Abstract
The objective of this paper is to reveal the implementation technique of fractional order proportional, integral and derivative (FOPID) controller for the class of nonlinear systems and its tuning method via the gravitation search algorithm (GSA) in a tracking control. The proposed method utilizes the continuous surface of the FOPID controller to deal with the effect of nonlinearities in the plant. The class of non-linear integer order plant with FOPID controller results in a fractional-order dynamic system. The fractional-order dynamics are transformed into an algebraic vector-matrix equation using the non-sinusoidal orthogonal function (NSOF) set. The FOPID controller is tuned via GSA in the NSOF domain for a benchmark simulation case study to validate the proposed scheme.
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Biswas, D., Sharma, K.D., Sarkar, G. (2022). GSA Based FOPID Controller Tuning in NSOF Domain for a Class of Nonlinear Systems. In: Mukhopadhyay, S., Sarkar, S., Dutta, P., Mandal, J.K., Roy, S. (eds) Computational Intelligence in Communications and Business Analytics. CICBA 2022. Communications in Computer and Information Science, vol 1579. Springer, Cham. https://doi.org/10.1007/978-3-031-10766-5_13
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