• Title/Summary/Keyword: Nonlinear function

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Nonlinear Controller Design by Hybrid Identification of Fuzzy-Neural Network and Neural Network (퍼지-신경회로망과 신경회로망의 혼합동정에 의한 비선형 제어기 설계)

  • 이용구;손동설;엄기환
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.11
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    • pp.127-139
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    • 1996
  • In this paper we propose a new controller design method using hybrid fuzzy-neural netowrk and neural network identification in order ot control systems which are more and more getting nonlinearity. Proposed method performs, for a nonlinear plant with unknown functions, hybird identification using a fuzzy-neural network and a neural network, and then a stable nonlinear controller is designed with those identified informations. To identify a nonlinear function, which is directly related to input signals, we can use a neural network which is satisfied with the proposed stable condition. To identify a nonlinear function, which is not directly related to input signals, we can use a fuzzy-neural network which has excellent identification characteristics. In order to verify excellent control performances of the proposed method, we compare the porposed control method with a conventional neural network control method through simulations and experiments with one link manipulator.

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Stability Analysis of Nonlinear Pulse-Modulated System Subject to Gaussian Noise (가우스 잡음을 고려한 비선형 펄스 변조 시스템의 안정도 분석)

  • 강영채
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.19 no.6
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    • pp.67-79
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    • 1982
  • The stability of general pulse-width modulation system with Gaussian random disturbance was discussed . General system is divided into nonlinear and linear elements using the conventional describing function method. The concept of the equivalent admittance was used to find the transfer characteristic of the nonlinear element of the system. In this paper the self-sustained oscillation condition in the autonomous system was derived and the results was analyzed with computer simulation.

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Simulation of Turbulent Flow in a Square Duct with Nonlinear k-$\varepsilon$ Models (비선형 k-$\varepsilon$ 난류모델에 따른 정사각형 덕트내 난류유동 수치해석(8권1호 게재논문중 그림정정))

  • Myong Hyon Kook
    • Journal of computational fluids engineering
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    • v.8 no.2
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    • pp.57-63
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    • 2003
  • Two nonlinear κ-ε models with the wall function method are applied to the fully developed turbulent flow in a square duct. Typical predicted quantities such as axial and secondary velocities, turbulent kinetic energy and Reynolds stresses are compared in details both qualitatively and quantitatively with each other. A nonlinear κ-ε model with the wall function method capable of predicting accurately duct flows involving turbulence-driven secondary motion is presented in the present paper. The nonlinear κ-ε model of Shih et al.[1] adopted in a commercial code is found to be unable to predict accurately duct flows with the prediction level of secondary flows one order less than that of the experiment.

Trajectory Planning of Satellite Formation Flying using Nonlinear Programming and Collocation

  • Lim, Hyung-Chu;Bang, Hyo-Choong
    • Journal of Astronomy and Space Sciences
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    • v.25 no.4
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    • pp.361-374
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    • 2008
  • Recently, satellite formation flying has been a topic of significant research interest in aerospace society because it provides potential benefits compared to a large spacecraft. Some techniques have been proposed to design optimal formation trajectories minimizing fuel consumption in the process of formation configuration or reconfiguration. In this study, a method is introduced to build fuel-optimal trajectories minimizing a cost function that combines the total fuel consumption of all satellites and assignment of fuel consumption rate for each satellite. This approach is based on collocation and nonlinear programming to solve constraints for collision avoidance and the final configuration. New constraints of nonlinear equality or inequality are derived for final configuration, and nonlinear inequality constraints are established for collision avoidance. The final configuration constraints are that three or more satellites should form a projected circular orbit and make an equilateral polygon in the horizontal plane. Example scenarios, including these constraints and the cost function, are simulated by the method to generate optimal trajectories for the formation configuration and reconfiguration of multiple satellites.

A Study on the Analysis and Optimal Control of Nonlinear Systems via Walsh Function (월쉬함수에 의한 비선형계의 해석 및 최적제어에 관한 연구)

  • Kim, Jin-Tae;Kim, Tae-Hun;Lee, Myeong-Gyu;An, Du-Su
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.7
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    • pp.354-362
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    • 2000
  • This paper presents the new adaptive optimal scheme for the nonlinear systems, which is based on the Picard's iterative approximation and fast Walsh transform. It is well known that the Walsh function approach method is very difficult to apply for the analysis and optimal control of nonlinear systems. However, these problems can be easily solved by the improvement of the previous adaptive optimal scheme. The proposed method is easily applicable to the analysis and optimal control of nonlinear systems.

