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Fractal and Fractional, Volume 8, Issue 4

April 2024 - 67 articles

Cover Story: This study uses a hyper-heuristic approach to design heuristic-based tuners for fractional-order PID (FOPID) controllers within Automatic Voltage Regulator (AVR) systems. This approach allows for the automated generation of metaphor-less metaheuristics by combining population-based search operators, reducing human bias in the tuning process. The automatically tailored metaheuristic effectively fine-tunes FOPID controller parameters to enhance control performance, achieving faster response times and virtually eliminating overshoot. This research also explores the impact of fractional orders on conventional PID controllers. It assesses and highlights the tuned FOPID controller’s resilience against disturbances, providing substantial advancements in electrical engineering and control systems. View this paper
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Articles (67)

  • Article
  • Open Access
5 Citations
2,051 Views
23 Pages

Heterogeneity of Micro- and Nanopore Structure of Lacustrine Shales with Complex Lamina Structure

  • Shuning Liu,
  • Juncheng Qiao,
  • Jianhui Zeng,
  • Chuanming Li,
  • Yazhou Liu,
  • Zheng Kong and
  • Xinlong Liu

Thin sections, AIM-SEM, MICP, and nitrogen adsorption were performed on laminated and layered shales to characterize their complex pore and fracture structure. Combining the MICP model with the FHH model, this work proposes a new fractal method for l...

  • Article
  • Open Access
3 Citations
2,127 Views
17 Pages

Robust Fractional-Order PI/PD Controllers for a Cascade Control Structure of Servo Systems

  • Vo Lam Chuong,
  • Ngo Hong Nam,
  • Le Hieu Giang and
  • Truong Nguyen Luan Vu

In this paper, a cascade control structure is suggested to control servo systems that normally include a servo motor in coupling with two kinds of mechanism elements, a translational or rotational movement. These kinds of systems have high demands fo...

  • Article
  • Open Access
13 Citations
2,049 Views
15 Pages

The aim of this research is to introduce two new notions, Θ-(Ξ,h)-contraction and rational (α,η)-ψ-interpolative contraction, in the setting of F-metric space and to establish corresponding fixed point theorems. To reinforce un...

  • Article
  • Open Access
8 Citations
2,060 Views
18 Pages

This study investigated the influence of movable oil on the pore structure of various shale types, analyzing 19 shale samples from Well X in the Mahu Sag of the Junggar Basin. Initially, X-ray diffraction (XRD) analysis classified the shale samples....

  • Article
  • Open Access
8 Citations
2,056 Views
19 Pages

Unravelling the Fractal Complexity of Temperature Datasets across Indian Mainland

  • Adarsh Sankaran,
  • Thomas Plocoste,
  • Arathy Nair Geetha Raveendran Nair and
  • Meera Geetha Mohan

Studying atmospheric temperature characteristics is crucial under climate change, as it helps us to understand the changing patterns in temperature that have significant implications for the environment, ecosystems, and human well-being. This study p...

  • Article
  • Open Access
11 Citations
1,756 Views
18 Pages

Compressive Failure Characteristics of a Coal–Rock Combination at Different Angles: Experimental Study and Fractal Analysis

  • Long Tang,
  • Shihao Tu,
  • Hongsheng Tu,
  • Kaijun Miao,
  • Wenlong Li,
  • Hongbin Zhao,
  • Jieyang Ma and
  • Lei Zhang

In order to explore the influence of dip angles on the deformation and failure of a coal–rock combination, uniaxial compression experiments were carried out on a coal–rock combination with different dip angles, and the acoustic emissions...

  • Article
  • Open Access
3 Citations
1,799 Views
25 Pages

In this study, we investigate multiscale auto- and cross-correlation structural characteristics of sea surface temperature (SST) variability using our new methodology, called the multifractal asymmetric cross-correlation analysis (MF-ACCA), incorpora...

  • Article
  • Open Access
1 Citations
1,438 Views
21 Pages

Here, we investigate the spectral and oscillation theory for a class of fractional differential equations subject to specific boundary conditions. By transforming the problem into a modified version with a classical structure, we establish the orthog...

  • Article
  • Open Access
1 Citations
2,297 Views
17 Pages

COVID-19 is a lung disease caused by a coronavirus family virus. Due to its extraordinary prevalence and associated death rates, it has spread quickly to every country in the world. Thus, achieving peaks and outlines and curing different types of rel...

  • Article
  • Open Access
9 Citations
1,758 Views
29 Pages

Fractional calculus provides some fractional operators for us to model different real-world phenomena mathematically. One of these important study fields is the mathematical model of the elastic beam changes. More precisely, in this paper, based on t...

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Fractal Fract. - ISSN 2504-3110Creative Common CC BY license