Advances in Fractional Order Control and Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Dynamical Systems".

Deadline for manuscript submissions: closed (31 March 2021) | Viewed by 2531

Special Issue Editor


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Guest Editor
Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland
Interests: discrete fractional calculus; variable-; fractional order Grünwald – Letnikov and Caputo difference; linear systems; PID fractional control; fractional robust systems; CRONE control

Special Issue Information

Dear Colleagues,

The main goal of the Special Issue is to collect and present the latest scientific results related to broadly understood linear and nonlinear fractional system control. The topics concern the classic approach: identification, analysis and synthesis of fractional dynamical systems. Works related to the so-called robust, sliding-mode, iterative learning control are particularly invited. Papers in the field of so-called Applied Mathematics related to the study of fractional derivatives and differences in the context of the stability are also warmly invited.

Prof. Dr. Piotr Ostalczyk
Guest Editor

Manuscript Submission Information

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Keywords

  • Robust fractional systems
  • Fractional PID systems
  • MIMO fractional systems
  • Stability of fractional closed-loop control systems
  • Fractional identification of dynamical systems
  • Physical phenomena with “memory”

Published Papers (1 paper)

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Research

13 pages, 945 KiB  
Article
Improved Decentralized Fractional PD Control of Structure Vibrations
by Kang Xu, Liping Chen, Minwu Wang, António M. Lopes, J. A. Tenreiro Machado and Houzhen Zhai
Mathematics 2020, 8(3), 326; https://0-doi-org.brum.beds.ac.uk/10.3390/math8030326 - 02 Mar 2020
Cited by 24 | Viewed by 2142
Abstract
This paper presents a new strategy for the control of large displacements in structures under earthquake excitation. Firstly, an improved fractional order proportional-derivative (FOPD) controller is proposed. Secondly, a decentralized strategy is designed by adding a regulator and fault self-regulation to a standard [...] Read more.
This paper presents a new strategy for the control of large displacements in structures under earthquake excitation. Firstly, an improved fractional order proportional-derivative (FOPD) controller is proposed. Secondly, a decentralized strategy is designed by adding a regulator and fault self-regulation to a standard decentralized controller. A new control architecture is obtained by combining the improved FOPD and the decentralized strategy. The parameters of the control system are tuned using an intelligent optimization algorithm. Simulation results demonstrate the performance and reliability of the proposed method. Full article
(This article belongs to the Special Issue Advances in Fractional Order Control and Applications)
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