The Field of Automatic Control Systems Using Fractional Calculus

Abstract

In this paper I have proposed improvements in adaptive algorithms by the introduction of fractional order operators.

That controllers based on a fractional order calculation have gained more and more interest from the community of control. In this area of research, Developed fractional order controllers include operators and or systems in their structure or implementation. These controllers have been introduced into control applications in an ongoing effort to improve control system performance and robustness. The problem was solved using the proposed algorithm (MOWOA) to make a comparison between the solution with some other methods. Also, a numerical example is shown with data in their real form to compare the effectiveness of the proposed classification technique. The proposed obfuscation and ordering technique can be used in other areas of decision-making that deal with data in the same fashion. The results were obtained by various numerical examples and applied to the fractional order filter. The contribution presents an optimal tuning of the classical PID controller and the fractional order PI^IDⁿfor brushless DCmotor speed control, using single-and multi-objective optimization. Control parameters were synthesized using the MOWOA (Multi-Objective Whale Optimization Algorithm) algorithm.