[HTML][HTML] Müntz–Legendre spectral collocation method for solving delay fractional optimal control problems

S Hosseinpour, A Nazemi, E Tohidi - Journal of Computational and Applied …, 2019 - Elsevier
In this paper, a numerical method is applied for solving delay fractional optimal control
problems (DFOCPs). The fractional derivative is described in the Caputo sense. Since the …

Fractional power series neural network for solving delay fractional optimal control problems

F Kheyrinataj, A Nazemi - Connection Science, 2020 - Taylor & Francis
In this paper, we develop a numerical method for solving the delay optimal control problems
of fractional-order. The fractional derivatives are considered in the Caputo sense. The …

A collocation method via block-pulse functions for solving delay fractional optimal control problems

S Hosseinpour, A Nazemi - IMA Journal of Mathematical Control …, 2017 - academic.oup.com
A collocation scheme is applied to give an approximate solution of the fractional optimal
control problems with delays in state and control. The operational matrix of fractional …

Optimal control of time delay systems via hybrid of block-pulse functions and orthonormal Taylor series

M Dadkhah, MH Farahi - International Journal of Applied and …, 2016 - Springer
A new method to find the optimal control of time delay systems with quadratic performance
index is discussed. The method is based on hybrid functions. The properties of the hybrid …

An Expanded hp‐Method for Solving Nonsmooth Time Delay Optimal Control Problems

M Hedayati, H Ahsani Tehrani… - Journal of …, 2024 - Wiley Online Library
In this research, we present an expanded hp‐method for solving time delay optimal control
(TDOC) problems, applicable to issues with both smooth and nonsmooth solutions. The …

[图书][B] Continuous time dynamical systems: state estimation and optimal control with orthogonal functions

BM Mohan, SK Kar - 2018 - taylorfrancis.com
Optimal control deals with the problem of finding a control law for a given system such that a
certain optimality criterion is achieved. An optimal control is a set of differential equations …

Numerical solution of time delay optimal control problems by hybrid of block-pulse functions and Bernstein polynomials

M Dadkhah, MH Farahi, A Heydari - IMA Journal of Mathematical …, 2018 - academic.oup.com
Optimal control problems for a class of time delay systems with quadratic performance index
are studied. By approximating various time functions in the systems as their truncated hybrid …

Linear optimal control of time delay systems via hermite wavelet

A Kheirabadi, AM Vaziri, S Effati - Numerical Algebra, Control and …, 2020 - aimsciences.org
To solve the time delay optimal control problem with quadratic performance index, a direct
numerical method based on Hermite wavelet has been proposed in the present study. The …

Solving time delay fractional optimal control problems via a Gudermannian neural network and convergence results

F Kheyrinataj, A Nazemi… - Network: Computation in …, 2023 - Taylor & Francis
In this paper, we propose a Gudermannian neural network scheme to solve optimal control
problems of fractional-order system with delays in state and control. The fractional derivative …

Optimal control of multi-delay systems via shifted Legendre polynomials

BM Mohan, SK Kar - 2011 International Conference on Energy …, 2011 - ieeexplore.ieee.org
Based on using shifted Legendre polynomials (SLPs) a new approach for computing optimal
control law of linear time-invariant/time-varying, time-delay free/time-delay dynamic systems …