Authors :
Sarjen Murmu; Saraswati Kalundia; Munimai Lugun; Bhima Soren
Volume/Issue :
Volume 11 - 2026, Issue 4 - April
Google Scholar :
https://tinyurl.com/3565rz5w
Scribd :
https://tinyurl.com/f9yudupz
DOI :
https://doi.org/10.38124/ijisrt/26apr1708
Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.
Abstract :
The proportional–integral–derivative (PID) controller remains dominant in DC motor drive applications due to
its structural simplicity and ease of implementation. However, fixed-gain PID tuning methods degrade significantly under
parametric uncertainty and nonlinear operating conditions. This work presents a robust particle swarm optimization
(PSO)–based PID tuning framework incorporating Monte Carlo–driven uncertainty modeling and adaptive swarm
dynamics. The DC motor parameters are subjected to independent ±30% variation to emulate realistic disturbances
arising from thermal effects, load fluctuation, and frictional nonlinearity. The controller gains are optimized using a multiobjective cost function integrating time-weighted absolute error (ITAE), control effort, and overshoot penalty. A Monte
Carlo evaluation loop is embedded within the PSO fitness computation, ensuring statistical robustness rather than
nominal performance optimization. An adaptive inertia weight strategy is implemented to improve convergence
characteristics and avoid premature stagnation. The proposed method is evaluated over 100 randomized parameter
realizations, and performance is quantified using mean, standard deviation, and worst-case indices. Results indicate that
conventional PSO-tuned PID controllers exhibit significant performance dispersion under uncertainty, whereas the
proposed approach maintains consistent transient response and bounded control effort. The variance in performance
metrics is reduced substantially, indicating improved robustness. The framework provides a scalable approach for
uncertainty-aware controller design and is suitable for real-time extensions in intelligent drive systems.
Keywords :
PID Controller; Particle Swarm Optimization; DC Motor; Monte Carlo Simulation; Parametric Uncertainty; Robust Control; Adaptive PSO.
References :
- Clerc, M., and James Kennedy,“The particle swarm—Explosion, stability, and convergence in a multidimensional complex space,” IEEE Transactions on Evolutionary Computation, vol. 6, no. 1, pp. 58–73, Feb. 2002.doi: 10.1109/4235.985692
- J. Kennedy and R. Eberhart, “Particle swarm optimization,” in Proceedings of the IEEE International Conference on Neural Networks (ICNN’95), vol. 4, Perth, Australia, 1995, pp. 1942–1948, doi: 10.1109/ICNN.1995.488968.
- J. Kennedy and R. C. Eberhart, “Swarm intelligence,” Morgan Kaufmann Publishers, San Francisco, CA, USA, 2001, doi: 10.1109/4235.985692.
The proportional–integral–derivative (PID) controller remains dominant in DC motor drive applications due to
its structural simplicity and ease of implementation. However, fixed-gain PID tuning methods degrade significantly under
parametric uncertainty and nonlinear operating conditions. This work presents a robust particle swarm optimization
(PSO)–based PID tuning framework incorporating Monte Carlo–driven uncertainty modeling and adaptive swarm
dynamics. The DC motor parameters are subjected to independent ±30% variation to emulate realistic disturbances
arising from thermal effects, load fluctuation, and frictional nonlinearity. The controller gains are optimized using a multiobjective cost function integrating time-weighted absolute error (ITAE), control effort, and overshoot penalty. A Monte
Carlo evaluation loop is embedded within the PSO fitness computation, ensuring statistical robustness rather than
nominal performance optimization. An adaptive inertia weight strategy is implemented to improve convergence
characteristics and avoid premature stagnation. The proposed method is evaluated over 100 randomized parameter
realizations, and performance is quantified using mean, standard deviation, and worst-case indices. Results indicate that
conventional PSO-tuned PID controllers exhibit significant performance dispersion under uncertainty, whereas the
proposed approach maintains consistent transient response and bounded control effort. The variance in performance
metrics is reduced substantially, indicating improved robustness. The framework provides a scalable approach for
uncertainty-aware controller design and is suitable for real-time extensions in intelligent drive systems.
Keywords :
PID Controller; Particle Swarm Optimization; DC Motor; Monte Carlo Simulation; Parametric Uncertainty; Robust Control; Adaptive PSO.