Development of a Crisp Fuzzy-Like Controller Using Formula-Based and Vectorized Approaches

Simplifying of implementation of linear state feedback fuzzy controllers is investigated through the thesis. One of the most important problems in fuzzy controller design is the number of fuzzy subsets (membership functions) for each fuzzy input/output variable. The number of fuzzy subsets and co...

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Main Author: Mohammad, Karimadini
Format: Thesis
Language:English
English
Published: 2006
Subjects:
Online Access:http://psasir.upm.edu.my/id/eprint/6131/1/FK_2006_51.pdf
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spelling my-upm-ir.61312023-10-11T03:05:02Z Development of a Crisp Fuzzy-Like Controller Using Formula-Based and Vectorized Approaches 2006-05 Mohammad, Karimadini Simplifying of implementation of linear state feedback fuzzy controllers is investigated through the thesis. One of the most important problems in fuzzy controller design is the number of fuzzy subsets (membership functions) for each fuzzy input/output variable. The number of fuzzy subsets and consequently the number of fuzzy rules should be big enough to achieve good approximation of control surface and have a smooth and robust control. However as the number of rules increases, the memory space, and program cycle time and total project cost will also increase dramatically. The thesis proposes crisp-fuzzy like controller derived by two novel approaches. The first one which is formula based crisp fuzzy-like controller proves that the monotonic fuzzy controller is similar to nonlinear saturated controller and then represents several different controller formulas. The second controller namely vectorized crisp fuzzy -like controller maps the fuzzy variables in a vectorial space and derives formula that has the structure similar to PID controllers. The proposed controllers are inspired from fuzzy logic where they can express the control law semantically but they are absolutely crips.Consenquently the needed memory space is minimizes since the rule table has been replace with the formula. On the other fuzzy controllers have high computational complexity while the new controllers are very simple to design, tune and implment.some new performance indexes also are porposed to evaluate the performance and stability of different controllers. Several well-known industrial models are used for simulation and a dimmer circuit to control the bulb temperature,has been used as a case study. Both simulation and experimental results show that the crips - fuzzy like controllers have the same or in some cases better performance and stability compare with the conventional fuzzy logic controllers, with extra merits of lower memory space and cycle time. Fuzzy logic Control theory Vector analysis 2006-05 Thesis http://psasir.upm.edu.my/id/eprint/6131/ http://psasir.upm.edu.my/id/eprint/6131/1/FK_2006_51.pdf text en public masters Universiti Putra Malaysia Fuzzy logic Control theory Vector analysis Engineering Marhaban, Mohammad Hamiruce English
institution Universiti Putra Malaysia
collection PSAS Institutional Repository
language English
English
advisor Marhaban, Mohammad Hamiruce
topic Fuzzy logic
Control theory
Vector analysis
spellingShingle Fuzzy logic
Control theory
Vector analysis
Mohammad, Karimadini
Development of a Crisp Fuzzy-Like Controller Using Formula-Based and Vectorized Approaches
description Simplifying of implementation of linear state feedback fuzzy controllers is investigated through the thesis. One of the most important problems in fuzzy controller design is the number of fuzzy subsets (membership functions) for each fuzzy input/output variable. The number of fuzzy subsets and consequently the number of fuzzy rules should be big enough to achieve good approximation of control surface and have a smooth and robust control. However as the number of rules increases, the memory space, and program cycle time and total project cost will also increase dramatically. The thesis proposes crisp-fuzzy like controller derived by two novel approaches. The first one which is formula based crisp fuzzy-like controller proves that the monotonic fuzzy controller is similar to nonlinear saturated controller and then represents several different controller formulas. The second controller namely vectorized crisp fuzzy -like controller maps the fuzzy variables in a vectorial space and derives formula that has the structure similar to PID controllers. The proposed controllers are inspired from fuzzy logic where they can express the control law semantically but they are absolutely crips.Consenquently the needed memory space is minimizes since the rule table has been replace with the formula. On the other fuzzy controllers have high computational complexity while the new controllers are very simple to design, tune and implment.some new performance indexes also are porposed to evaluate the performance and stability of different controllers. Several well-known industrial models are used for simulation and a dimmer circuit to control the bulb temperature,has been used as a case study. Both simulation and experimental results show that the crips - fuzzy like controllers have the same or in some cases better performance and stability compare with the conventional fuzzy logic controllers, with extra merits of lower memory space and cycle time.
format Thesis
qualification_level Master's degree
author Mohammad, Karimadini
author_facet Mohammad, Karimadini
author_sort Mohammad, Karimadini
title Development of a Crisp Fuzzy-Like Controller Using Formula-Based and Vectorized Approaches
title_short Development of a Crisp Fuzzy-Like Controller Using Formula-Based and Vectorized Approaches
title_full Development of a Crisp Fuzzy-Like Controller Using Formula-Based and Vectorized Approaches
title_fullStr Development of a Crisp Fuzzy-Like Controller Using Formula-Based and Vectorized Approaches
title_full_unstemmed Development of a Crisp Fuzzy-Like Controller Using Formula-Based and Vectorized Approaches
title_sort development of a crisp fuzzy-like controller using formula-based and vectorized approaches
granting_institution Universiti Putra Malaysia
granting_department Engineering
publishDate 2006
url http://psasir.upm.edu.my/id/eprint/6131/1/FK_2006_51.pdf
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