Direct shooting method for the numerical solution of higher-index DAE optimal control problems

DOI10.1023/A:1023679622905zbMath1033.65046OpenAlexW1530113549MaRDI QIDQ1411504

Matthias Gerdts

Publication date: 29 October 2003

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023679622905

zbMATH Keywords

optimal controldifferential-algebraic systemsnonlinear programmingconsistent initial valuesdirect shooting methodhigher-index DAE systemssensitivity of DAE systems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical methods for differential-algebraic equations (65L80)

Related Items (16)

DAEs in Model Reduction of Chemical Processes: An Overview ⋮ A Survey on Optimal Control Problems with Differential-Algebraic Equations ⋮ Representation of the Lagrange multipliers for optimal control problems subject to differential-algebraic equations of index two ⋮ Local minimum principle for optimal control problems subject to differential-algebraic equations of index two ⋮ Generating locally optimal trajectories for an automatically driven car ⋮ Optimal control and applications to aerospace: some results and challenges ⋮ Simulation of multibody systems with servo constraints through optimal control ⋮ Direct Optimal Control and Model Predictive Control ⋮ A high-precision single shooting method for solving hypersensitive optimal control problems ⋮ On lifting operators and regularity of nonsmooth Newton methods for optimal control problems of differential algebraic equations ⋮ A globally convergent semi-smooth Newton method for control-state constrained DAE optimal control problems ⋮ Approximation of reachable sets by direct solution methods for optimal control problems ⋮ Time-optimal control of automobile test drives with gear shifts ⋮ dsoa : The implementation of a dynamic system optimization algorithm ⋮ Boundary-Value Problems for Differential-Algebraic Equations: A Survey ⋮ A nonsmooth Newton's method for control-state constrained optimal control problems

Uses Software

• DASSL
• SIMPACK
• NPSOL
• NLPQL

Cites Work

• The nonlinear programming method of Wilson, Han, and Powell with an augmented Lagrangian type line search function. I. Convergence analysis
• Introduction to sensitivity and stability analysis in nonlinear programming
• Numerical solution of differential-algebraic equations for constrained mechanical motion
• Automatic integration of Euler-Lagrange equations with constraints
• Efficient sensitivity analysis of large-scale differential-algebraic systems
• Consistent intialization of sensitivity matrices for a class of parametric DAE systems
• The index of general nonlinear DAEs
• Stabilization of constraints and integrals of motion in dynamical systems
• Convergence Results for a Coordinate Projection Method Applied to Mechanical Systems with Algebraic Constraints
• Projected Implicit Runge–Kutta Methods for Differential-Algebraic Equations
• Sparse Jacobian updates in the collocation method for optimal control problems
• Differential-Algebraic Equation Index Transformations
• Exploiting Invariants in the Numerical Solution of Multipoint Boundary Value Problems for DAE
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Direct shooting method for the numerical solution of higher-index DAE optimal control problems