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    <subfield code="a">Nur Iffah Binti Mohamed Azmi,</subfield>
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    <subfield code="a">Novel particle swarm optimisation approach integrating l&#xE9;vy flight and doppler effect for pid parameter optimisation in dc motor systems /</subfield>
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    <subfield code="a">Optimisation plays a critical role in solving complex engineering problems, particularly within constrained optimisation and control system tuning domains. This research proposes an enhanced swarm intelligence algorithm (Particle Swarm Optimisation with L&#xE9;vy Flight and Doppler Effect (PSO-LFDE)) designed to address the limitations of classical PSO by improving convergence velocity, solution quality, and robustness in high-dimensional, multimodal search landscapes. The proposed algorithm incorporates L&#xE9;vy Flight (LF) to facilitate adaptive, long-distance position updates for superior global exploration, and integrates a Doppler Effect (DE)-inspired mechanism to dynamically modulate inertia weights, enhancing the balance between exploration and exploitation throughout the search process. The algorithm&#x2019;s efficacy is evaluated through a comprehensive set of six constrained optimisation benchmark functions and a mechanical design problem (the speed reducer design) widely used in engineering optimisation research. PSO-LFDE&#x2019;s performance is benchmarked against 13 state-of-the-art algorithms including &#x3B1;-Simplex, ASCHEA, CRGAL, CULDEV, DSS-MDEV2, DEVLC, HEA-ACT, ISR, MBA, PSO-DEV, SAPF, SMES, and SR. For the speed reducer optimisation, comparative analysis is performed against DSS-MDEV2, DEVLC, HEA-ACT, MBA, PSO-DEV, mbDEV, and the Society and Civilisation Algorithm (SC). Simulations are implemented in MATLAB R2017a, with real-time validation via Arduino-based PID-controlled DC motor hardware to assess practical feasibility. Results demonstrate that PSO-LFDE consistently achieves superior best and mean fitness values, significantly reducing standard deviation across all benchmark functions, indicating enhanced stability. In the speed reducer design task, PSO-LFDE yields the most optimal parameter configuration. Mean Absolute Error (MAE) analysis further validates the algorithm&#x2019;s accuracy, with PSO-LFDE ranking first among 14 algorithms on benchmark functions (MAE = -893.4400), and first among 8 on engineering design problems (MAE = -631.0300), surpassing algorithms such as DSS-MDEV2 and HEA-ACT. In control system tuning, PSO-LFDE enhances the dynamic performance of a DC motor, achieving up to 86.78% faster settling time, 70.60% reduction in peak time, and lower steady-state error compared to conventional PSO. Across multiple set-point inputs for both position (10, 30, 60 cm) and speed (5, 10, 15 rpm) control, PSO-LFDE demonstrates consistently improved rise time, settling time, and overshoot reduction. The combination of swarm intelligence and physics-inspired strategies in PSO-LFDE establishes a promising framework for high-performance optimisation in constrained environments, with significant implications for engineering design, intelligent control, and real-time embedded systems.</subfield>
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