• Title/Summary/Keyword: fuzzy dynamic equation

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EXISTENCE AND UNIQUENESS THEOREM FOR LINEAR FUZZY DIFFERENTIAL EQUATIONS

  • You, Cuilian;Wang, Gensen
    • East Asian mathematical journal
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    • v.27 no.3
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    • pp.289-297
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    • 2011
  • The introduction of fuzzy differential equation is to deal wit fuzzy dynamic systems. As classical differential equations, it is difficult to find the solutions to all fuzzy differential equations. In this paper an existence and uniqueness theorem for linear fuzzy differential equations is obtained. Moreover, the exact solution to linear fuzzy differential equation is given.

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
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    • 2001.07d
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    • pp.2283-2285
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    • 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.

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Multistage Fuzzy Production Systems Modeling and Approximate Reasoning Based on Fuzzy Petri Nets (다단계 퍼지추론 시스템의 퍼지 페트리네트 모델링과 근사추론)

  • 전명근
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.12
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    • pp.84-94
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    • 1996
  • In this work, a fuzzy petri net model for modeling a general form of fuzzy production system which consists of chaining fuzzy production rules and so requires multistage reasoning process is presented. For the obtained fuzzy petri net model, the net will be transformed into some matrices, and also be systematically led to an algebraic form of a state equation. Since it is fond that the approximate reasoning process in fuzzy systems corresponds to the dynamic behavior of the fuzzy petri net, it is further shown that the multistage reasoning process can be carried out by executing the state equation.

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Design of the fuzzy sliding mode controller with double pole inverted pendulum (두개의 pole을 갖는 도립 진자의 퍼지 슬라이딩 모드 제어기 설계)

  • 강항균;한종길;함운철
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.188-191
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    • 1996
  • In this paper, we derive dynamic equation of double pole inverted pendulum using Lagrangian equation, and design the fuzzy sliding mode controller. We demonstrate that the designed controller regulates double pole simultaneously regardless of cart position by computer simulation.

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Fuzzy control for geometrically nonlinear vibration of piezoelectric flexible plates

  • Xu, Yalan;Chen, Jianjun
    • Structural Engineering and Mechanics
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    • v.43 no.2
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    • pp.163-177
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    • 2012
  • This paper presents a LMI(linear matrix inequality)-based fuzzy approach of modeling and active vibration control of geometrically nonlinear flexible plates with piezoelectric materials as actuators and sensors. The large-amplitude vibration characteristics and dynamic partial differential equation of a piezoelectric flexible rectangular thin plate structure are obtained by using generalized Fourier series and numerical integral. Takagi-Sugeno (T-S) fuzzy model is employed to approximate the nonlinear structural system, which combines the fuzzy inference rule with the local linear state space model. A robust fuzzy dynamic output feedback control law based on the T-S fuzzy model is designed by the parallel distributed compensation (PDC) technique, and stability analysis and disturbance rejection problems are guaranteed by LMI method. The simulation result shows that the fuzzy dynamic output feedback controller based on a two-rule T-S fuzzy model performs well, and the vibration of plate structure with geometrical nonlinearity is suppressed, which is less complex in computation and can be practically implemented.

Dynamic Hysteresis Model Based on Fuzzy Clustering Approach

  • Mourad, Mordjaoui;Bouzid, Boudjema
    • Journal of Electrical Engineering and Technology
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    • v.7 no.6
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    • pp.884-890
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    • 2012
  • Hysteretic behavior model of soft magnetic material usually used in electrical machines and electronic devices is necessary for numerical solution of Maxwell equation. In this study, a new dynamic hysteresis model is presented, based on the nonlinear dynamic system identification from measured data capabilities of fuzzy clustering algorithm. The developed model is based on a Gustafson-Kessel (GK) fuzzy approach used on a normalized gathered data from measured dynamic cycles on a C core transformer made of 0.33mm laminations of cold rolled SiFe. The number of fuzzy rules is optimized by some cluster validity measures like 'partition coefficient' and 'classification entropy'. The clustering results from the GK approach show that it is not only very accurate but also provides its effectiveness and potential for dynamic magnetic hysteresis modeling.

Fuzzy Control of a Simply-Supported Beam under a Moving Mass (이동질량을 받는 단순지지보의 퍼지제어)

  • 공용식;류봉조;이규섭;류두현
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.196-201
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    • 2002
  • This paper deals with the active vibration control of a simply-supported beam under a Moving mass using fuzzy control technique. Governing equation3 for dynamic responses of the beam under a moving mass are derived by Galerkin's mode summation method. Dynamic responses of the beam are obtained by Runge-Kutta integration method, and are compared with experimental results. For the active vibration control of the beam due to moving mass, a controller based on fuzzy logic was designed. The numerical predictions for dynamic deflections of the beam have a good agreement with the experimental results well. As for the fuzzy control of the tested beam, more than 50% reductions of dynamic deflection and residual vibrations under a moving mass are demonstrated.

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Fuzzy Model-Based Fault Detection Method of EPB System for Varying Temperature (온도변화에 강인한 EPB 시스템의 퍼지모델 기반 고장검출 방법)

  • Moon, Byoung-Joon;Kim, Dong-Han;Park, Chong-Kug
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.10
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    • pp.1009-1013
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    • 2009
  • In this paper, a robust fault detection method for varying temperature based on fuzzy model is proposed. To develop a robust force estimation model, it needs temperature information because the output of force sensor is affected by a temperature variation. The nonlinear dynamic system, such as the parking force of the EPB (Electronic Parking Brake) system is necessary to have a higher order equation model. But, because of the calculation time, the higher order equation model is hard to be used in real application. In case of the lower order equation model, the result is not as accurate as acceptable. To solve this problem, the robust fuzzy model-based fault detection is developed. A proposed fault detection method for varying temperature is verified by HILS (hardware in the loop simulation).

Neuro-Fuzzy Modeling Approach for Hybrid Base Isolaton System (하이브리드 면진장치의 뉴로-퍼지 모형화)

  • Kim Hyun-Su;Roschke P. N.;Lee Dong-Guen
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2005.04a
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    • pp.201-208
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    • 2005
  • Neuro-Fuzzy modeling approach is proposed to predict the dynamic behavior of a single-degree-of-freedom structure that is equipped with hybrid base isolation system. Hybrid base isolation system consists of friction pendulum systems (FPS) and a magnetorheological (MR) damper. Fuzzy model of the M damper is trained by ANFIS using various displacement, velocity, and voltage combinations that are obtained from a series of performance tests. Modelling of the FPS is carried out with a nonlinear analytical equation that is derived in this study and neuro-fuzzy training. Fuzzy logic controller is employed to control the command voltage that is sent to MR damper. The dynamic responses or experimental structure subjected to various earthquake excitations are compared with numerically simulated results using neuro-fuzzy modeling method. Numerical simulation using neuro-fuzzy models of the MR damper and FPS predict response of the hybrid base isolation system very well.

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