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Fractional‐order Chebyshev wavelet method for variable‐order fractional optimal control problems

Mathematical Methods in the Applied Sciences, 2021
A new alternative numerical method for solving variable‐order fractional optimal control problems (VO‐FOCPs) is introduced. We use fractional‐order Chebyshev wavelets for solving these VO‐FOCPs. By applying the regularized beta functions, an exact value for the fractional integration of the given wavelets is provided.
Ghodsieh Ghanbari, Mohsen Razzaghi
openaire   +2 more sources

Adaptive fractional-order sliding-mode disturbance observer-based robust theoretical frequency controller applied to hybrid wind-diesel power system.

ISA transactions, 2022
This work presents design and theoretical analysis of an adaptive fractional-order sliding-mode disturbance observer (FO-SM-DOB)-aided fractional-order robust controller for frequency regulation of a hybrid wind-diesel based power system, considering ...
Dipayan Guha, P. Roy, Subrata Banerjee
semanticscholar   +1 more source

Designing of Fractional Order PID Controller for Unstable Fractional Order System

2019 Joint International Conference on Digital Arts, Media and Technology with ECTI Northern Section Conference on Electrical, Electronics, Computer and Telecommunications Engineering (ECTI DAMT-NCON), 2019
This paper proposes the fractional-order proportional-integral-derivative (FOPID or $\mathbf { P } \mathbf { I } ^ { \lambda } \mathbf { D } ^ { \mu }$) controller design optimization for a stable fractional order (FO) system by using the flower pollination algorithm (FPA), one of the most efficient metaheuristic optimization search techniques.
Boonruk Chipipop, Deacha Puangdownreong
openaire   +1 more source

Event-Triggered Fractional-Order PID Control of Fractional-Order Networked Control System

2021
This work focuses on the design of a fractional-order PID (FOPID) controller for output stabilization of a fractional-order networked control system (FONCS). It is widely discussed that the real systems are fractional in nature and can be better modelled in terms of fractional order.
Sunil Kumar Mishra   +6 more
openaire   +1 more source

Analogue Realizations of Fractional-Order Controllers

Nonlinear Dynamics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Podlubny, I.   +4 more
openaire   +2 more sources

Fuzzy Approximation-Based Fractional-Order Nonsingular Terminal Sliding Mode Controller for DC–DC Buck Converters

IEEE transactions on power electronics, 2021
This article presents a simple and systematic approach to synthesize a robust adaptive fuzzy fractional-order nonsingular terminal sliding mode controller (AFFO-NTSMC) to improve the output voltage tracking control performance of the dc–dc buck ...
B. Babes   +3 more
semanticscholar   +1 more source

Control Fractional-Order Continuous Chaotic System via a Simple Fractional-Order Controller

Applied Mechanics and Materials, 2013
A universal fractional-order controller is proposed to asymptotically stable the unstable equilibrium points and the nonequilibrium points of continuous fractional-order chaos systems. The simple fractional-order controller is obtained based on the stability theorem of nonlinear fractional-order systems.
Dong Zhang, Shou Liang Yang
openaire   +1 more source

Design of fractional order PID controller for load frequency control system with communication delay.

ISA transactions, 2021
This work explores a frequency-domain approach to design a fractional order proportional-integral-derivative (FO-PID) controller cascaded with a first-order filter for the load frequency control (LFC) system with communication delay.
Anand Kumar, S. Pan
semanticscholar   +1 more source

Designing a Cascade-Control Structure Using Fractional-Order Controllers: Time-Delay Fractional-Order Proportional-Derivative Controller and Fractional-Order Sliding-Mode Controller

Journal of Engineering Mechanics, 2017
AbstractThis paper considers a new cascade-control structure, which has an important difference from the other implemented cascade-control systems.
T. Binazadeh, M. Yousefi
openaire   +1 more source

UBIQUITOUS FRACTIONAL ORDER CONTROLS?

IFAC Proceedings Volumes, 2006
Abstract There is an increasing interest in dynamic systems and controls of noninteger orders or fractional orders. Clearly, for closed-loop control systems, there are four situations. They are 1) IO (integer order) plant with IO controller; 2) IO plant with FO (fractional order) controller; 3) FO plant with IO controller and 4) FO plant with FO ...
openaire   +1 more source

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