<p>This research proposes the Oppositional Mayfly Algorithm (OMA) to design reliable, stable, and wideband Fractional-Order Digital Integrators and Differentiators (FODIs/FODDs). The need for supercomputing develops from the "many-design" problem: realizing a family of high-accuracy, various order FODI/FODD models for real-time signal processing applications involve a comprehensive search of a high-dimensional, non-linear solution space. OMA is uniquely suited for this HPC task, revealing superior efficiency and robustness by incorporating parallel fitness computation on distributed systems. This parallel scalability enables the rapid convergence to optimal designs that would be too resource-intensive for standard workstations. By realizing an outstanding convergence rate, frequency response, and solution precision, OMA empowers the accelerated optimization of complex filter designs on baseline machines or promotes the addressing of even high-dimensional challenges on established HPC frameworks, thereby expediting studies in computer-based physics and instantaneous control system mechanisms.</p>

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Optimal identification of IIR-type fractional-order digital integrator and differentiator using a meta-heuristic optimization algorithm

  • Souvik Dey,
  • Provas Kumar Roy,
  • Angsuman Sarkar

摘要

This research proposes the Oppositional Mayfly Algorithm (OMA) to design reliable, stable, and wideband Fractional-Order Digital Integrators and Differentiators (FODIs/FODDs). The need for supercomputing develops from the "many-design" problem: realizing a family of high-accuracy, various order FODI/FODD models for real-time signal processing applications involve a comprehensive search of a high-dimensional, non-linear solution space. OMA is uniquely suited for this HPC task, revealing superior efficiency and robustness by incorporating parallel fitness computation on distributed systems. This parallel scalability enables the rapid convergence to optimal designs that would be too resource-intensive for standard workstations. By realizing an outstanding convergence rate, frequency response, and solution precision, OMA empowers the accelerated optimization of complex filter designs on baseline machines or promotes the addressing of even high-dimensional challenges on established HPC frameworks, thereby expediting studies in computer-based physics and instantaneous control system mechanisms.