scholarly journals Mathematical Models of the Simplest Fuzzy Two-Term (PI/PD) Controllers Using Algebraic Product Inference

2011 ◽  
Vol 2011 ◽  
pp. 1-7 ◽  
Author(s):  
Murali Bosukonda ◽  
Naresh Kelothu
Keyword(s):  
Mathematical Models ◽  
Fuzzy Sets ◽  
Output Variable ◽  
Control Rules ◽  
Variable Control ◽  
Control Community ◽  
Input Variables ◽  
The Universe ◽  
Control Output ◽  
Universe Of Discourse

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.

scholarly journals Penerapan Fuzzy Mamdani Dalam Menentukan Pencapaian Keberhasilan Mengajar Guru MI Mambaul Ulum Al-Amin Sampit

2021 ◽  
Vol 6 (1) ◽  
pp. 9
Author(s):  
R Rahmawati
Keyword(s):  
Fuzzy Sets ◽  
Achievement Level ◽  
Output Variable ◽  
Centroid Method ◽  
The Third ◽  
Input And Output ◽  
Processing Data ◽  
Teacher Success ◽  
Input Variables ◽  
Certain Answers

Current problems often do not have certain answers. The use of fuzzy mamdani logic to determine a level of achievement of the success of the teacher in teaching students at MI Mambaul Ulum Al Amin Sampit is the content of this paper. The problem will be solved by determining the level of achievement of the teacher's success in teaching students, if only two input variables are used, namely the teacher and also the value. So the first thing to solve the problem of the level of achievement of teacher success in teaching through the fuzzy mamdani method is to determine the input and output variables of a firm set. The second thing is changing the input variables into fuzzy sets through fuzzyfication. The third thing is processing data from fuzzy sets using the maximum system. The last or fourth thing is changing the results issued into a firm set through defuzzyfication with the centroid method, so the results are as desired in the output variable. The calculation of fuzzy mamdani results in an achievement level of success for MI teachers with a teacher variable value of 55 and a variable value of 80

New Similarity Measure Between Two Fuzzy Sets

2006 ◽  
Vol 10 (6) ◽  
pp. 946-953 ◽  
Author(s):  
Hassan Rezaei ◽  
◽  
Masashi Emoto ◽  
Masao Mukaidono
Keyword(s):  
Fuzzy Sets ◽  
Similarity Measure ◽  
The Universe ◽  
Universe Of Discourse

We propose a new similarity measure between two fuzzy sets based on their relative sigma count and extend it to define two other measures, one a similarity measure between elements in fuzzy sets and the second a similarity measure between fuzzy sets in which all elements in the universe of discourse are weighted. We compare our proposal to several previous measures proposed in [1-6].

scholarly journals Stability analysis and controller synthesis for hybrid dynamical systems

2010 ◽  
Vol 368 (1930) ◽  
pp. 4937-4960 ◽  
Author(s):  
W. P. M. H. Heemels ◽  
B. De Schutter ◽  
J. Lunze ◽  
M. Lazar
Keyword(s):  
Dynamical Systems ◽  
Mathematical Models ◽  
Hybrid Systems ◽  
Discrete Event ◽  
Research Area ◽  
Hybrid Dynamical Systems ◽  
Technological Systems ◽  
Analysis And Synthesis ◽  
Control Community ◽  
The One

Wherever continuous and discrete dynamics interact, hybrid systems arise. This is especially the case in many technological systems in which logic decision-making and embedded control actions are combined with continuous physical processes. Also for many mechanical, biological, electrical and economical systems the use of hybrid models is essential to adequately describe their behaviour. To capture the evolution of these systems, mathematical models are needed that combine in one way or another the dynamics of the continuous parts of the system with the dynamics of the logic and discrete parts. These mathematical models come in all kinds of variations, but basically consist of some form of differential or difference equations on the one hand and automata or other discrete-event models on the other hand. The collection of analysis and synthesis techniques based on these models forms the research area of hybrid systems theory, which plays an important role in the multi-disciplinary design of many technological systems that surround us. This paper presents an overview from the perspective of the control community on modelling, analysis and control design for hybrid dynamical systems and surveys the major research lines in this appealing and lively research area.

