• 제목/요약/키워드: Nonlinear dynamic model

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비선형 시스템을 위한 퍼지 모델 기반 제어기의 설계 (Design of a Fuzzy-Model-Based Controller for Nonlinear Systems)

  • 주영훈
    • 한국지능시스템학회논문지
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    • 제9권6호
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    • pp.605-614
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    • 1999
  • 본 논문에서는 단일 입력 단일 출력을 갖는 복잡한 비선형 시스템을 위한 퍼지 제어 시스템의 설계 및 분석을 제시한다. 제안된 방법은 주어진 비선형 시스템의 지역적인 동특성을 표현하기 위해 퍼지 모델을 구성하여 이를 바탕으로 제어기를 구성한다. 전체 시스템을 총괄하는 제어기는 각 지역 퍼지 모델에 대한 보상기와 슬라이딩 모드 제어 이론을 사용한 전역 피드포워드 제어기를 사용하여 구성한다. 따라서 제안된 제어기는 퍼지 모델 기반 제어방법과 슬라이딩 모드 제어 방법의 장점을 동시에 취하여 기존의 퍼지 모델 기반 제어기와 달리 공통 리아프노프 행렬을 구하지 않고서 안정성을 증명할 수 있으며 향상된 성능 및 추종 성능을 보인다. 또한 제안된 제어방법은 기존의 퍼지 모델기반 제어 방법과는 달리 원 비선형 시스템에 대한 안정도의 해석이 가능하다. 제안된 방법의 우수성과 유효성을 보이기 위해 두가지 수치 예제를 제공한다.

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Response analysis of soil deposit considering both frequency and strain amplitude dependencies using nonlinear causal hysteretic damping model

  • Nakamura, Naohiro
    • Earthquakes and Structures
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    • 제4권2호
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    • pp.181-202
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    • 2013
  • It is well known that the properties of the soil deposits, especially the damping, depend on both frequency and strain amplitude. Therefore it is important to consider both dependencies to calculate the soil response against earthquakes in order to estimate input motions to buildings. However, it has been difficult to calculate the seismic response of the soil considering both dependencies directly. The author has studied the time domain evaluation of the frequency dependent dynamic stiffness, and proposed a simple hysteretic damping model that satisfies the causality condition. In this paper, this model was applied to nonlinear analyses considering the effects of the strain amplitude dependency of the soil. The basic characteristics of the proposed method were studied using a two layered soil model. The response behavior was compared with the conventional model e.g. the Ramberg-Osgood model and the SHAKE model. The characteristics of the proposed model were studied with regard to the effects of element divisions and the frequency dependency that is a key feature of the model. The efficiency of the model was confirmed by these studies.

Combination resonances in forced vibration of spar-type floating substructure with nonlinear coupled system in heave and pitch motion

  • Choi, Eung-Young;Jeong, Weui-Bong;Cho, Jin-Rae
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제8권3호
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    • pp.252-261
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    • 2016
  • A spar-type floating substructure that is being widely used for offshore wind power generation is vulnerable to resonance in the heave direction because of its small water plane area. For this reason, the stable dynamic response of this floating structure should be ensured by accurately identifying the resonance characteristics. The purpose of this study is to analyze the characteristics of the combination resonance between the excitation frequency of a regular wave and natural frequencies of the floating substructure. First, the nonlinear equations of motion with two degrees of freedom are derived by assuming that the floating substructure is a rigid body, where the heaving motion and pitching motions are coupled. Moreover, to identify the characteristics of the combination resonance, the nonlinear term in the nonlinear equations is approximated up to the second order using the Taylor series expansion. Furthermore, the validity of the approximate model is confirmed through a comparison with the results of a numerical analysis which is made by applying the commercial software ANSYS AQWA to the full model. The result indicates that the combination resonance occurs at the frequencies of ${\omega}{\pm}{\omega}_5$ and $2{\omega}_{n5}$ between the excitation frequency (${\omega}$) of a regular wave and the natural frequency of the pitching motion (${\omega}_{n5}$) of the floating substructure.

