• 제목/요약/키워드: fuzzy differential systems

검색결과 97건 처리시간 0.024초

IFS DECISION MAKING PROCESSES TO DIFFERENTIAL DIAGNOSIS OF HEADACHE

  • Kim, Soon-Ki
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.264-267
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    • 1998
  • We are dealing with the preliminary diagnosis from the information of headache interview chart. We quantify the qualitative information based on the interview chart by dual scaling. Prototype of fuzzy diagnostic sets and the neural linear regression methods are established with these quantified data, These new methods can be used to classify new patient's tone of diseases with certain degrees of belief and its concerned symptoms. We call these procedures as neural Fuzzy Differential Diagnosis of Headache (NFDDH-1). Also we investigate three measures to medical diagnosis, where relations between symptoms and diseases are described by intutionistic fuzzy set (IFS) data. Two measures are described by nin-max and max-min IFS operators, respectively. Another measure is the similarity degree, i.e., IFS distance between patient's symptoms and prototypes of diseases. We consider some reasonable criteria for three measures in order to determine the label of headache, We will establish hree measures in NFDDH-2 and combine two packages as NFDDH

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IMPULSIVE FUZZY SOLUTIONS FOR ABSTRACT SECOND ORDER PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

  • CHALISHAJAR, DIMPLEKUMAR N.;RAMESH, R.
    • Journal of Applied and Pure Mathematics
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    • 제4권1_2호
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    • pp.71-77
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    • 2022
  • This work considers the existence and uniqueness of fuzzy solutions for impulsive abstract partial neutral functional differential systems. To establish the existence and uniqueness, we apply the concept of impulse, semi group theory and suitable fixed point theorem.

차분 진화 알고리즘을 이용한 Fuzzy Prototype Classifier 최적화 (The Optimization of Fuzzy Prototype Classifier by using Differential Evolutionary Algorithm)

  • 안태천;노석범;김용수
    • 한국지능시스템학회논문지
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    • 제24권2호
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    • pp.161-165
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    • 2014
  • 본 논문에서는 입력 공간의 부분 영역의 특성을 기술하기 위하여 각 부분 영역을 대표하는 prototype을 정의하고 정의된 Prototype 에 가중치를 적용하여 각 부분 영역이 각 클래스의 경계면에 미치는 영향을 차등화 하는 Fuzzy Prototype 분류기를 제안 한다. 제안된 패턴 분류기의 Prototype은 퍼지 클러스터링 알고리즘인 Fuzzy C-Means Clustering 알고리즘을 사용하여 결정한다. 또한, 각 부분 영역의 가중치를 결정하기 위하여 유전자 알고리즘에서 파생된 차분 진화 알고리즘을 적용하여 각각의 퍼지 규칙의 가중치를 최적화 한다. 또한 퍼지 규칙 기반 시스템 기반 패턴 분류기의 경우 각각의 퍼지 규칙의 후반부 구조인 다항식의 계수를 추정하기 위하여 Linear Discriminant Analysis를 사용한다. 마지막으로, 본 논문에서 제안한 패턴 분류기의 패턴 분류 특성 및 성능을 평가하기위하여 기계 학습 데이터를 사용한다.

비선형 미분방정식의 TSK 퍼지 모델 유도에 관하여 (On the Derivation of TSK Fuzzy Model for Nonlinear Differentical Equations)

  • 이상민;조중선
    • 한국지능시스템학회논문지
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    • 제11권8호
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    • pp.720-725
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    • 2001
  • 비선형 미분방정식으로부터 TSK(Takagi-Sugeno-Kang) 퍼지모델을 유도한느 것은 퍼지 제어의 이론분야에서는 매우 중요한 문제이다. 본 논문에서는 off-equilibrium에서 상수항을 가지는 부분 미분 방정식을 배제시키는 방법을 제안한다. 이는 전건부의 언어적 표현이 삼각형 소속함수들을 가지는 기본적인 TSK 퍼지모델에서 체계적으로 유도되어진다. 그리고, 유도된 TSK 퍼지모델의 전건부 소속함수들은 GA(Genetic Algorithm)를 이용하여 최적화함으로써 실제 미분방적식에 근사화한다. 아울러 이상의 제안된 방법의 우수성을 모의실험을 통하여 검증한다.

