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


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Abstract

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.


Keywords


Pages

Total Pages: 9

DOI
10.31209/2018.100000067


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Published

Online Article

JOURNAL INFORMATION


ISSN PRINT: 1079-8587
ISSN ONLINE: 2326-005X
DOI PREFIX: 10.31209
10.1080/10798587 with T&F
IMPACT FACTOR: 0.652 (2017/2018)
Journal: 1995-Present




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