Examination of solving optimal control problems with delays using GPOPS-II

DOI10.3934/naco.2020026zbMath1479.49074OpenAlexW3034865146MaRDI QIDQ2061343

John T. Betts, Claire Digirolamo, Stephen L. Campbell

Publication date: 13 December 2021

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2020026

zbMATH Keywords

optimal controlwaveform relaxationcontrol parameterizationdirect transcriptionSOSdelayed dynamicsGPOPS-II

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Numerical methods based on nonlinear programming (49M37) Discrete approximations in optimal control (49M25)

Uses Software

• Matlab
• GPOPS

Cites Work

• Theory and applications of optimal control problems with multiple time-delays
• Adaptive pseudospectral methods for solving constrained linear and nonlinear time-delay optimal control problems
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• A Legendre-Gauss collocation method for nonlinear delay differential equations
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• On the convergence of waveform relaxation methods for differential-functional systems of equations
• Compensating for order variation in mesh refinement for direct transcription methods. II: Computational experience
• Bi-objective dynamic optimization of a nonlinear time-delay system in microbial batch process
• Optimal control of switched systems with multiple time-delays and a cost on changing control
• A new computational approach for optimal control problems with multiple time-delay
• Method of lines approximations of delay differential equations
• Compensating for order variation in mesh refinement for direct transcription methods
• An iterative symplectic pseudospectral method to solve nonlinear state-delayed optimal control problems
• Initial guess sensitivity in computational optimal control problems
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
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• Practical Methods for Optimal Control and Estimation Using Nonlinear Programming
• On Error Estimates for Waveform Relaxation Methods for Delay-Differential Equations
• Dynamic Optimization for Switched Time-Delay Systems with State-Dependent Switching Conditions
• An hp‐adaptive pseudospectral method for solving optimal control problems
• GPOPS-II
• Chapter 10: Optimal Control of a Delay PDE
• Solving DDEs in Matlab

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