Wavelet collocation method for optimal control problems

DOI10.1007/S10957-009-9565-9zbMath1176.49035OpenAlexW2076613817MaRDI QIDQ1039375

J. Blot

Publication date: 27 November 2009

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

Full work available at URL: https://doi.org/10.1007/s10957-009-9565-9

zbMATH Keywords

nonlinear programmingcollocationHaar waveletdiscrete optimal control

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37) Discrete approximations in optimal control (49M25)

Related Items (12)

Green-Haar wavelets method for generalized fractional differential equations ⋮ Solving infinite-horizon optimal control problems of the time-delayed systems by Haar wavelet collocation method ⋮ A wavelet based rationalized approach for the numerical solution of differential and integral equations ⋮ A new direct method for solving optimal control problem of nonlinear Volterra-Fredholm integral equation via the Müntz-Legendre polynomials ⋮ Local optimization of dynamic programs with guaranteed satisfaction of path constraints ⋮ Sparse representation of system of Fredholm integro-differential equations by using alpert multiwavelets ⋮ A WAVELET COLLOCATION SCHEME FOR SOLVING SOME OPTIMAL PATH PLANNING PROBLEMS ⋮ Application of fixed point-collocation method for solving an optimal control problem of a parabolic-hyperbolic free boundary problem modeling the growth of tumor with drug application ⋮ Orthonormal Bernoulli wavelets neural network method and its application in astrophysics ⋮ SOLVING INFINITE-HORIZON OPTIMAL CONTROL PROBLEMS USING THE HAAR WAVELET COLLOCATION METHOD ⋮ Feedback control method using Haar wavelet operational matrices for solving optimal control problems ⋮ Solving optimal control problems of the time-delayed systems by Haar wavelet

Uses Software

• TOMLAB
• OTIS

Cites Work

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• Galerkin-wavelet methods for two-point boundary value problems
• Numerical solution of differential equations using Haar wavelets
• A wavelet collocation method for the numerical solution of partial differential equations
• Optimal control of linear time-varying systems via Haar wavelets
• Direct trajectory optimization using nonlinear programming and collocation
• Legendre wavelets method for constrained optimal control problems
• Path-constrained trajectory optimization using sparse sequential quadratic programming
• The Haar wavelets operational matrix of integration
• A computational method for optimal control problem of time-varying state-delayed systems by Haar wavelets

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