• Title/Summary/Keyword: ${\alpha}$-cut decomposition

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A Calculation Method for fuzzy Control by $\alpha$-cut Decomposition and Its Hardware Implementation (\alpha$-레벨집합 분해에 의한 퍼지제어 추론계산법과 하드웨어에 관한 연구)

  • 홍순일;이요섭;장용민
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2001.06a
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    • pp.133-136
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    • 2001
  • In this paper, we propose a calculation method for fuzzy control based on quantized $\alpha$ -cut decomposition of fuzzy sets. This method is easy to be implemented in analog hardware. The effect of quantization levels on defuzzified fuzzy inference result is investigated. A few quantization levels are sufficient for fuzzy control. The hardware implementation of this calculation method and the defuzzificaion by gravity center method by PWM are also presented.

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Implemented Circuits of Fuzzy Inference Engine for Servo Control by using Decomposition of $\alpha$-Level Set ($\alpha$-레벨 집합 분해에 의한 서보제어용 퍼지추론 연산회로 구현)

  • Hong Jeng-pyo;Hong Soon-ill
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.2
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    • pp.90-96
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    • 2005
  • This paper presents hardware scheme of fuzzy inference engine, based on α-level set decomposition of fuzzy sets for fuzzy control of DC servo system. We propose a method which is directly converted to PWM actuating signal by a one body of fuzzy inference and defuzzification. The influence of quantity α-levels on input/output characteristics of fuzzy controller and output response of DC servo system is investigated. It is concluded that quantity α-cut 4 give a sufficient result for fuzzy control performance of DC servo system. The experimental results shows that the proposed hardware method is effective for practical applications of DC servo system.

A Fuzzy Resoning for Servo System by $\alpha$-Level Set Decomposition and Hardware Implementation ($\alpha$-레벨집합 분해에 의한 서보시스템용 퍼지추론과 하드웨어)

  • 안영주
    • Proceedings of the KIPE Conference
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    • 2000.07a
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    • pp.38-40
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    • 2000
  • In this paper we propose a calculation method for fuzzy control based on quantized $\alpha$-cut decomposition of fuzzy sets. This method is easy to be implemented in analog hardware. The effect of quantization levels on defuzzified fuzzy inference results is investigated. A few quantization levels are sufficient for fuzzy control. The hardware implementation of this calculation method and the defuzzification by gravity center method by PWM are also presented.

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The development of fuzzy reasoning tool for the support design of servo system (서보 제어계 설계지원을 위한 퍼지추론 TOOL의 개발)

  • 노창주;홍순일
    • Journal of Advanced Marine Engineering and Technology
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    • v.19 no.4
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    • pp.72-78
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    • 1995
  • The diffusion of fuzzy logic techniques into real applications requires specific software supports which save development time and reduce the programming effort. But we has been lack of a tool devoted to support the design of fuzzy controllers. In this paper, on the basis of the general fuzzy set and .alpha.-cut set decomposition of fuzzy sets, a set of fuzzy reasoning tool(FRT) devoted to support the design of fuzzy dontroller for servo systems is developed. The major features of this tool are: 1) It supports users to analyze fuzzy ingerence status based on input deta and expected results by three-D graphic display. 2) It supports users to prepare input data and expected result. 3) It supports users to tuned scaling factor of membership functions, rules and fuzzy inference. The paper shows how the suggested design tools are suitable to give a consistent answer to the tuning of fuzzy control system. This FRT is expected to exert good performance and devoted to support which the design of fuzzy controller is illustrated in the servo systems.

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Implementation of Hardware Circuits for Fuzzy Controller Using $\alpha$-Cut Decomposition of fuzzy set

  • Lee, Yo-Seob;Hong, Soon-Ill
    • Journal of Advanced Marine Engineering and Technology
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    • v.28 no.2
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    • pp.200-209
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    • 2004
  • The fuzzy control based on $\alpha$-level fuzzy set decomposition. It is known to produce quick response and calculating time of fuzzy inference. This paper derived the embodiment computational algorithm for defuzzification by min-max fuzzy inference and the center of gravity method based on $\alpha$-level fuzzy set decomposition. It is easy to realize the fuzzy controller hardware. based on the calculation formula. In addition. this study proposed a circuit that generates PWM actual signals ranging from fuzzy inference to defuzzification. The fuzzy controller was implemented with mixed analog-digital logic circuit using the computational fuzzy inference algorithm by min-min-max and defuzzification by the center of gravity method. This study confirmed that the fuzzy controller worked satisfactorily when it was applied to the position control of a dc servo system.

Implemented Logic Circuits of Fuzzy Inference Engine for DC Servo Control Using decomposition of $\alpha$-level fuzzy set ($\alpha$-레벨 퍼지집합 분해에 의한 직류 서보제어용 퍼지추론 연산회로 구현)

  • 이요섭;손의식;홍순일
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.8 no.5
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    • pp.1050-1057
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    • 2004
  • The purpose of study is development of a fuzzy controller which independent of a computer and its software for fuzzy control of servo system. This paper describes a method of approximate reasoning for fuzzy control of servo system, based on decomposition of $\alpha$-level fuzzy sets, It is propose that fuzzy logic algorithm is a body from fuzzy inference to defuzzificaion in cases where the output variable u directly is generated PWM. The effectiveness of quantified $\alpha$-levels on input/output characteristics of fuzzy controller and output response of DC servo system is investigated. It is concluded that $\alpha$-cut 4 levels give a sufficient result for fuzzy control performance of DC servo system. The experimental results shows that the proposed hardware method is effective for practical applications of DC servo system.