Mathematical Models of the Simplest Fuzzy Two-Term (PIPD) Controllers Using Algebraic Product Inference
Joint Authors
Kelothu, Naresh
Bosukonda, Murali
Source
Modelling and Simulation in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-24
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper reveals mathematical models of the simplest Mamdani PI/PD controllers which employ two fuzzy sets (N: negative and P: positive) on the universe of discourse (UoD) of each of two input variables (displacement and velocity) and three fuzzy sets (N: negative, Z: zero, and P: positive) on the UoD of output variable (control output in the case of PD, and incremental control output in the case of PI).
The basic constituents of these models are algebraic product/minimum AND, bounded sum/algebraic sum/maximum OR, algebraic product inference, three linear fuzzy control rules, and Center of Sums (CoS) defuzzification.
Properties of all these models are investigated.
It is shown that all these controllers are different nonlinear PI/PD controllers with their proportional and derivative gains changing with the inputs.
The proposed models are significant and useful to control community as they are completely new and qualitatively different from those reported in the literature.
American Psychological Association (APA)
Bosukonda, Murali& Kelothu, Naresh. 2011. Mathematical Models of the Simplest Fuzzy Two-Term (PIPD) Controllers Using Algebraic Product Inference. Modelling and Simulation in Engineering،Vol. 2011, no. 2011, pp.1-7.
https://search.emarefa.net/detail/BIM-481893
Modern Language Association (MLA)
Bosukonda, Murali& Kelothu, Naresh. Mathematical Models of the Simplest Fuzzy Two-Term (PIPD) Controllers Using Algebraic Product Inference. Modelling and Simulation in Engineering No. 2011 (2011), pp.1-7.
https://search.emarefa.net/detail/BIM-481893
American Medical Association (AMA)
Bosukonda, Murali& Kelothu, Naresh. Mathematical Models of the Simplest Fuzzy Two-Term (PIPD) Controllers Using Algebraic Product Inference. Modelling and Simulation in Engineering. 2011. Vol. 2011, no. 2011, pp.1-7.
https://search.emarefa.net/detail/BIM-481893
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481893