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Fractional‐order iterative learning control for fractional‐order linear systems

Asian Journal of Control, 2011
AbstractIn this paper, we discuss in time domain the convergence of the iterative process for fractional‐order systems. Fractional order iterative learning updating schemes are considered. For the linear time invariant (LTI) system case, the convergence conditions of the fractional‐order and integer‐order iterative learning schemes are proved to be ...
Li, Yan, Chen, YangQuan, Ahn, Hyo-Sung
openaire   +2 more sources

Fractional-order inverse filters revisited: Equivalence with fractional-order controllers

Microelectronics Journal, 2023
The equivalence of fractional-order inverse filters with fractional-order controllers is demonstrated in this work. This is achieved by appropriately rewriting the filters transfer functions in order to clarify the correspondence between the gain and time-constant of the filters and the scaling factor and differentiation/integration constant of the ...
Panagiotis Bertsias   +4 more
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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
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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
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Analogue Realizations of Fractional-Order Controllers

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