{
  "abstract": "The primary objective of a parabolic distributed solar collector system (P-DSCS) is to regulate fluid heat generation so that it tracks a reference trajectory despite non-uniform solar irradiance. Fractional-order proportional-integral-derivative (FOPID) controllers offer superior dynamic flexibility to handle these complex thermal transients. However, existing tuning strategies for P-DSCS collapse frequency-domain requirements into an optimization problem solved by standard algorithms, masking critical trade-offs between competing performances and omitting closed-loop stability verification. To overcome these limitations, this paper presents an original multi-objective optimization framework for FOPID controlled P-DSCS. The tuning problem is formulated as a three-objective Optimization Problem that simultaneously minimizes phase-margin slope sensitivity for iso-damping robustness, peak sensitivity for low-frequency disturbance rejection, and complementary sensitivity for high-frequency noise attenuation. The Multi-Objective Imperialist Competitive Algorithm (MOICA) extracts a three-dimensional Pareto front, offering optimal control trade-offs. Comparative simulations against PID and literature algorithms (Multi-objective Particle Swarm Optimization (MOPSO) and Non-dominated Sorting Genetic Algorithm II (NSGA-II)) validate the superior performance of the MOICA-FOPID framework. MOICA consistently outperforms all algorithms across all metrics, improving iso-damping robustness by 38.99%. It also reduces high-frequency noise by 25.66%, while enhancing low-frequency disturbance rejection by 10.87%. Moreover, the optimal MOICA-FOPID controller maintained superior robustness despite P-DSCS gain and time-constant fluctuations.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mechanical Engineering, College of Engineering, Qassim University, Buraydah 51452, Saudi Arabia"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Abdullah Alghafis",
      "orcid": "0000-0002-7336-429X"
    },
    {
      "affs": [
        0
      ],
      "name": "Mohamed Nejlaoui",
      "orcid": "0000-0002-9078-0148"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/agyxep6075bvw.bib",
  "cited_by": 0,
  "doi": "10.3390/fractalfract10100707",
  "fulltext_url": null,
  "id": "agyxep6075bvw",
  "issns": [
    "2504-3110"
  ],
  "landing_url": "https://www.mdpi.com/2504-3110/10/10/707",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2207|Advanced Control Systems Design"
    ]
  ],
  "openalex": "W7221094740",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/agyxep6075bvw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:32Z",
      "native_id": "10.3390/fractalfract10100707",
      "source": "crossref",
      "url": "https://www.mdpi.com/2504-3110/10/10/707"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "issn:2504-3110",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Multi-Objective Fractional-Order Control Design for Solar Collector Systems Under Parameter Perturbations and Stability Constraints",
  "title_text": "Multi-Objective Fractional-Order Control Design for Solar Collector Systems Under Parameter Perturbations and Stability Constraints",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:32Z",
  "url": "https://research.draconitic.com/paper/agyxep6075bvw",
  "venue": "Fractal and Fractional",
  "versions": []
}