Abstract
This paper presents a controller design method using lead and lag controllers for fractional-order control systems. In the presented method, it is aimed to minimize the error in the control system and to obtain controller parameters parametrically. The error occurring in the system can be minimized by integral performance criteria. The lead and lag controllers have three parameters that need to be calculated. These parameters can be determined by the simulation model created in the Matlab environment. In this study, the fractional-order system in the model was performed using Matsuda’s fourth-order integer approximation. In the optimization model, the error is minimized by using the integral performance criteria, and the controller parameters are obtained for the minimum error values. The results show that the presented method gives good step responses for lead and lag controllers.
Highlights
Controller design is a common subject matter in the literature and there are many scientific studies in this regard
Lead and lag controllers are mostly used in industrial servo systems with integral effect and have better control performance than PID controllers
The lead and lag controllers are similar in general structure, they differ in terms of the location of poles and zeros
Summary
Controller design is a common subject matter in the literature and there are many scientific studies in this regard. Monje et al.[11] proposed an autotuning method for controlling integer-order systems using a fractional-order lead/lag controller. In the Salehtavazoei and Tavakoli-Kakhki[13] study, they presented a method for performing a fractional-order lead/lag controller design according to the desired gain and phase margin for a given frequency for the integer-order system. It is seen that the use of lead and lag controller is limited in fractional-order systems.
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