Applied Mathematics & Information Sciences

Article Title

Modeling the Under-Actuated Mechanical System with Fractional Order Derivative


This paper presents the fractional order modeling of an under-actuated mechanical system. The under-actuated system taken in this paper is an overhead crane that has two degrees of freedom and one control input. The modeling equation is derived with the help of Euler-Lagrange equation. The proposed mathematical model is helpful in understanding the under-actuated mechanical system’s fractional characteristics.