Derivation of the analytical structure of symmetrical IT2 fuzzy PD and PI controllers

2010 ◽  
Author(s):  
Maowen Nie ◽  
Woei Wan Tan
Keyword(s):  
Analytical Structure ◽  
Pi Controllers ◽  
Fuzzy Pd

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.

Tuning fuzzy PD and PI controllers using reinforcement learning

2010 ◽  
Vol 49 (4) ◽  
pp. 543-551 ◽  
Author(s):  
Hamid Boubertakh ◽  
Mohamed Tadjine ◽  
Pierre-Yves Glorennec ◽  
Salim Labiod
Keyword(s):  
Reinforcement Learning ◽  
Pi Controllers ◽  
Fuzzy Pd

scholarly journals Fuzzy Supervisor Approach Design Based-Switching Controller for Pumping Station: Experimental Validation

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Wael Chakchouk ◽  
Chiheb Ben Regaya ◽  
Abderrahmen Zaafouri ◽  
Anis Sellami
Keyword(s):  
Tracking Error ◽  
Experimental Tests ◽  
Operating Conditions ◽  
Pumping Station ◽  
Wide Range ◽  
Pi Controllers ◽  
Switching Controller ◽  
Hydraulic Process ◽  
Fuzzy Pd ◽  
Fuzzy Supervisor

This paper proposes a discrete-time switching controller strategy for a hydraulic process pumping station. The proposed solution leads to improving control system performances with two tests: combination of Fuzzy-PD and PI controllers and Fuzzy-PID and PI controllers. The proposed design methodology is based on accurate model for pumping station (PS), which is developed in previous works using Fuzzy-C Means (FCM) algorithm. The control law design is based on switching control; a fuzzy supervisor manages the switching from one to another and regulates the rate of participation of each order, in order to satisfy various objectives of a stable pumping station like the asymptotic stability of the tracking error. To validate the proposed solution, experimental tests are made and analyzed. Compared to the conventional PI and fuzzy logic (FL) approaches, the results show that the switching controller allows exhibiting excellent transient response over a wide range of operating conditions and especially is easier to be implemented in practice.

Approaches for Analysing Norm Relationships

2017 ◽  
Author(s):  
Henning Grosse Ruse-Khan
Keyword(s):  
Conflict Resolution ◽  
Intellectual Property ◽  
International Law ◽  
Structure Building ◽  
Analytical Structure ◽  
Rules And Principles ◽  
Logical Order ◽  
International Law Commission ◽  
Rule Systems ◽  
Law Commission

This chapter discusses conflict-resolution tools and develops an analytical structure building on rules and principles in international intellectual property (IP) treaties, other rule-systems, and general international law to define norm relationships of interpretation and of conflict. Several tools are taken from the ‘toolbox’ developed in the Fragmentation Report of the International Law Commission and other fragmentation literature. Depending on the type of relationship at stake, the most appropriate legal tools to address them may vary. The ILC Report and Conclusions provide for some of the tools and to some extent for an analytical structure, a logical order for examining these relationships. As the chapter shows, for some types of legal relations other approaches are more adequate. They hence complement the ILC principles and need to be integrated in the set of tools available.

Method for Tuning Setpoint Weighted PI Controllers

2000 ◽  
Vol 33 (13) ◽  
pp. 49-54
Author(s):  
Pasi Airikka ◽  
Pentti Lautala
Keyword(s):  
Pi Controllers
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