites Work

• Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method
• A unified framework for the numerical solution of optimal control problems using pseudospectral methods
• Connections between the covector mapping theorem and convergence of pseudospectral methods for optimal control
• Local energy minimization in optimal train control
• Review of energy-efficient train control and timetabling
• Optimal strategies for the control of a train
• Multi-train trajectory optimization for energy-efficient timetabling
• Optimization and optimal control in automotive systems
• On an optimal control problem of train operation
• Algorithm 902
• Aphmesh refinement method for optimal control
• Practical Methods for Optimal Control and Estimation Using Nonlinear Programming
• The pseudospectral Legendre method for discretizing optimal control problems
• An hp‐adaptive pseudospectral method for solving optimal control problems
• GPOPS-II
• The optimal control of a train
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Pseudospectral optimal train control