Implementation of class topper optimized fractional order proportional-integral-derivative controller for cart-inverted pendulum system
- Amity School of Engineering and Technology, Department of Electrical and Electronics Engineering, Noida, India
Received: 2024-08-25
Revised: 2025-02-07
Accepted: 2025-02-20
Published 2025-03-01
Copyright (c) 2025 Neelam Verma, Anjali Jain (Author)

This work is licensed under a Creative Commons Attribution 4.0 International License.
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Abstract
Controlling a cart-pendulum system involves both swinging the pendulum up and maintaining its upright position. Typically, separate controllers are used for the swing-up and stabilization phases. This paper presents the implementation of a Fractional Order Proportional-Integral-Derivative (FOPID) controller for the cart-pendulum system. A novel metaheuristic method, Class Topper Optimization (CTO), is utilized to design and optimize the FOPID controller’s performance for both the cart and pendulum. The study focuses on the pendulum angle and arm angle as key parameters. Results indicate that the proposed approach outperforms existing methods such as Genetic Algorithm (GA), Particle Swarm Optimization (PSO), and Ant Colony Optimization (ACO).
Keywords
- Inverted cart pendulum,
- Non-linear controllers,
- Fractional order PID controller,
- Class topper optimization,
- Performance enhancement