Comparative Analysis of GOA, WCA and PSO Tuned Fractional Order-PID Controller for Cart-Inverted Pendulum

Control of cart based inverted pendulum system is a classical problem of control system and is widely used to verify the effectiveness of control algorithms. In this paper, fractional order PID (FOPID) controller has been used to control the cart position and pendulum angle. Three optimization algorithms namely, particle swarm optimization (PSO), water cycle algorithm (WCA) and grasshopper optimization algorithm (GOA) has been used to tune the parameters of the FOPID controller for underline problem. Results shows that, FOPID controller was able to control both cart position and pendulum angle effectively. Further, it has also been shown that GOA tuned FOPID controller performs better as compared to WCA and PSO tuned FOPID controller. The entire system was simulated using MATLAB2018a.