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Progress in Fractional Differentiation & Applications

Author Country (or Countries)

India

Abstract

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.

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