Optimal control of linear time‐delay systems by a hybrid of block‐pulse functions and biorthogonal cubic Hermite spline multiwavelets

DOI10.1002/oca.2351zbMath1390.49037OpenAlexW2742379019MaRDI QIDQ4563367

Robabeh Mohammadzadeh, Mehrdad Lakestani

Publication date: 31 May 2018

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.2351

zbMATH Keywords

biorthogonal multiwaveletstime-delay systemsoptimal control problemcubic Hermite splinesblock-pulse functionshybrid functions

Mathematics Subject Classification ID

Related Items (6)

Extended Chebyshev cardinal wavelets for nonlinear fractional delay optimal control problems ⋮ Optimal control computation for nonlinear fractional time-delay systems with state inequality constraints ⋮ Control of time-varying systems based on forward Riccati formulation in hybrid functions domain ⋮ Hybrid functions direct approach and state feedback optimal solutions for a class of nonlinear polynomial time delay systems ⋮ Solution of delay fractional optimal control problems using a hybrid of block-pulse functions and orthonormal Taylor polynomials ⋮ Derivative-orthogonal wavelets for discretizing constrained optimal control problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal control of delay systems by using a hybrid functions approximation
• A stable algorithm for Hankel transforms using hybrid of Block-pulse and Legendre polynomials
• Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials
• Optimal control computation for linear time-lag systems with linear terminal constraints
• Optimal control of delay systems via block pulse functions
• Optimal control of linear time-delayed systems by linear Legendre multiwavelets
• Hybrid functions approach for linearly constrained quadratic optimal control problems
• Biorthogonal multiwavelets on the interval: Cubic Hermite splines
• Local decomposition of refinable spaces and wavelets
• An efficient recursive shooting method for the optimal control of time-varying systems with state time-delay
• Numerical solutions of optimal control for linear time-varying systems with delays via hybrid functions
• An efficient approximate method for solving delay fractional optimal control problems
• Optimal control of time-varying linear delay systems based on the Bézier curves
• Analysis of time-varying delay systems by hybrid of block-pulse functions and biorthogonal multiscaling functions
• Optimal control of a beam with Kelvin–Voigt damping subject to forced vibrations using a piezoelectric patch actuator
• Suboptimal control of linear systems with delays in state and input by orthonormal basis
• Optimal control of linear systems with delays in state and control via Walsh functions
• Numerical solution of time-delayed optimal control problems with terminal inequality constraints
• A computational algorithm for large-scale nonlinear time-delay systems
• Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series
• Optimal control of linear time-varying delay systems via single-term walsh series
• Hereditary Control Problems: Numerical Methods Based on Averaging Approximations
• Linear quadratic optimal control problems via shifted Legendre state parametrization
• On solving first-kind integral equations using wavelets on a bounded interval
• A numerical solution for fractional optimal control problems via Bernoulli polynomials
• Solving optimal control problems of the time-delayed systems by Haar wavelet
• On comparison between iterative methods for solving nonlinear optimal control problems
• Collocation method for the numerical solutions of Lane–Emden type equations using cubic Hermite spline functions
• Numerical solution of the controlled Duffing oscillator by semi-orthogonal spline wavelets
• Optimal feedback control for linear-quadratic systems having time delays†
• An almost optimal control design method for nonlinear time-delay systems
• Direct method for variational problems via hybrid of block-pulse and Chebyshev functions

This page was built for publication: Optimal control of linear time‐delay systems by a hybrid of block‐pulse functions and biorthogonal cubic Hermite spline multiwavelets