Anti-sway and Position 3D Control of the Nonlinear Crane System using Fuzzy Algorithm

  • Lee, Tae-Young;Lee, Sang-Ryong
    • International Journal of Precision Engineering and Manufacturing
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    • 제3권1호
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    • pp.66-75
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    • 2002
  • The crane operation used fur transporting heavy loads causes a swinging motion with the loads due to the crane\`s acceleration and deceleration. This sway causes the suspension ropes to leave their grooves and can cause serious damage. Ideally, the purpose of a crane system is to transport loads to a goal position as soon as possible without any oscillation of the rope. Currently, cranes are generally operated based on expert knowledge alone, accordingly, the development of a satisfactory control method that can efficiently suppress object sway during transport is essential. The dynamic behavior of a crane shows nonlinear characteristics. When the length of the rope is changed, a crane becomes a time-varying system thus the design of an anti-sway controller is very difficult. In this paper, a nonlinear dynamic model is derived for an industrial overhead crane whose girder, trolley, and hoister move simultaneously. Furthermore, a fuzzy logic controller, based on expert experiments during acceleration, constant velocity, deceleration, and stop position periods is proposed to suppress the swing motion and control the position of the crane. Computer simulation is then used to test the performance of the fuzzy controller with the nonlinear crane model.

퍼지 알고리즘을 이용한 비선형 크레인 시스템의 진동방지 및 3차원 위치제어 (Anti-sway and 3D position Control of the Nonlinear Crane System using Fuzzy Algorithm)

  • 이태영;이상룡
    • 한국정밀공학회지
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    • 제16권8호
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    • pp.193-202
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    • 1999
  • Crane operation for transporting heavy loads causes swinging motion at the loads due to crane's acceleration and deceleration. This sway causes the suspension ropes to leave their grooves and leads to possibility of serious damages. So, this swing of the objects is a serious problem and the goal of crane system is transporting to a goal position as soon as possible without the oscillation of the rope. Generally crane is operated by expert's knowledge. Therefore, a satisfactory control method to supress object sway during transport is indispensible. The dynamic behavior of the crane shows nonlinear characteristics. when the length of the rope is changed the crane is time varying system and the design of anti-sway controller is very difficult. In this paper, the nonlinear dynamic model for the industrial overhead crane whose girder, trolley and hoister move simultaneously is derived. and the Fuzzy logic controller based on the expert experiments during acceleration, constant velocity, deceleration and stop position period is proposed to supress the swing motion and control the position of the crane. The performance of the fuzzy controller for the nonlinear crane model is simulated on the personal computer.

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개인용 컴퓨터를 이용한 비선형 제어 시스템의 해석 및 설계에 관한 연구 (A Study on the Analysis and Design of Nonlinear Control Systems using Personal Computer)

  • 남문현;정철
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1987년도 정기총회 및 창립40주년기념 학술대회 학회본부
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    • pp.82-85
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    • 1987
  • The objective of this paper is to develop computer programs to aid in the design and analysis of control systems in which nonlinear characteristics exist. Control systems are dynamic systems, which can be described using various mathematical models. A convenient model for digital computer simulation is the state model in which described using a set of linear and non linear first order differential equations. The digital simulation was performed on a IBM PC/XT personal computer, and the computer language was BASIC. There are four possible configurations from which a user may choose. When running a program, the user is asked to enter the system parameters according to a specified control system configurations are; 1. A control system with a nonlinear element followed by a plant in a feedback configurations(NLSVF1). 2. A control system with a nonlinear device situated between two plants in a feedback configurations(NLSVF2). 3. A control system with a nonlinear element followed by a plant, followed by a the dealy in feedback configurations(TLAG). 4. A motor and load with a backlash nonlinearity between dynamic portions of the motor/load configurations (BACKLASH). The matrix from state equations are integrated using combination the trapezoidal method and fixed point iteration. Several cases which have nonlinearity were implemented on the computer and the results were discussed.

