Novel closed-loop controllers for fractional linear quadratic time-varying systems

I Malmir - Numerical Algebra, Control and Optimization, 2024 - aimsciences.org
A novel method for finding the closed-loop optimal controllers of the finite-time fractional
linear quadratic regulator systems is introduced. The necessary optimality conditions for the …

Optimal vaccination and treatment policies for regional approximate controllability of the time-fractional reaction–diffusion SIR epidemic systems

F Ge, YQ Chen - ISA transactions, 2021 - Elsevier
This paper addresses the optimal vaccination and treatment control problems for regional
approximate controllability of a new spatiotemporal epidemic model that is developed by …

[PDF][PDF] MRAC adaptive control design for an F15 aircraft pitch angular motion using Dynamics Inversion and fractional-order filtering

AR Ynineb, S Ladaci - … Journal of Robotics and Control Systems, 2022 - researchgate.net
Controlling a military aircraft is a very challenging task for automation engineers because of
the complexity of the plant model: huge nonlinearities, multiple coupled outputs, very …

Optimal fractional order control for nonlinear systems represented by the Euler-Lagrange formulation

AT Azar, FE Serrano, NA Kamal - International Journal of …, 2021 - inderscienceonline.com
In this paper a novel control strategy is shown for the control of fractional order systems
established in the Euler-Lagrange formulation. The objective is to find an optimal fractional …

Stability analysis and optimal control of a fractional order synthetic drugs transmission model

M Das, G Samanta, M De la Sen - Mathematics, 2021 - mdpi.com
In this work, a fractional-order synthetic drugs transmission model with psychological addicts
has been proposed along with psychological treatment. The effects of synthetic drugs are …

A finite-time adaptive order estimation approach for non-integer order nonlinear systems

SS Tabatabaei, M Tavakoli, HA Talebi - ISA transactions, 2022 - Elsevier
This paper proposes some methods for estimating the order of nonlinear systems having
non-integer order. First, the stability of time-varying order systems is studied. Afterward, the …

Generalized Lyapunov stability and designing pseudo-state/order estimator for incommensurate variable order systems

SS Tabatabaei - Communications in Nonlinear Science and Numerical …, 2022 - Elsevier
This paper aims to develop a framework for estimating the order and pseudo-state of
incommensurate variable order systems, simultaneously. First, some lemmas and theorems …

Real-time prediction of soft tissue deformation; a non-integer order modeling scheme and a practical verification for the theoretical concept

SS Tabatabaei, MR Dehghan, HA Talebi - Chaos, Solitons & Fractals, 2022 - Elsevier
This paper presents a practical study to verify the concept of non-integer order dynamic
behavior of multi-dimensional soft tissue deformation. The stress-strain relationship of soft …

A numerical method for solving fractional optimal control problems using the operational matrix of Mott polynomials

SA Alavi, A Haghighi, A Yari… - … Methods for Differential …, 2022 - cmde.tabrizu.ac.ir
This paper presents a numerical method for solving a class of fractional optimal control
problems (FOCPs) based on numerical polynomial approximation. The fractional derivative …

Design control of surface marine vehicle using disturbance compensating model predictive control (DC-MPC)

S Cahyaningtias, T Asfihani… - BAREKENG: Jurnal Ilmu …, 2021 - ojs3.unpatti.ac.id
This research studied ship motion control by considering four degrees of freedom (DoF):
yaw, roll, sway, and surge in which comprehensive mathematical modeling forming a …