• Title/Summary/Keyword: fuzzy membership function

Search Result 689, Processing Time 0.022 seconds

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

  • 이상민;조중선
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.11 no.8
    • /
    • pp.720-725
    • /
    • 2001
  • Derivation of TSK fuzzy model from nonlinear differential equation is fundamental issue in the field of theoretical fuzzy control. The method which does not yield affine local differential equations at off-equilibrium points is proposed in this paper. A prototype TSK fuzzy model which has triangular membership functions for linguistic terms of the antecedent part is derived systematically. And then GA is used to modify the membership functions optimally. Simulation results show the validity of the proposed method.

  • PDF

A Multiple Threshold Selection Algorithm Based on Maximum Fuzzy Entropy for the Final Inspection of Flip Chip BGA (플립 칩 BGA 최종 검사를 위한 최대퍼지엔트로피 기반의 다중임계값 선정 알고리즘)

  • 김경범
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.21 no.4
    • /
    • pp.202-209
    • /
    • 2004
  • Quality control is essential to the final product in BGA-type PCB fabrication. So, many automatic vision systems have been developed to achieve speedy, low cost and high quality inspection. A multiple threshold selection algorithm is a very important technique for machine vision based inspection. In this paper, an inspected image is modeled by using fuzzy sets and then the parameters of specified membership functions are estimated to be in maximum fuzzy entropy with the probability of the fuzzy sets, using the exhausted search method. Fuzzy c-partitions with the estimated parameters are automatically generated, and then multiple thresholds are selected as the crossover points of the fuzzy sets that form the estimated fuzzy partitions. Several experiments related to flip chip BGA images show that the proposed algorithm outperforms previous ones using both entropy and variance, and also can be successfully applied to AVI systems.

A Study on the Neuro-Fuzzy Control for an Inverted Pendulum System (도립진자 시스템의 뉴로-퍼지 제어에 관한 연구)

  • 소명옥;류길수
    • Journal of Advanced Marine Engineering and Technology
    • /
    • v.20 no.4
    • /
    • pp.11-19
    • /
    • 1996
  • Recently, fuzzy and neural network techniques have been successfully applied to control of complex and ill-defined system in a wide variety of areas, such as robot, water purification, automatic train operation system and automatic container crane operation system, etc. In this paper, we present a neuro-fuzzy controller which unifies both fuzzy logic and multi-layered feedforward neural networks. Fuzzy logic provides a means for converting linguistic control knowledge into control actions. On the other hand, feedforward neural networks provide salient features, such as learning and parallelism. In the proposed neuro-fuzzy controller, the parameters of membership functions in the antecedent part of fuzzy inference rules are identified by using the error backpropagation algorithm as a learning rule, while the coefficients of the linear combination of input variables in the consequent part are determined by using the least square estimation method. Finally, the effectiveness of the proposed controller is verified through computer simulation of an inverted pendulum system.

  • PDF

A Study on Design of Neuro- Fuzzy Controller for Attitude Control of Helicopter (헬리콥터 자세제어를 위한 뉴로 퍼지 제어기의 설계에 관한 연구)

  • Choi, Yong-Sun;Lim, Tae-Woo;Jang, Gung-Won;Ahn, Tae-Chon
    • Proceedings of the KIEE Conference
    • /
    • 2001.07d
    • /
    • pp.2283-2285
    • /
    • 2001
  • This paper proposed to a neural network based fuzzy control (neuro-fuzzy control) technique for attitude control of helicopter with strongly dynamic nonlinearities and derived a helicopter aerodynamic torque equation of helicopter and the force balance equation. A neuro-fuzzy system is a feedforward network that employs a back-propagation algorithm for learning purpose. A neuro-fuzzy system is used to identify nonlinear dynamic systems. Hence, this paper presents methods for the design of a neural network(NN) based fuzzy controller(that is, neuro-fuzzy control) for a helicopter of nonlinear MIMO systems. The proposed neuro-fuzzy control determined to a input-output membership function in fuzzy control and neural networks constructed to improve through learning of input-output membership functions determined in fuzzy control.

  • PDF

Function Approximation for accelerating learning speed in Reinforcement Learning (강화학습의 학습 가속을 위한 함수 근사 방법)

  • Lee, Young-Ah;Chung, Tae-Choong
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.13 no.6
    • /
    • pp.635-642
    • /
    • 2003
  • Reinforcement learning got successful results in a lot of applications such as control and scheduling. Various function approximation methods have been studied in order to improve the learning speed and to solve the shortage of storage in the standard reinforcement learning algorithm of Q-Learning. Most function approximation methods remove some special quality of reinforcement learning and need prior knowledge and preprocessing. Fuzzy Q-Learning needs preprocessing to define fuzzy variables and Local Weighted Regression uses training examples. In this paper, we propose a function approximation method, Fuzzy Q-Map that is based on on-line fuzzy clustering. Fuzzy Q-Map classifies a query state and predicts a suitable action according to the membership degree. We applied the Fuzzy Q-Map, CMAC and LWR to the mountain car problem. Fuzzy Q-Map reached the optimal prediction rate faster than CMAC and the lower prediction rate was seen than LWR that uses training example.

