Direct transcription solution of higher-index optimal control problems and the virtual index

DOI10.1016/j.apnum.2006.03.012zbMath1113.65066OpenAlexW2078648192MaRDI QIDQ870301

A. Engelsone, John T. Betts, Stephen L. Campbell

Publication date: 12 March 2007

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2006.03.012

zbMATH Keywords

optimal controldifferential algebraic equationdirect transcription

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Implicit ordinary differential equations, differential-algebraic equations (34A09) Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical methods for differential-algebraic equations (65L80)

Related Items (12)

Linear Differential Algebraic Equations and Observers ⋮ A Survey on Optimal Control Problems with Differential-Algebraic Equations ⋮ Comments on direct transcription solution of DAE constrained optimal control problems with two discretization approaches ⋮ Direct transcription solution of higher-index optimal control problems and the virtual index ⋮ Direct transcription solution of high index optimal control problems and regular Euler-Lagrange equations ⋮ A symplectic indirect approach for a class of nonlinear optimal control problems of differential‐algebraic systems ⋮ General Nonlinear Differential Algebraic Equations and Tracking Problems: A Robotics Example ⋮ Solving higher index DAE optimal control problems ⋮ The Flexibility of DAE Formulations ⋮ Optimal power split in a hybrid electric vehicle using direct transcription of an optimal control problem ⋮ Solving optimal control problems with control delays using direct transcription ⋮ Lobatto IIIA methods, direct transcription, and DAEs with delays

Uses Software

• SOCS

Cites Work

• Direct transcription solution of higher-index optimal control problems and the virtual index
• On the existence of bases of class \(C^ p\) of the kernel and the image of a matrix function
• Direct transcription solution of optimal control problems with higher-order state constraints: theory vs practice
• Adjoint estimation using direct transcription multipliers: compressed trapezoidal method
• Differentiable families of subspaces
• Runge-Kutta methods in optimal control and the transformed adjoint system
• Convergence of Nonconvergent IRK Discretizations of Optimal Control Problems with State Inequality Constraints
• Error Estimates for a Discrete Approximation to Constrained Control Problems
• Rates of Convergence for Discrete Approximations to Unconstrained Control Problems
• Second-Order Runge--Kutta Approximations in Control Constrained Optimal Control
• The Euler approximation in state constrained optimal control
• Unnamed Item

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