Active disturbance rejection control for nonlinear fractional‐order systems

Z Gao - International Journal of Robust and Nonlinear Control, 2016 - Wiley Online Library
This paper investigates active disturbance rejection control involving the fractional‐order
tracking differentiator, the fractional‐order PID controller with compensation and the …

[HTML][HTML] A study of mixed Hadamard and Riemann–Liouville fractional integro-differential inclusions via endpoint theory

B Ahmad, SK Ntouyas, J Tariboon - Applied Mathematics Letters, 2016 - Elsevier
A study of mixed Hadamard and Riemann–Liouville fractional integro-differential inclusions via
endpoint theory - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

Fractional-order Boubaker functions and their applications in solving delay fractional optimal control problems

K Rabiei, Y Ordokhani… - Journal of Vibration and …, 2018 - journals.sagepub.com
In this paper, a new set of functions called fractional-order Boubaker functions is defined for
solving the delay fractional optimal control problems with a quadratic performance index. To …

Fractional-order generalized principle of self-support (FOGPSS) in control system design

H Chen, YQ Chen - IEEE/CAA journal of automatica sinica, 2016 - ieeexplore.ieee.org
This paper reviews research that studies the principle of self-support U+ 0028 PSS U+ 0029
in some control systems and proposes a fractional-order generalized PSS framework for the …

Fast tensor product solvers for optimization problems with fractional differential equations as constraints

S Dolgov, JW Pearson, DV Savostyanov… - Applied Mathematics and …, 2016 - Elsevier
Fractional differential equations have recently received much attention within computational
mathematics and applied science, and their numerical treatment is an important research …

Fractional optimal control of diffusive transport acting on a spherical region

D Avci, N Ozdemir, M Yavuz - Methods of mathematical modelling, 2019 - taylorfrancis.com
In this chapter, a spectral formulation is introducedfor a fractional optimal control problem
(FOCP) defined in spherical coordinates in the cases of half and complete axial symmetry …

Robust stabilization of interval fractional-order plants with one time-delay by fractional-order controllers

Z Gao - Journal of the Franklin Institute, 2017 - Elsevier
This study investigates the robust stabilization of interval fractional-order plants with one
time-delay using fractional-order controllers by the Minkowski sum of value sets. The …

Optimal solution of nonlinear 2D variable-order fractional optimal control problems using generalized Bessel polynomials

Z Avazzadeh, H Hassani… - Journal of Vibration …, 2024 - journals.sagepub.com
This study aims to propose a new optimization method based on the generalized Bessel
polynomials (GBPs) as a class of basis functions for a category of nonlinear two-dimensional …

A fast second-order parareal solver for fractional optimal control problems

SL Wu, TZ Huang - Journal of Vibration and Control, 2018 - journals.sagepub.com
The gradient projection technique has recently been used to solve the optimal control
problems governed by a fractional diffusion equation. It lies in repeatedly solving the state …

An efficient numerical method for the optimal control of fractional-order dynamic systems

E Mohammadzadeh, N Pariz… - Journal of Vibration …, 2018 - journals.sagepub.com
This paper aims to investigate an efficient numerical scheme for the optimal control of
fractional-order dynamic systems. By using the Grünwald–Letnikov approximation for the …