Performance comparison of applying integer and fractional order calculus to DC motor speed control experiments

Abstract

Fractional order calculus has been widely studied because it is suspected to perform better than integer one, particularly in control system applications. The performance comparison of the two methods on the derivative and integral orders is fascinating. Experimental application studies will strengthen validation compared to just going through simulations. This research aims to compare the performance of integer and fractional orders on the implementation of DC motor speed control. The experimental results indicated that the fractional order calculus method was commonly more satisfactory than the integer one both in accuracy and convergent rate in controlling DC motor speed. Additionally, it enhanced its accuracy by approximately 2% for integral gain and up to 12% for differential one. However, the integer order calculus approach has a faster settling time and better stability than the fractional order technique in the case of differential gain.