Input-output scaling factors tuning of type-2 fuzzy PID controller using multi-objective optimization technique

Kamran Sabahi; Chunwei Zhang; Nasreen Kausar; Ardashir Mohammadzadeh; Dragan Pamucar; Amir H. Mosavi; Kamran Sabahi; Chunwei Zhang; Nasreen Kausar; Ardashir Mohammadzadeh; Dragan Pamucar; Amir H. Mosavi

doi:10.3934/math.2023399

AIMS Mathematics

2023, Volume 8, Issue 4: 7917-7932. doi: 10.3934/math.2023399

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Input-output scaling factors tuning of type-2 fuzzy PID controller using multi-objective optimization technique

1.
Department of Engineering Sciences, Faculty of Advanced Technologies, University of Mohaghegh Ardabili, Namin, Iran
2.
Multidisciplinary Center for Infrastructure Engineering, Shenyang University of Technology, Shenyang 110870, China
3.
Department of Mathematics, Faculty of Arts and Science, Yildiz Technical University, Esenler, 34210, Istanbul, Turkey
4.
Faculty of Organizational Sciences, University of Belgrade, 11000 Belgrade, Serbia
5.
Obuda University, Budapest, Hungary

Received: 22 September 2022 Revised: 10 November 2022 Accepted: 21 November 2022 Published: 31 January 2023
MSC : 93C42, 93C40

The PID controller is a popular controller that is widely used in various industrial applications. On the other hand, the control problems in microgrids (MGs) are so challenging, because of natural disturbances such as wind speed changes, load variation, and changes in other sources. This paper proposes an input-output scaling factor tuning of interval type-2 fuzzy (IT2F) PID controller using a multi-objective optimization technique. The suggested controller is applied to an MG frequency regulation problem. In the introduced controller the effect of variations of renewable energies (REs) and other disturbances are taken into account, and the robustness is investigated. In the multi-objective scheme, some factors such as least overshoot, and minimum settling/rising time are considered. The simulations show that by considering the suitable adjustment the desired regulation accuracy is achieved, such that the frequency trajectory shows the desired overshoot, and settling/rising time.
- PID,
- self-structuring,
- fuzzy controller,
- type-2 fuzzy logic,
- overshoot,
- settling/rising time
Citation: Kamran Sabahi, Chunwei Zhang, Nasreen Kausar, Ardashir Mohammadzadeh, Dragan Pamucar, Amir H. Mosavi. Input-output scaling factors tuning of type-2 fuzzy PID controller using multi-objective optimization technique[J]. AIMS Mathematics, 2023, 8(4): 7917-7932. doi: 10.3934/math.2023399

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Abstract

The PID controller is a popular controller that is widely used in various industrial applications. On the other hand, the control problems in microgrids (MGs) are so challenging, because of natural disturbances such as wind speed changes, load variation, and changes in other sources. This paper proposes an input-output scaling factor tuning of interval type-2 fuzzy (IT2F) PID controller using a multi-objective optimization technique. The suggested controller is applied to an MG frequency regulation problem. In the introduced controller the effect of variations of renewable energies (REs) and other disturbances are taken into account, and the robustness is investigated. In the multi-objective scheme, some factors such as least overshoot, and minimum settling/rising time are considered. The simulations show that by considering the suitable adjustment the desired regulation accuracy is achieved, such that the frequency trajectory shows the desired overshoot, and settling/rising time.

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