[HTML][HTML] A survey of fractional order calculus applications of multiple-input, multiple-output (MIMO) process control

AM Almeida, MK Lenzi, EK Lenzi - Fractal and Fractional, 2020 - mdpi.com
Multiple-input multiple-output (MIMO) systems are usually present in process systems
engineering. Due to the interaction among the variables and loops in the MIMO system …

Design of adaptive backstep** dynamic surface control method with RBF neural network for uncertain nonlinear system

X Shi, Y Cheng, C Yin, X Huang, S Zhong - Neurocomputing, 2019 - Elsevier
This paper develops an adaptive backstep** dynamic surface control method with RBF
Neural Network for a class of nonlinear system under extra disturbances. The considered …

Applications of fractional gradient descent method with adaptive momentum in BP neural networks

X Han, J Dong - Applied Mathematics and Computation, 2023 - Elsevier
A novel fractional gradient descent method with adaptive momentum is presented in this
paper to improve the convergence speed and stability for BP neural network training. The …

Research on novel bearing fault diagnosis method based on improved krill herd algorithm and kernel extreme learning machine

Z Wang, L Zheng, J Wang, W Du - Complexity, 2019 - Wiley Online Library
In this paper, a novel bearing intelligent fault diagnosis method based on a novel krill herd
algorithm (NKH) and kernel extreme learning machine (KELM) is proposed. Firstly …

A quasi fractional order gradient descent method with adaptive stepsize and its application in system identification

J Liu, R Zhai, Y Liu, W Li, B Wang, L Huang - Applied Mathematics and …, 2021 - Elsevier
In this paper, the fractional order gradient method (FOGM) is extended to the solution of high-
dimensional function optimization problems. A quasi fractional order gradient descent …

Enhanced decentralised fractional-order control using tree seed optimisation and singular value analysis

KR Achu Govind, S Mahapatra… - International Journal of …, 2024 - Taylor & Francis
Higher-order multi-input multi-output systems pose challenges in terms of stability and
control performance due to increased complexity and interactions between multiple …

Description and analysis of the time–domain response of nabla discrete fractional order systems

Y Wei, Q Gao, S Cheng, Y Wang - Asian Journal of Control, 2021 - Wiley Online Library
This paper investigates the time–domain response of nabla discrete fractional order systems
by exploring several useful properties of the nabla discrete Laplace transform and the …

Modelling and simulation of nabla fractional dynamic systems with nonzero initial conditions

Y Wei, J Wang, PW Tse, Y Wang - Asian Journal of Control, 2021 - Wiley Online Library
The paper focuses on the numerical approximation of discrete fractional order systems with
the conditions of nonzero initial instant and nonzero initial state. First, the inverse nabla …

Asymptotic stability analysis and stabilization control of fractional-order vehicle suspension system with time delay

Z Zhang, X Li, Y Wang, M Liu, X Zhang, J Zhang - Fractals, 2023 - World Scientific
Our study focuses on the analysis of asymptotic stability and the development of asymptotic
stabilization control methods for fractional vehicle suspension systems (FVSS). We begin by …

A real-time cost optimization of two-section oven system with discrete gradient extremum seeking control: An experimental study in iron and steel industry

S Yilmaz, M Furat - Journal of Process Control, 2023 - Elsevier
The heavy industry plants are focused on finding ways to minimize energy costs, which is
one of the most significant costs of production. In this paper, a case study on a real oven …