Influence of different fuzzy operators on analytical structure and variable gains of typical interval type-2 fuzzy PI controller

2020 ◽  
Vol 39 (3) ◽  
pp. 4319-4329
Author(s):  
Haibo Zhou ◽  
Chaolong Zhang ◽  
Shuaixia Tan ◽  
Yu Dai ◽  
Ji’an Duan ◽  
...  
Keyword(s):  
Pi Controller ◽  
Real Time Control ◽  
Fuzzy Operators ◽  
Fuzzy Operator ◽  
Analytical Structure ◽  
Product Operator ◽  
Pi Controllers ◽  
Fuzzy Pi Controller ◽  
Interval Type

The fuzzy operator is one of the most important elements affecting the control performance of interval type-2 (IT2) fuzzy proportional-integral (PI) controllers. At present, the most popular fuzzy operators are product fuzzy operator and min() operator. However, the influence of these two different types of fuzzy operators on the IT2 fuzzy PI controllers is not clear. In this research, by studying the derived analytical structure of an IT2 fuzzy PI controller using typical configurations, it is proved mathematically that the variable gains, i.e., proportional and integral gains of typical IT2 fuzzy PI controllers using the min() operator are smaller than those using the product operator. Moreover, the study highlights that unlike the controllers based on the product operator, the controllers based on the min() operator have a simple analytical structure but provide more control laws. Real-time control experiments on a linear motor validate the theoretical results.

scholarly journals Comparative Analysis of PI controller, Fuzzy controller and Interval Type-2 Fuzzy based Performance of Dynamic Voltage Restorer for Compensation of Voltage Sag and Swell

2021 ◽  
Vol 23 (07) ◽  
pp. 550-557
Author(s):  
Bharti Thakur ◽  
◽  
Dr. Archana Rani ◽  
Keyword(s):  
Power Systems ◽  
Fuzzy Controller ◽  
Pi Controller ◽  
Voltage Sag ◽  
Dynamic Voltage Restorer ◽  
Synchronous Reference Frame ◽  
Voltage Restorer ◽  
Dynamic Voltage ◽  
Interval Type

In today’s scenario, the power quality issues like voltage sag and swell are major concerns in power systems. On the distribution, side to overcome this issue a custom power device DVR(Dynamic Voltage Restorer) is proven to be a more effective solution that is lower in cost, smaller in size, and offers a faster dynamic response for the protection of sensitive load. DVR is a series compensating device which operates as a voltage booster. The application of DVR is entitled to be a flawless compensating device for the compensation of voltage sag and swell. This paper presents the modeling and simulation using various controller topologies like PI controller based on synchronous reference frame algorithm, fuzzy controller, and interval type 2 fuzzy controller. The results are then verified using a Matlab-Simulink environment.

Study on Application of Interval Type 2 Fuzzy Logic Control for Gap Width Controller Used in EDM Machine

2013 ◽  
Vol 365-366 ◽  
pp. 863-869 ◽  
Author(s):  
Kotler Ter Pey Tee ◽  
Reza Hosseinnezhad ◽  
Milan Brandt ◽  
John Mo
Keyword(s):  
Fuzzy Logic ◽  
Fuzzy Logic Control ◽  
Control Method ◽  
Pi Controller ◽  
Logic Control ◽  
Highly Nonlinear ◽  
Gap Control ◽  
Interval Type ◽  
Gap Width

This paper presents a new method for controlling the gap distance in an EDM machine. Existing gap width control method using PI controller does not perform efficiently in a highly nonlinear and time-variant process such as EDM. In this method, constant tuning of the PI controller is required to achieve a stable and efficient EDM process. The new gap control method present in this paper uses an artificial intelligent type 2 fuzzy logic control to control the gap distance between the electrode and the workpiece. The main advantage of this proposed method is its robustness that would rid the practitioners from the tedious tuning job and would provide the industry with better accuracy and confidence in the control performance.

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