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:	Fuzzy logic Control theory Vector analysis
Online Access:	http://psasir.upm.edu.my/id/eprint/6131/1/FK_2006_51.pdf
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id	my-upm-ir.6131
record_format	uketd_dc
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
_version_	1783725687658512384

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

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