Are “All-and-Some” Statements Falsifiable After All?: The Example of Utility Theory

1986 ◽  
Vol 2 (2) ◽  
pp. 185-195 ◽  
Author(s):  
Philippe Mongin
Keyword(s):  
Melting Point ◽  
Utility Theory ◽  
Logical Form ◽  
Empirical Science ◽  
Demarcation Criterion ◽  
Existential Sentences ◽  
The Universe ◽  
Universe Of Discourse

Popper's well-known demarcation criterion has often been understood to distinguish statements of empirical science according to their logical form. Implicit in this interpretation of Popper's philosophy is the belief that when the universe of discourse of the empirical scientist is infinite, empirical universal sentences are falsifiable but not verifiable, whereas the converse holds for existential sentences. A remarkable elaboration of this belief is to be found in Watkins's early work (1957, 1958) on the statements he calls “all-and-some,” such as: “For every metal there is a melting point.” All-and-some statements (hereafter AS) are both universally and existentially quantified in that order. Watkins argued that AS should be regarded as both nonfalsifiable and nonverifiable, for they partake in the logical fate of both universal and existential statements. This claim is subject to the proviso that the bound variables are “uncircumscribed” (in Watkins's words); i.e., that the universe of discourse is infinite.

Relationship between Selic rate and Basel III parameters - A statistics approach and a fuzzy forecasting model

2021 ◽  
pp. 1-14
Author(s):  
Thiago Henrique Barbosa de Carvalho Tavares ◽  
Bruno Pérez Ferreira ◽  
Eduardo Mazoni Andrade Marçal Mendes
Keyword(s):  
Cross Correlation ◽  
Data Distribution ◽  
Forecasting Model ◽  
Basel Iii ◽  
Output Data ◽  
Basel Accords ◽  
Proposed Model ◽  
The Relationship ◽  
The Universe ◽  
Universe Of Discourse

In this work the relationship between the Selic rate and some bank parameters defined by the so-called Basel Accords is studied. The cross-correlation between the Selic rate and the parameters is used to explain how these parameters affect the Selic rate and vice-versa so as to define the predictability of the Selic rate using (some of) these parameters as inputs. A model is then proposed for predicting the Selic rate based on some specific parameters using fuzzy logic ideas, which dealt with a partitioning of the universe of discourse using clusters related to the output data distribution. The proposed model is compared to four other known models in the literature and showed to have better performance in average compared to all other models.

scholarly journals A fuzzy system for cloacal temperature prediction of broiler chickens

2012 ◽  
Vol 42 (1) ◽  
pp. 166-171 ◽  
Author(s):  
Leandro Ferreira ◽  
Tadayuki Yanagi Junior ◽  
Wilian Soares Lacerda ◽  
Giovanni Francisco Rabelo
Keyword(s):  
Decision Support ◽  
Fuzzy System ◽  
Broiler Chickens ◽  
Broiler Chicken ◽  
Fuzzy Inference ◽  
Air Velocity ◽  
Output Variable ◽  
Average Standard Deviation ◽  
Inference System ◽  
Input Variables

Cloacal temperature (CT) of broiler chickens is an important parameter to classify its comfort status; therefore its prediction can be used as decision support to turn on acclimatization systems. The aim of this research was to develop and validate a system using the fuzzy set theory for CT prediction of broiler chickens. The fuzzy system was developed based on three input variables: air temperature (T), relative humidity (RH) and air velocity (V). The output variable was the CT. The fuzzy inference system was performed via Mamdani's method which consisted in 48 rules. The defuzzification was done using center of gravity method. The fuzzy system was developed using MAPLE® 8. Experimental results, used for validation, showed that the average standard deviation between simulated and measured values of CT was 0.13°C. The proposed fuzzy system was found to satisfactorily predict CT based on climatic variables. Thus, it could be used as a decision support system on broiler chicken growth.

scholarly journals Time Series Seasonal Analysis Based on Fuzzy Transforms

2017 ◽  
Author(s):  
Ferdinando Di Martino ◽  
Salvatore Sessa
Keyword(s):  
Time Series ◽  
Seasonal Forecasting ◽  
Weather Station ◽  
Fuzzy Transform ◽  
Italian Region ◽  
Mean Temperature ◽  
Forecasting Method ◽  
Seasonal Analysis ◽  
The Universe ◽  
Universe Of Discourse

We define a new seasonal forecasting method based on fuzzy transforms. We use the best interpolating polynomial for extracting the trend of the time series and generate the inverse fuzzy transform on each seasonal subset of the universe of discourse for predicting the value of a an assigned output. Like first example, we use the daily weather dataset of the municipality of Naples (Italy) starting from data collected from 2003 till to 2015 making predictions on the following outputs: mean temperature, max temperature and min temperature, all considered daily. Like second example, we use the daily mean temperature measured at the weather station “Chiavari Caperana” in the Liguria Italian Region. We compare the results with our method, the average seasonal variation, ARIMA and the usual fuzzy transforms concluding that the best results are obtained under our approach in both examples.

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