Fractional Model Reference Adaptive PIλDμ Control

Hüseyin Arpacı; Ömerül Faruk Özgüven; Mehmet Serhat Can

EN

Fractional Model Reference Adaptive PIλDμ Control

Abstract

This study explains the auto-adjustable fractional order the proportional–integral–derivative (PID) controller design methodology by using the technique of fractional model reference adaptive control (fractional MRAC). This method purposes a fractional order model reference adaptive PID (fractional MRAPI^λD^μ) control structure by applying the MIT rule to an adaptive control system which is including fractional order PID controller. This structure uses fractional order derivative, integral operators and fractional order reference model. Through this method, fractional order PID controller will be faster and more robustness.

Respectively using integer PID and fractional order PID, the coefficients of them are determined with Zeigler-Nichols technique, simulation applications of the fractional MRAPI^λD^μ control and the model reference adaptive PID (MRAPID) control performed. By means of the results obtained from simulation applications, fractional MRAPI^λD^μ control is compared to integer MRAPID control in terms of performance, speed and robustness.

Keywords

Fractional calculus,fractional PID (PIλDμ); Model Reference Adaptive Control; Fractional Model Reference Adaptive Control; Zeigler-Nichols; Performance and Robustness Comparison

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Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Hüseyin Arpacı This is me

Ömerül Faruk Özgüven

Mehmet Serhat Can

Publication Date

December 31, 2016

Submission Date

November 30, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 5 Number: 11

IZ

https://izlik.org/JA63HX45BR

APA

Arpacı, H., Özgüven, Ö. F., & Can, M. S. (2016). Fractional Model Reference Adaptive PIλDμ Control. Journal of New Results in Science, 5(11), 102-117. https://izlik.org/JA63HX45BR

AMA

1.Arpacı H, Özgüven ÖF, Can MS. Fractional Model Reference Adaptive PIλDμ Control. JNRS. 2016;5(11):102-117. https://izlik.org/JA63HX45BR

Chicago

Arpacı, Hüseyin, Ömerül Faruk Özgüven, and Mehmet Serhat Can. 2016. “Fractional Model Reference Adaptive PIλDμ Control”. Journal of New Results in Science 5 (11): 102-17. https://izlik.org/JA63HX45BR.

EndNote

Arpacı H, Özgüven ÖF, Can MS (October 1, 2016) Fractional Model Reference Adaptive PIλDμ Control. Journal of New Results in Science 5 11 102–117.

IEEE

[1]H. Arpacı, Ö. F. Özgüven, and M. S. Can, “Fractional Model Reference Adaptive PIλDμ Control”, JNRS, vol. 5, no. 11, pp. 102–117, Oct. 2016, [Online]. Available: https://izlik.org/JA63HX45BR

ISNAD

Arpacı, Hüseyin - Özgüven, Ömerül Faruk - Can, Mehmet Serhat. “Fractional Model Reference Adaptive PIλDμ Control”. Journal of New Results in Science 5/11 (October 1, 2016): 102-117. https://izlik.org/JA63HX45BR.

JAMA

1.Arpacı H, Özgüven ÖF, Can MS. Fractional Model Reference Adaptive PIλDμ Control. JNRS. 2016;5:102–117.

MLA

Arpacı, Hüseyin, et al. “Fractional Model Reference Adaptive PIλDμ Control”. Journal of New Results in Science, vol. 5, no. 11, Oct. 2016, pp. 102-17, https://izlik.org/JA63HX45BR.

Vancouver

1.Hüseyin Arpacı, Ömerül Faruk Özgüven, Mehmet Serhat Can. Fractional Model Reference Adaptive PIλDμ Control. JNRS [Internet]. 2016 Oct. 1;5(11):102-17. Available from: https://izlik.org/JA63HX45BR