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PID Tuning Method Using Single-Valued Neutrosophic Cosine Measure and Genetic Algorithm

Jun Ye
Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, Zhejiang Province 312000, P.R. China
* Corresponding Authors: Jun Ye, (Jun Ye),

Intelligent Automation & Soft Computing 2019, 25(1), 15-23.


Because existing proportional-integral-derivative (PID) tuning method using similarity measures of single-valued neutrosophic sets (SVNSs) and an increasing step algorithm shows its complexity and inconvenience, this paper proposes a PID tuning method using a cosine similarity measure of SVNSs and genetic algorithm (GA) to improve the existing PID tuning method. In the tuning process, the step response characteristic values (rising time, settling time, overshoot ratio, undershoot ratio, peak time, and steady-state error) of the control system are converted into the single-valued neutrosophic set (SVNS) by the neutrosophic membership functions (Neutrosophication). Then the values of three appropriate parameters in a PID controller can be determined by GA corresponding to the maximum similarity measure value between the actual (real) single-valued neutrosophic set (SVNS) and a previously determined ideal SVNS. Finally, the proposed method is tested on two actual examples, and then the simulation results show the effectiveness and convenience of the proposed PID tuning method.


Single-valued neutrosophic set; PID tuning; Cosine similarity measure; Genetic algorithm

Cite This Article

. , "Pid tuning method using single-valued neutrosophic cosine measure and genetic algorithm," Intelligent Automation & Soft Computing, vol. 25, no.1, pp. 15–23, 2019.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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