Improved Performance of Cascaded Fractional-Order SMC over Cascaded SMC for Position Control of a Ball and Plate System

ABSTRACT

This paper deals with a comparative analysis of the performances of sliding mode controller (SMC) and fractional-order sliding mode controller (FOSMC) when applied to the problem of trajectory control of ball in a ball and plate (BP) system. Owing to the open-loop instability, inherent nonlinearity, and under actuation, the BP system is considered a benchmark platform for testing the efficacies of different control algorithms. In this work, a robust cascaded SMC is initially designed to track the desired trajectory and tackle the uncertainties present in the system. In order to improve the speed of response, an FOSMC is designed thereafter. The two-control algorithms are simulated on MATLAB-Simulink environment and the experimental validation is later carried out on a BP laboratory set-up (Feedback Instruments Model No. 033-240). The simulation results and experimental validation convey that FOSMC performs better than SMC in regard to speed of response and tracking accuracy without increasing the level of chattering and control effort.

KEYWORDS:

• Ball and plate syste
• Fractional order sliding mode
• SMC

DISCLOSURE STATEMENT

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Arindam Das

Arindam Das received his BTech degree in electrical engineering from NIT Silchar, India, in 2013. He is currently pursuing MTech in control and industrial automation at NIT Silchar. His areas of interest are nonlinear control, robust control, power electronics, etc.

E-mail: [email protected]

Prasanta Roy

Prasanta Roy received his integrated BTech. and MTech degree in electrical engineering from IIT Kharagpur in 2006. Currently, he is an assistant professor in the Department of Electrical Engineering of NIT Silchar, India. His expertise lies in the areas of control systems design, fractional-order system and control, industrial automation, etc.

E-mail: [email protected]