A sequential computational approach to optimal control problems for differential-algebraic systems based on efficient implicit Runge-Kutta integration

DOI10.1016/j.apm.2017.05.015zbMath1480.49031OpenAlexW2613507728MaRDI QIDQ2295331

Ming Yu, Canghua Jiang, Hai Wang, Kun Xie, Chang Jun Yu, Yi-Gang He, Kok Lay Teo

Publication date: 12 February 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2017.05.015

zbMATH Keywords

sensitivityoptimal controlimplicit Runge-Kutta methoddifferential-algebraic equationdelta robotswitching time instant

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Discrete approximations in optimal control (49M25)

Related Items (7)

A symplectic direct method for motion-driven optimal control of mechanical systems ⋮ Direct optimal control for time-delay systems via a lifted multiple shooting algorithm ⋮ An efficient adjoint computational method based on lifted IRK integrator and exact penalty function for optimal control problems involving continuous inequality constraints ⋮ Efficient delay and parameter estimation for nonlinear systems based on lifted IRK integrators with inexact Jacobians ⋮ A symplectic indirect approach for a class of nonlinear optimal control problems of differential‐algebraic systems ⋮ Control parameterization approach to time-delay optimal control problems: a survey ⋮ On the optimal control problems with characteristic time control constraints

Uses Software

• SUNDIALS
• RODAS
• ACADO
• Ipopt
• IDAS

Cites Work

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• SUNDIALS
• Numerical procedure for optimal control of higher index DAEs
• Runge-Kutta based procedure for the optimal control of differential-algebraic equations
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• On solving optimal control problems with higher index differential-algebraic equations
• ACADO toolkit-An open-source framework for automatic control and dynamic optimization
• The Consistent Initialization of Differential-Algebraic Systems
• Nonlinear Programming
• Autogenerating microsecond solvers for nonlinear MPC: A tutorial using ACADO integrators

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