An \(hp\) symplectic pseudospectral method for nonlinear optimal control

DOI10.1016/j.cnsns.2016.06.023zbMath1473.49036OpenAlexW2441384902MaRDI QIDQ2004842

Mingwu Li, Biao-Song Chen, Xin-Wei Wang, Hai-Jun Peng

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.06.023

zbMATH Keywords

variational principlespseudospectral methodnonlinear optimal controlHamiltonian systemsymplectichp-method

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discrete approximations in optimal control (49M25)

Related Items (13)

A robust pseudospectral method for numerical solution of nonlinear optimal control problems ⋮ An iterative framework to solve nonlinear optimal control with proportional delay using successive convexification and symplectic multi-interval pseudospectral scheme ⋮ A symplectic indirect approach for a class of nonlinear optimal control problems of differential‐algebraic systems ⋮ Numerical solution of some initial optimal control problems using the reproducing kernel Hilbert space technique ⋮ Simulation and trajectory optimization of articulated robots via spectral variational integrators ⋮ Stabilizing constrained chaotic system using a symplectic psuedospectral method ⋮ Optimal vaccination strategy of a constrained time-varying SEIR epidemic model ⋮ An iterative symplectic pseudospectral method to solve nonlinear state-delayed optimal control problems ⋮ Transformed orthogonal functions for solving infinite horizon fractional optimal control problems ⋮ Mathematical analysis of a human papillomavirus transmission model with vaccination and screening ⋮ A nonsmooth contact dynamic algorithm based on the symplectic method for multibody system analysis with unilateral constraints ⋮ A symplectic pseudospectral method for constrained time-delayed optimal control problems and its application to biological control problems ⋮ Observer-based backstepping control for nonlinear cyber-physical systems with incomplete measurements

Uses Software

• Matlab
• GPOPS
• FEAPpv

Cites Work

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