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The permanent magnet brush-less dc motor is a nonlinear, multivariable structure and magnetic coupled system wherein the load disturbances and the parameter uncertainties adversely affect the dynamic performance. From this, it required that the designed controller for the system must deal with the complexities. The objective of this paper is to introduce a novel fractional order proportional-integral controller for permanent magnet brush-less dc motor dealing with set parameter tracking problem. In this paper, in order to find the needed optimal gain parameters combination of metaheuristic and numerical optimization algorithm called Grey Wolf-Runge Kutta algorithm is proposed. The efficacy of the proposed technique is demonstrated by comparing it with existing optimization technique viz. particle swarm, grey wolf, and runge kutta algorithm. Furthermore, the stability and robustness analysis for the proposed controller is also studied for different operating conditions such as set speed variations, load disturbances and parameter variations. The simulation is performed using MATLAB toolbox. From the simulation results it is evident that FOPI controller optimized with novel hybrid algorithm guarantee the best set speed tracking and also capable to ameliorate the system robustness for parameter variations as well as external load disturbances.

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