Abstract: In this paper we propose a Fractional Order Controller for an under-actuated system (POAC). This system has two degrees-of-freedom and one control input. The model of the system is derived using Euler Lagrange method and the stabilization is achieved with constraints using Fractional Order Controller. To validate the control law, simulation are performed and compared with Integer Order Controller.
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WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 10, 2015, Art. #19
Abhaya Pal Singh, Himanshu Agarwal, Pallavi Srivastava, "Fractional Order Controller Design for Inverted Pendulum an a Cart System (POAC) Inverted Pendulum On A Cart System (POAC)," WSEAS Transactions on Systems and Control, vol. 10, pp. 172-178, 2015, DOI:
Abhaya Pal Singh, Himanshu Agarwal, Pallavi Srivastava. Fractional Order Controller Design for Inverted Pendulum an a Cart System (POAC) Inverted Pendulum On A Cart System (POAC).
WSEAS Transactions on Systems and Control. 2015;10:172-178.