Some Investigations on the Design and Implementation of Fractional Order Control System

Abstract

newlineThis thesis investigates the application of fractional order control methodology in the design of newlinecontrol systems for linear and nonlinear systems. The fractional-order control algorithm like newlineFOPID, Adaptive Controller, Model Reference Adaptive Control (MRAC), Fractional Order newlineMRAC(FO-MRAC), Fractional order optimal control (FOCP ), etc have been explored for the newlinegiven plant. The effectiveness of soft computing technique based adaptation mechanisms for newlineMRAC is also presented in the present work. Further, an identification technique has been newlineproposed to find out the fractional-order transfer of the given plant. Role of the artificial newlineintelligence-based algorithm and metaheuristic based algorithm is also explored. newlineSince the fractional-order operator itself represents the infinite-dimensional system, it is necessary newlineto find a suitable approximation of the fractional-order operator. A lot of research work has been newlinecarried out approximate the fractional-order operator in finite-dimensional space. Out of the many newlineavailable methods and combinations available, it has been necessary to find out the appropriate newlineapproximation method for the given system. A comparative analysis based study has been carried newlineout to select a suitable method to approximate the fractional-order operator. Using this method, newlineall the related simulations and hardware implementation has been carried out. newlineMost of the model-based control strategies are failed in the practical environment due to inherent newlinenonlinearity and unknown dynamics in the system, Fractional-order modelling overcome this newlinedisadvantage. Idea is to take benefit of fractional order modelling for accurate control of the newlinefractional-order system. A practical methodology has been suggested for the identification and newlinecontrol of the fractional-order control system. Results are presented, analyzed and compared for newlineapplied strategies newlineWith results, it has been observed that to fractional-order model fits better than the integer-order newlinemodel. Further, it has been observed that fracti