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Prediction of Turbulent Flow in a Square Duct with Nonlinear ${\kappa}-{\epsilon}$ Models (비선형 ${\kappa}-{\epsilon}$ 난류모델에 따른 정사각형 덕트내 난류유동 예측)

  • Myong, Hyon-Kook
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.1980-1985
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    • 2003
  • Two nonlinear ${\kappa}-{\epsilon}$ models with the wall function method are applied to the fully developed turbulent flow in a square duct. Typical predicted quantities such as axial and secondary velocities, turbulent kinetic energy and Reynolds stresses are compared in details both qualitatively and quantitatively with each other. A nonlinear ${\kappa}-{\epsilon}$ model with the wall function method capable of predicting accurately duct flows involving turbulence-driven secondary motion is presented in the present paper. The nonlinear ${\kappa}-{\epsilon}$ model adopted in a commercial code is found to be unable to predict accurately duct flows with the prediction level of secondary flows one order less than that of the experiment.

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ADAPTIVEK FUZZY CONTROL BASED ON SPEED GRADIENT ALGORITHM

  • Jeoung, Sacheul;Yoo, Byungkook;Ham, Woonchul
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.178-182
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    • 1995
  • In this paper, the fuzzy approximator and nonlinear inversion control scheme are considered. An adaptive nonlinear control is proposed based on the speed gradient algorithms proposed by Fradkov. This proposed control scheme is that three types of adaptive law is utilized to approximate the unknown function f by fuzzy logic system in designing the nonlinear inversion controller for the nonlinear system. In order to reduce the approximation errors, the differences of nonlinear function and fuzzy approximator, another three types of adaptive law is also introduced and the stability of proposed control scheme are proven with SG algorithm.

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Nonlinear frequency Response Analysis of Hydrodynamic Journal Bearing Under External Disturbance (외란을 받는 저널 베어링의 비선형 주파수 응답 해석)

  • 노병후;김경웅
    • Tribology and Lubricants
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    • v.15 no.1
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    • pp.68-76
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    • 1999
  • This paper presents the nonlinear characteristics of the oil lubricated hydrodynamic journal bearing. The traditional approach is to characterize the behavior and performance of fluid film hydrodynamic journal bearings by means of linearized bearing analysis. The objective of this paper is to examine the nonlinear characteristics of the journal bearing when an external sinusoidal shock is given to the system. The oil film force is obtained by solving the finite width Reynolds equation at each time step by the solution of the column method. Frequency response function and journal orbit obtained from both linear and nonlinear bearing simulations are compared with each other.

An Adaptive Fuzzy Control System for the Speed Control of the Autonomous Surface Vehicle with Nonaffine Nonlinear Dynamics (비-어파인 비선형 동특성을 갖는 무인 자율 이동 보트의 속도 제어를 위한 적응 퍼지 제어 계통)

  • Park, Young-Hwan;Lee, Jae-Kyung
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.1
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    • pp.1-6
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    • 2012
  • In this paper, an adaptive fuzzy control system is proposed for the speed control of the ASV (Autonomous Surface Vehicle) with nonaffine nonlinear system dynamics. We consider the turning speed of the screw propeller to be the control input instead of thrust so that we do not have to know the exact function between turning speed and thrust. But in this case, the ASV becomes a nonaffine nonlinear system because thrust is a nonlinear function of the turning speed. To solve this problem, we propose a Takagi-Sugeno fuzzy-model-based control system and simulation studies are performed. Simulation results show the effectiveness of the proposed control scheme.

Simulation of Turbulent Flow in a Square Duct with Nonlinear k-$\varepsilon$ Models (비선형 k-$\varepsilon$ 난류모델에 따른 정사각형 덕트내 난류유동 수치해석)

  • Myong Hyon Kook
    • Journal of computational fluids engineering
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    • v.8 no.1
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    • pp.23-29
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    • 2003
  • Two nonlinear κ-ε models with the wall function method are applied to the fully developed turbulent flow in a square duct. Typical predicted quantities such as axial and secondary velocities, turbulent kinetic energy and Reynolds stresses are compared in details both qualitatively and quantitatively with each other. A nonlinear κ-ε model with the wall function method capable of predicting accurately duct flows involving turbulence-driven secondary motion is presented in the present paper. The nonlinear κ-ε model of Shih et al.[1] adopted in a commercial code is found to be unable to predict accurately duct flows with the prediction level of secondary flows one order less than that of the experiment.