Cited by 59Metaheuristic Optimization Algorithms ResearchAdvanced Control Systems DesignArtificial Immune Systems Applications

Optimal Design and Simulation for PID Controller Using Fractional-Order Fish Migration Optimization Algorithm

Open access
Guo, Baoyong, Zhuang, Zhongjie, Pan, Jeng-Shyang, Chu, Shu-Chuan·2021·IEEE Access

Abstract

Proportional Integral Derivative (PID) controller is one of the most classical controllers, which has a good performance in industrial applications. The traditional PID parameter tuning relies on experience, however, the intelligent algorithm is used to optimize the controller, which makes it more convenient. Fish Migration Optimization (FMO) is an excellent algorithm that mimics the swim and migration behaviors of fish biology. Especially, the formulas for optimization were obtained from biologists. However, the optimization effect of FMO for PID control is not prominent, since it is easy to skip the optimal solution with integer-order velocity. In order to improve the optimization performance of FMO, Fractional-Order Fish Migration Optimization (FOFMO) is proposed based on fractional calculus (FC) theory. In FOFMO, the velocity and position are updated in fractional-order forms. In addition, the fishes should migration back to a position which is more conducive to survival. Therefore, a new strategy based on the global best solution to generate new positions of offsprings is proposed. The experiments are performed on benchmark functions and PID controller. The results show that FOFMO is superior to the original FMO, and the PID controller tuned by FOFMO is more robust and has better performance than other contrast algorithms.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1109/access.2021.3049421

Cites

65 of 65 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • Conventional controllers cannot deal with system uncertainties and do not give high performance due to their fixed parameters.

    “Conventional controllers cannot deal with the system uncertainties and do not give high performance due to their fixed parameters.”

    From Deep reinforcement learning-based adaptive fuzzy control for electro-hydraulic servo system (2025) · cites this paper as [2]

    The Introduction says traditional PID algorithms have low efficiency and no prominent effect, supporting the performance concern. It does not attribute that limitation to fixed parameters; it instead describes PID controllers as having good robustness. The Robustness Analysis compares tuning methods under an added time delay, but does not say conventional controllers cannot handle system uncertainties. Page numbers are unavailable in our copy. (LLM, conf=0.84)

    Experimental — accuracy not yet measured

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

Research works printed but not linked: 2

  1. X. Xue, J. Chen, and J.-S. Pan, Evolutionary Algorithm Based Ontology Matching Technique. Beijing, China: Science Press, 2018.
  2. J.-S. Pan, X. Wang, and S.-C. Chu, ''A multi-group grasshopper optimi- sation algorithm for application in capacitated vehicle routing problem,'' Data Sci. Pattern Recognit., vol. 4, no. 1, pp. 41-56, 2020.

Cited by

Sorted by citations

Authors
Guo, B., Zhuang, Z., Pan, J.-S., & Chu, S.-C.
Affiliations
  • Shandong University of Science and Technology (CN)
  • Flinders University (AU)
Venue
IEEE Access
Published
2021
Volume
9
Pages
8808-8819
ISSN
2169-3536 (ISSN-L)
OpenAlex
W3120024282
Cited by
59
References
65
Citations by year
2026: 5 · 2025: 8 · 2024: 14 · 2023: 14 · 2022: 15 · 2021: 3
FWCI
4.07
Type
journal article
Language
en
Open access
Locations
  • IEEE Access (publishedVersion, cc-by)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Metaheuristic Optimization Algorithms Research
  • Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
  • Physical Sciences › Engineering › Biomedical Engineering › Artificial Immune Systems Applications
Keywords
PID controller tuning, fractional calculus, metaheuristic optimization, benchmark function optimization, controller robustness

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review