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Robust Stabilization of Uncertain Nonlinear Systems via Fuzzy Modeling and Numerical Optimization Programming

  • Lee Jongbae;Park Chang-Woo;Sung Ha-Gyeong;Lim Joonhong
    • International Journal of Control, Automation, and Systems
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    • 제3권2호
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    • pp.225-235
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    • 2005
  • This paper presents the robust stability analysis and design methodology of the fuzzy feedback linearization control systems. Uncertainty and disturbances with known bounds are assumed to be included in the Takagi-Sugeno (TS) fuzzy models representing the nonlinear plants. $L_2$ robust stability of the closed system is analyzed by casting the systems into the diagonal norm bounded linear differential inclusions (DNLDI) formulation. Based on the linear matrix inequality (LMI) optimization programming, a numerical method for finding the maximum stable ranges of the fuzzy feedback linearization control gains is also proposed. To verify the effectiveness of the proposed scheme, the robust stability analysis and control design examples are given.

Graphic Representation of Solutions of Partial Differential Equations Using their Corresponding Fuzzy Systems

  • 문병수
    • 한국전산응용수학회:학술대회논문집
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    • 한국전산응용수학회 2003년도 KSCAM 학술발표회 프로그램 및 초록집
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    • pp.4.2-4
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    • 2003
  • In this paper, we describe how to approximate the solutions of partial differential equations by bicubic spline functions whose interpolation errors at non-grid points are smaller in general than those by linear interpolations of the original solution at grid points. We show that the bicubic spline function can be represented exactly or approximately by a fuzzy system, and that the resulting fuzzy rule table shows the contours of the solution function. Thus, the fuzzy rule table is identified as a digital image and the contours in the rule table provide approximate contours of the solution of partial differential equations. Several illustrative examples are included.

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퍼지 위험지수에 의한 이동로봇의 물체 추적 및 장애물 회피 주행 제어기 (A Simultaneous Object Tracking and Obstacles Avoidance Controller with Fuzzy Danger Factor of Mobile Robot)

  • 강재구;이중재;지민석;유범재
    • 로봇학회논문지
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    • 제2권3호
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    • pp.212-220
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    • 2007
  • This paper proposes a method of avoiding obstacles and tracking a moving object continuously and simultaneously by using new concepts of virtual tow point and fuzzy danger factor for differential wheeled mobile robots. Since differential wheeled mobile robot has smaller degree of freedom to control and are non-holonomic systems, there exist multiple solutions (trajectories) to control and reach a target position. The paper proposes 'fuzzy danger factor' for obstacles avoidance, 'virtual tow point' to solve non-holonomic object tracking control problem for unique solution and three kinds of fuzzy logic controller. The fuzzy logic controller is policy decision controller with fuzzy danger factor to decide which controller's result is more valuable when the mobile robot is tracking a moving object with obstacles to be avoided.

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A fuzzy Sliding Mode Control of Wheeled Mobile Robot with a Differential Drive

  • Kang, Young-Hoon;Lee, Ju-Jang
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1998년도 제13차 학술회의논문집
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    • pp.265-270
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    • 1998
  • In this paper we introduce a modeling of wheeled mobile robot with a differential drive derived by R.M. DeSantis and using the dynamics model-ing with some disturbance term we control the wheeled mobile robot using fuzzy sliding mode control(FSMC) method. In a fuzzy control approach it is very difficult to prove the stability of the fuzzy controller. Therefore, to overcome that difficult proof of the stability in a fuzzy control method, we first propose a sliding mode controller and prove the stability of the proposed controller. Next, transforming the proposed sliding mode controller into a fuzzy sliding mode controller without changing the basic structure of the sliding mode con-troller, we easily obtain a fuzzy sliding mode con-troller(FSMC) whose stability is guaranteed with-out difficult stability proof procedure of the proposed FSMC.

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Fuzzy Modeling and Control of Wheeled Mobile Robot

  • Kang, Jin-Shik
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2003년도 ISIS 2003
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    • pp.587-590
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    • 2003
  • In this paper, the control of the differential drive wheeled mobile robot (DDWMR) is studied. Because the DDWMR have non-holonomic constraints, it cannot be stabilized by smooth feedback. The T-S fuzzy model for the DDWMR is presented and a control algorithm Is developed by well known PID control and LMI based regional pole-placement.

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