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													Modeling the Under-Actuated Mechanical System with Fractional Order Derivative |  
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													| PP: 57-64 |  
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													| Author(s) |  
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													| Trisha Srivastava,
                                                    
													Abhaya Pal Singh,
                                                    
													Himanshu Agarwal, |  
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													| Abstract |  
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													| 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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