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현가장치의 비선형 설계변수 추정 (Nonlinear Parameter Estimation of Suspension System)

  • 박주표;최연선
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.281-286
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    • 2003
  • A Suspension system of a car is composed of dampers and springs. The dampers and springs usually have nonlinear characteristics. However, the nonlinear characteristics of the springs and dampers through analytical model cannot agree with the experimental results. Therefore, the nonlinearity of the suing and damper should be known from the experimental results. In this study, the methods of system identification for nonlinear dynamic system in time domain are discussed and the nonlinear parameter estimation lot experimental data of an EF-SONATA car was done. The results show that a cubic and a coupled term should be considered to model the suspension system.

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Effect of dynamic absorber on the nonlinear vibration of SFG cylindrical shell

  • Foroutan, Kamran;Ahmadi, Habib
    • Advances in aircraft and spacecraft science
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    • 제7권4호
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    • pp.291-308
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    • 2020
  • In this paper, a numerical method is utilized to study the effect of a new vibration absorber on vibration response of the stiffened functionally graded (SFG) cylindrical shell under a couple of axial and transverse compressions. The material composition of the stiffeners and shell is continuously changed through the thickness. The vibration absorber consists of a mass-spring-damper system which is connected to the ground utilizing a linear local damper. To simplify, the spring element of the vibration absorber is called global potential. The von Kármán strain-displacement kinematic nonlinearity is employed in the constitutive laws of the shell and stiffeners. To consider the stiffeners in the model, the smeared stiffener technique is used. After obtaining the governing equations, the Galerkin method is applied to discretize the nonlinear dynamic equation of system. In order to find the nonlinear vibration responses, the fourth order Runge-Kutta method is utilized. The influence of the stiffeners, the dynamic absorber parameters on the vibration behavior of the SFG cylindrical shell is investigated. Also, the influences of material parameters of the system on the vibration response are examined.

이중효용 흡수식 냉온수기 동특성 모델 개발 및 실험결과 비교 (Development of a Dynamic Model for Double-Effect LiBr-$H_2O$ Absorption Chillers and Comparison with Experimental Data.)

  • 신영기;서정아;조현욱;남상철;정진희
    • 대한설비공학회:학술대회논문집
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    • 대한설비공학회 2008년도 하계학술발표대회 논문집
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    • pp.109-114
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    • 2008
  • A dynamic model has been developed to simulate dynamic operation of a real double-effect absorption chiller. Dynamic behavior of working fluids in main components was modeled in first-order nonlinear differential equations based on heat and mass balances. Mass transport mechanisms among the main components were modeled by valve throttling, 'U' tube overflow and solution sub-cooling. The nonlinear dynamic equations coupled with the subroutines to calculate thermodynamic properties of working fluids were solved by a numerical method. The dynamic performance of the model was compared with the test data of a commercial medium chiller. The model showed a good agreement with the test data except for the first 5,000 seconds during which different flow rates of the weak solution caused some discrepancy. It was found that the chiller dynamics is governed by the inlet temperatures of the cooling water and the chilled water when the heat input to the chiller is relatively constant.

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이중효용 흡수식 냉온수기 동특성 모델 개발 및 실험결과 비교 (Development of a Dynamic Model for Double-Effect LiBr-$H_{2}O$ Absorption Chillers and Comparison with Experimental Data)

  • 신영기;서정아;조현욱;남상철;정진희
    • 설비공학논문집
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    • 제20권12호
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    • pp.781-788
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    • 2008
  • A dynamic model has been developed to simulate dynamic operation of a real double-effect absorption chiller. Dynamic behavior of working fluids in main components was modeled in first-order nonlinear differential equations based on heat and mass balances. Mass transport mechanisms among the main components were modeled by valve throttling, 'U' tube overflow and solution sub-cooling. The nonlinear dynamic equations coupled with the subroutines to calculate thermodynamic properties of working fluids were solved by a numerical method. The dynamic performance of the model was compared with the test data of a commercial medium chiller. The model showed a good agreement with the test data except for the first 5,000 seconds during which different flow rates of the weak solution caused some discrepancy. It was found that the chiller dynamics is governed by the inlet temperatures of the cooling water and the chilled water when the heat input to the chiller is relatively constant.