Relaxed Stability Condition for Affine Fuzzy System Using Fuzzy Lyapunov Function (퍼지 리아푸노프 함수를 이용한 어파인 퍼지 시스템의 완화된 안정도 조건)

  • Kim, Dae-Young;Park, Jin-Bae;Joo, Young-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.61 no.10
    • /
    • pp.1508-1512
    • /
    • 2012
  • This paper presents a relaxed stability condition for continuous-time affine fuzzy system using fuzzy Lyapunov function. In the previous studies, stability conditions for the affine fuzzy system based on quadratic Lyapunov function have a conservativeness. The stability condition is considered by using the fuzzy Lyapunov function, which has membership functions in the traditional Lyapunov function. Based on Lyapunov-stability theory, the stability condition for affine fuzzy system is derived and represented to linear matrix inequalities(LMIs). And slack matrix is added to stability condition for the relaxed stability condition. Finally, simulation example is given to illustrate the merits of the proposed method.

Performance Improvement of Distributed FLC by Nonuniform Membership Functions (비균일 멤버쉽 함수를 이용한 분산 퍼지제어 성능 향상)

  • 박희경;공성곤
    • Proceedings of the Korean Institute of Intelligent Systems Conference
    • /
    • 1997.10a
    • /
    • pp.37-40
    • /
    • 1997
  • This paper presents a performance improvement of distributed fuzzy control system by changing the triangular membership function widths according to the input variables. The control region consists of 4 parts according to the sign of error and change of error terms. Each control part is operated by the suitable nonuniform triangular membership function. Through the simulation for the boiler-turbin model of a fossil power plant using decentralized contol, it is verified this proposal

  • PDF

A Study on the Fuzzy Maximal Flow using Interger (정수를 이용한 퍼지최대흐름에 관한 연구)

  • 신재환;김창은;심종칠
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.17 no.32
    • /
    • pp.7-16
    • /
    • 1994
  • In the existing deterministic network, the capacity of each arc has determined property. But actually, it may be a property which cannot be determined. Even though it should be determining, it contains many errors. In treating these kinds of problems, fuzzy theory is suitable. Recently, due to development the study on complicated and indefinited systems which contain fuzziness could be possible. This paper includes that the capacity of each arc and the goal quantity with nonnegative integer have the fuzziness. The object is to search the new mathod of fuzzy maximal flow quantity. If the degree of arc membership function of the minimal cut part is not larger than that of arc membership function of the part except the minimal cut, first calcurate nonfuzzy maximal flow quantity, and then can compute the optimal quantity the 3rd step at one time with Max-Min fuzzy operating in the arc capacity of minimal cut and the goal quantity without a great number of recalculation.

  • PDF

MULTI-OBJECTIVES FUZZY MODELS FOR DESIGNING 3D TRAJECTORY IN HORIZONTAL WELLS

  • Qian, Weiyi;Feng, Enmin
    • Journal of applied mathematics & informatics
    • /
    • v.15 no.1_2
    • /
    • pp.265-275
    • /
    • 2004
  • In this paper, multi-objective models for designing 3D trajectory of horizontal wells are developed in a fuzzy environment. Here, the objectives of minimizing the length of the trajectory and the error of entry target point are fuzzy in nature. Some parameters, such as initial value, end value, lower bound and upper bound of the curvature radius, tool-face angle and the arc length of each curve section, are also assumed to be vague and imprecise. The impreciseness in the above objectives have been expressed by fuzzy linear membership functions and that in the above parameters by triangular fuzzy numbers. Models have been solved by the fuzzy non-linear programming method based on Zimmermann [1] and Lee and Li [2]. Models are applied to practical design of the horizontal wells. Numerical results illustrate the accuracy and efficiency of the fuzzy models.

A Study on the Neuro-Fuzzy Control and Its Application

  • So, Myung-Ok;Yoo, Heui-Han;Jin, Sun-Ho
    • Journal of Advanced Marine Engineering and Technology
    • /
    • v.28 no.2
    • /
    • pp.228-236
    • /
    • 2004
  • In this paper. we present a neuro-fuzzy controller which unifies both fuzzy logic and multi-layered feed forward neural networks. Fuzzy logic provides a means for converting linguistic control knowledge into control actions. On the other hand. feed forward neural networks provide salient features. such as learning and parallelism. In the proposed neuro-fuzzy controller. the parameters of membership functions in the antecedent part of fuzzy inference rules are identified by using the error back propagation algorithm as a learning rule. while the coefficients of the linear combination of input variables in the consequent part are determined by using the least square estimation method. Finally. the effectiveness of the proposed controller is verified through computer simulation for an inverted pole system.