2021
DOI: 10.3390/e23020130
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A Simplified Fractional Order PID Controller’s Optimal Tuning: A Case Study on a PMSM Speed Servo

Abstract: A simplified fractional order PID (FOPID) controller is proposed by the suitable definition of the parameter relation with the optimized changeable coefficient. The number of the pending controller parameters is reduced, but all the proportional, integral, and derivative components are kept. The estimation model of the optimal relation coefficient between the controller parameters is established, according to which the optimal FOPID controller parameters can be calculated analytically. A case study is provided… Show more

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Cited by 29 publications
(25 citation statements)
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“…Such a control structure contains a non-integer order that has several advantages such as flexibility in design and high robustness. The fractional-order PI λ transfer function can be defined as [34,35]: Since the error signal e(.) of Equation ( 6) was very small around the MPP, the step size of the INR method was updated based on the value of the error signal.…”
Section: Preliminariesmentioning
confidence: 99%
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“…Such a control structure contains a non-integer order that has several advantages such as flexibility in design and high robustness. The fractional-order PI λ transfer function can be defined as [34,35]: Since the error signal e(.) of Equation ( 6) was very small around the MPP, the step size of the INR method was updated based on the value of the error signal.…”
Section: Preliminariesmentioning
confidence: 99%
“…To improve the dynamic response of the conventional incremental resistance method, a fractional-order PI λ D µ -based control was adopted [34][35][36]. The fractional INRT utilizes a fractional PI λ controller instead of an integer integrator.…”
Section: Preliminariesmentioning
confidence: 99%
See 1 more Smart Citation
“…Fractional differential systems have been widely studied and applied to describe various real systems and processes [11][12][13][14]. Recently, various strategies based on fractional calculus have been developed and applied to different areas, such as feedback control, disturbance estimation and signal processing [15][16][17]. In addition, fractional order controllers have been found to obtain more control options and flexibility than integer order controllers.…”
Section: Introductionmentioning
confidence: 99%
“…The FC has the potential to improve the performance of control systems as demonstrated by Zheng et al (ZLCW) [ 9 ]. They argue that the improvement is due to the greater flexibility in modeling of systems and in the controller design methodology using fractional-order proportional-integral-derivative (FOPID) which is a generalization of the classical PID controller.…”
mentioning
confidence: 99%