Direct transcription solution of high index optimal control problems and regular Euler-Lagrange equations

DOI10.1016/j.cam.2006.02.024zbMath1116.65078OpenAlexW2068073150MaRDI QIDQ875361

Stephen L. Campbell, Roswitha März

Publication date: 13 April 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.02.024

zbMATH Keywords

optimal controldifferential algebraic equationsnumerical algorithmsdirect transcriptioncontrol selection

Mathematics Subject Classification ID

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

Related Items (6)

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 ⋮ General Nonlinear Differential Algebraic Equations and Tracking Problems: A Robotics Example ⋮ Solving higher index DAE optimal control problems ⋮ The Flexibility of DAE Formulations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Index criteria for differential algebraic equations arising from linear-quadratic optimal control problems
• 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
• Minimum norm regularization of descriptor systems by mixed output feedback
• Numerical computation of an analytic singular value decomposition of a matrix valued function
• Smooth factorizations of matrix valued functions and their derivatives
• Differentiable families of subspaces
• Numerical methods for the computation of analytic singular value decompositions
• The linear quadratic optimal control problem for linear descriptor systems with variable coefficients
• Some comments on DAE theory for IRK methods and trajectory optimization
• Compensating for order variation in mesh refinement for direct transcription methods. II: Computational experience
• Compensating for order variation in mesh refinement for direct transcription methods
• Structural properties and poles assignability of LTI singular systems under output feedback.
• Feedback design for regularizing descriptor systems
• Convergence of Nonconvergent IRK Discretizations of Optimal Control Problems with State Inequality Constraints
• The linear-quadratic optimal regulator for descriptor systems
• Regularization of Linear Descriptor Systems with Variable Coefficients
• An algebraic analysis approach to linear time-varying systems
• A Behavioral Approach to Time-Varying Linear Systems. Part 1: General Theory
• A Behavioral Approach to Time-Varying Linear Systems. Part 2: Descriptor Systems
• On Linear-Quadratic Optimal Control Problems for Time-Varying Descriptor Systems
• Analysis and numerical solution of control problems in descriptor form
• Analysis of over- and underdetermined nonlinear differential-algebraic systems with application to nonlinear control problems

This page was built for publication: Direct transcription solution of high index optimal control problems and regular Euler-Lagrange equations