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Dynamic Performance Enhancement of a High‐Agility Hypersonic Mechanical System via a Learning‐Augmented Robust Control Architecture

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori, Seyed Hossein Sadati   +1 more
wiley   +1 more source

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Fractional‐order orthogonal Bernstein polynomials for numerical solution of nonlinear fractional partial Volterra integro‐differential equations

Mathematical Methods in the Applied Sciences, 2019
In this paper, a new two‐dimensional fractional polynomials based on the orthonormal Bernstein polynomials has been introduced to provide an approximate solution of nonlinear fractional partial Volterra integro‐differential equations.
Farshid Mirzaee
exaly   +2 more sources

Fractional-order Lagrange polynomials: An application for solving delay fractional optimal control problems

Transactions of the Institute of Measurement and Control, 2019
The main purpose of this work is to provide an efficient method for solving delay fractional optimal control problems (DFOCPs). Our method is based on fractional-order Lagrange polynomials (FLPs) and the collocation method. The FLPs are used to achieve a
Yadollah Ordokhani, Sedigheh Sabermahani   +1 more
exaly   +2 more sources

Vieta-Lucas polynomials for the coupled nonlinear variable-order fractional Ginzburg-Landau equations

Applied Numerical Mathematics, 2021
In this article, the non-singular variable-order fractional derivative in the Heydari-Hosseininia concept is used to formulate the variable-order fractional form of the coupled nonlinear Ginzburg-Landau equations. To solve this system, a numerical scheme
Mohsen Razzaghi, Z Avazzadeh Zakieh Avazzadeh, M H Heydari   +2 more
exaly   +2 more sources

An approach based on fractional-order Lagrange polynomials for the numerical approximation of fractional order non-linear Volterra-Fredholm integro-differential equations

Journal of Applied Mathematics and Computing, 2022
Vikas Gupta
exaly   +2 more sources

Solving fractional-order delay integro-differential equations using operational matrix based on fractional-order Euler polynomials

Mathematical Sciences, 2020
Saeid Abbasbandy
exaly   +3 more sources

Fractional-Order Interval Polynomials, Stability and Robust stability Analysis and FOMCON Implementation

2023 International Conference on Fractional Differentiation and Its Applications (ICFDA), 2023
In this paper, a newly developed module for FOM-CON toolbox for MATLAB that brings initial support for studying systems with interval uncertainties is introduced for the first time.
Majid Ghorbani, A. Tepljakov, E. Petlenkov   +2 more
semanticscholar   +1 more source

Stability Testing Set for a Diamond-Type Family of Commensurate Fractional Order Polynomials

2009 Second International Conference on Intelligent Computation Technology and Automation, 2009
Hwan Il Kang
exaly   +2 more sources

Numerical solution of the fractional‐order logistic equation via the first‐kind Dickson polynomials and spectral tau method

Mathematical methods in the applied sciences, 2021
In this article, a numerical technique for solving numerically the fractional‐order logistic equation (FLE) is presented. The fractional‐order derivative of the studied problem is given through the Caputo operator of fractional derivatives.
Adel Abd Elaziz El-Sayed, S. Boulaaras, N. Sweilam   +2 more
semanticscholar   +1 more source

Solving fractional pantograph delay differential equations via fractional-order Boubaker polynomials

Engineering With Computers, 2018
Yadollah Ordokhani, Kobra Rabiei
exaly   +2 more sources