E-ISSN 3026-930X
 

Original Research 


Tuning PID Controller for Inverted Pendulum Using Whale Optimization Algorithm

Abubakar Hassan, Emmanuel Gbenga Dada.


Abstract
Manual tuning of Proportional-Integral-Derivative (PID) controller is time consuming, tedious and generally lead to poor performance. PID controller is a simple and intuitive feedback-based control mechanism being useful to track set points and to reject disturbances. This paper presents a computational Intelligence (CI) technique of Whale Optimization Algorithm (WOA) for tuning the PID controller parameters for inverted pendulum. The inverted pendulum is a benchmark problem in control system design because of its high level of instability and non-linearity. It can mimic the behaviour of open-loop unstable systems such as robot manipulator and missile launcher. The metaheuristic algorithm achieved rise time (0.0913), settling time (1.57), maximum overshot (7.9%) and steady-state error (0.0294). Simulation results demonstrated that the WOA-optimized PID controller can provide an improved closed-loop performance over the Ziegler- Nichols tuned PID controller Parameters. The computational intelligence approach also has superior features, such as easy implementation, stable convergence characteristic and good computational efficiency over the conventional methods of Ziegler- Nichols.

Key words: PID Controller, Tuning, Whale Optimization Algorithm, Metaheuristic Algorithm, Zeigler-Nichols


 
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How to Cite this Article
Pubmed Style

Hassan A, Dada EG. Tuning PID Controller for Inverted Pendulum Using Whale Optimization Algorithm. NJEAS. 2025; 2(2): -. doi:10.5455/NJEAS.227713


Web Style

Hassan A, Dada EG. Tuning PID Controller for Inverted Pendulum Using Whale Optimization Algorithm. https://www.nilejeas.com/?mno=227713 [Access: March 05, 2025]. doi:10.5455/NJEAS.227713


AMA (American Medical Association) Style

Hassan A, Dada EG. Tuning PID Controller for Inverted Pendulum Using Whale Optimization Algorithm. NJEAS. 2025; 2(2): -. doi:10.5455/NJEAS.227713



Vancouver/ICMJE Style

Hassan A, Dada EG. Tuning PID Controller for Inverted Pendulum Using Whale Optimization Algorithm. NJEAS. (2025), [cited March 05, 2025]; 2(2): -. doi:10.5455/NJEAS.227713



Harvard Style

Hassan, A. & Dada, . E. G. (2025) Tuning PID Controller for Inverted Pendulum Using Whale Optimization Algorithm. NJEAS, 2 (2), -. doi:10.5455/NJEAS.227713



Turabian Style

Hassan, Abubakar, and Emmanuel Gbenga Dada. 2025. Tuning PID Controller for Inverted Pendulum Using Whale Optimization Algorithm. Nile Journal of Engineering and Applied Science, 2 (2), -. doi:10.5455/NJEAS.227713



Chicago Style

Hassan, Abubakar, and Emmanuel Gbenga Dada. "Tuning PID Controller for Inverted Pendulum Using Whale Optimization Algorithm." Nile Journal of Engineering and Applied Science 2 (2025), -. doi:10.5455/NJEAS.227713



MLA (The Modern Language Association) Style

Hassan, Abubakar, and Emmanuel Gbenga Dada. "Tuning PID Controller for Inverted Pendulum Using Whale Optimization Algorithm." Nile Journal of Engineering and Applied Science 2.2 (2025), -. Print. doi:10.5455/NJEAS.227713



APA (American Psychological Association) Style

Hassan, A. & Dada, . E. G. (2025) Tuning PID Controller for Inverted Pendulum Using Whale Optimization Algorithm. Nile Journal of Engineering and Applied Science, 2 (2), -. doi:10.5455/NJEAS.227713