Fractional Model Reference Adaptive PIλDμ Control

Authors : Hüseyin Arpaci, Ömerül Faruk Özgüven, Mehmet Serhat Can

Pages : 102-117

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Publication Date : 2016-08-08

Article Type : Other

Abstract :This study explains the auto-adjustable fractional order the proportional–integral–derivative (PID) controller design methodology by using the technique of fractional model reference adaptive control (fractional MRAC). This method purposes a fractional order model reference adaptive PID (fractional MRAPI λ D μ ) control structure by applying the MIT rule to an adaptive control system which is including fractional order PID controller. This structure uses fractional order derivative, integral operators and fractional order reference model. Through this method, fractional order PID controller will be faster and more robustness.   Respectively using integer PID and fractional order PID, the coefficients of them are determined with Zeigler-Nichols technique, simulation applications of the fractional MRAPI λ D μ control and the model reference adaptive PID (MRAPID) control performed. By means of the results obtained from simulation applications, fractional MRAPI λ D μ control is compared to integer MRAPID control in terms of performance, speed and robustness.
Keywords : Fractional calculus, fractional PID (PIλDμ), Model Reference Adaptive Control, Fractional Model Reference Adaptive Control, Zeigler-Nichols, Performance and Robustness Comparison