• 제목/요약/키워드: nonlinear system modeling

검색결과 720건 처리시간 0.027초

A study of birefringence, residual stress and final shrinkage for precision injection molded parts

  • Yang, Sang-Sik;Kwon, Tai-Hun
    • Korea-Australia Rheology Journal
    • /
    • 제19권4호
    • /
    • pp.191-199
    • /
    • 2007
  • Precision injection molding process is of great importance since precision optical products such as CD, DVD and various lens are manufactured by those process. In such products, birefringence affects the optical performance while residual stress that determines the geometric precision level. Therefore, it is needed to study residual stress and birefringence that affect deformation and optical quality, respectively in precision optical product. In the present study, we tried to predict residual stress, final shrinkage and birefringence in injection molded parts in a systematic way, and compared numerical results with the corresponding experimental data. Residual stress and birefringence can be divided into two parts, namely flow induced and thermally induced portions. Flow induced birefringence is dominant during the flow, whereas thermally induced stress is much higher than flow induced one when amorphous polymer undergoes rapid cooling across the glass transition region. A numerical system that is able to predict birefringence, residual stress and final shrinkage in injection molding process has been developed using hybrid finite element-difference method for a general three dimensional thin part geometry. The present modeling attempts to integrate the analysis of the entire process consistently by assuming polymeric materials as nonlinear viscoelastic fluids above a no-flow temperature and as linear viscoelastic solids below the no-flow temperature, while calculating residual stress, shrinkage and birefringence accordingly. Thus, for flow induced ones, the Leonov model and stress-optical law are adopted, while the linear viscoelastic model, photoviscoelastic model and free volume theory taking into account the density relaxation phenomena are employed to predict thermally induced ones. Special cares are taken of the modeling of the lateral boundary condition which can consider product geometry, histories of pressure and residual stress. Deformations at and after ejection have been considered using thin shell viscoelastic finite element method. There were good correspondences between numerical results and experimental data if final shrinkage, residual stress and birefringence were compared.

승용디젤엔진의 EGR, VGT 시스템을 위한 비선형 정적 모델 기반 피드포워드 제어 알고리즘 설계 (Nonlinear Static Model-based Feedforward Control Algorithm for the EGR and VGT Systems of Passenger Car Diesel Engines)

  • 박인석;박영섭;홍승우;정재성;손정원;선우명호
    • 한국자동차공학회논문집
    • /
    • 제21권6호
    • /
    • pp.135-146
    • /
    • 2013
  • This paper presents a feedforward control algorithm for the EGR and VGT systems of passenger car diesel engines. The air-to-fuel ratio and boost pressure are selected as control indicators and the positions of EGR valve and VGT vane are used as control inputs of the EGR and VGT controller. In order to compensate the non-linearity and coupled dynamics of the EGR and VGT systems, we have proposed a non-linear model-based feedforward control algorithm which is obtained from static model inversion approach. It is observed that the average modeling errors of the feedforward algorithm is about 2% using stationary engine experiment data of 225 operating conditions. Using a feedback controller including proportional-integral, the modeling error is compensated. Furthermore, it is validated that the proposed feedforward algorithm generates physically acceptable trajectories of the actuator and successfully tracks the desired values through engine experiments.

태양광 전력모델을 포함한 장기체공 무인기의 3차원 경로계획 및 유도 (3-Dimensional Path Planning and Guidance for High Altitude Long Endurance UAV Including a Solar Power Model)

  • 오수헌;김갑동;박준현
    • 한국항행학회논문지
    • /
    • 제20권5호
    • /
    • pp.401-407
    • /
    • 2016
  • 본 논문에서는 태양광 장기체공 무인기의 전력모델을 포함한 3차원 경로계획과 유도에 대하여 기술한다. 본 논문에서 사용한 Dubins curve는 계산속도가 빨라 경로계획에 곧바로 적용이 가능하다는 장점이 있다. 하지만 Dubins curve의 경로생성 문제는 2차원 평면에서 정의되기 때문에 실제 항공기의 경로계획을 위해 Randal W. Beard에 의해 수행된 비행 경로각의 한계를 고려하여, 고도 차이에 따라 선회경로를 추가하는 방식의 3차원 Dubins 경로생성 알고리즘을 활용하였다. 본 논문에서 사용한 항공기 모델은 Aileron이 없기 때문에 Rudder를 사용하여 횡축 방향 제어기를 설계하였으며, 비선형 경로추종 유도기법을 사용하여 경로추종 시뮬레이션을 수행하였다. 고도조건에 따른 예제를 생성하였으며, 시뮬레이션 결과 생성된 경로를 잘 추종하는 것을 확인하였다. 마지막으로 태양에너지 수율에 대한 계산식을 통해 태양광 장기체공 무인기의 전력 시스템을 모델링하여 48시간 연속비행 시뮬레이션을 실시하였고, 이에 대한 시뮬레이션 결과를 제시하였다.

Adaptive Feedback Linearization Control Based on Airgap Flux Model for Induction Motors

  • Jeon Seok-Ho;Baang Dane;Choi Jin-Young
    • International Journal of Control, Automation, and Systems
    • /
    • 제4권4호
    • /
    • pp.414-427
    • /
    • 2006
  • This paper presents an adaptive feedback linearization control scheme for induction motors with simultaneous variation of rotor and stator resistances. Two typical modeling techniques, rotor flux model and stator flux model, have been developed and successfully applied to the controller design and adaptive observer design, respectively. By using stator fluxes as states, over-parametrization in adaptive control can be prevented and control strategy can be developed without the need of nonlinear transformation. It also decrease the relative degree for the flux modulus by one, thereby, yielding, a simple control algorithm. However, when this method is used for flux observer, it cannot guarantee the convergence of flux. Similarly, the rotor flux model may be appropriate for observers, but it is not so for adaptive controllers. In addition, if these two existing methods are merged into overall adaptive control system, it brings about structural complexies. In this paper, we did not use these two modeling methods, and opted for the airgap flux model which takes on only the positive aspects of the existing rotor flux model and stator flux model and prevents structural complexity from occuring. Through theoretical analysis by using Lyapunov's direct method, simulations, and actual experiments, it is shown that stator and rotor resistances converge to their actual values, flux is well estimated, and torque and flux are controlled independently with the measurements of rotor speed, stator currents, and stator voltages. These results were achieved under the persistent excitation condition, which is shown to hold in the simulation.

삼중 덕티드 팬 비행체 운동모델링 및 리아푸노프 제어를 이용한 안정화 (Dynamic Modeling and Stabilization of a Tri-Ducted Fan Unmanned Aerial Vehicles using Lyapunov Control)

  • 나경석;원대희;윤석환;성상경;류민형;조진수;이영재
    • 한국항공우주학회지
    • /
    • 제40권7호
    • /
    • pp.574-581
    • /
    • 2012
  • 로터를 이용한 무인비행체는 노출된 블레이드로 운용 시 위험이 따른다. 반면 덕티드팬은 블레이드 주위를 덕트로 감싸 위험요소를 줄여주고, 동일 동력 하중을 사용한 로터보다 향상된 추력성능을 보인다. 본 논문에서는 덕티드 팬의 장점을 적용하고자 세 개의 덕티드 팬으로 구성된 삼중 덕티드 팬 비행체 형상을 제안한다. 크기가 동일한 두 개의 덕티드 팬과, 크기가 다른 한 개의 덕티드 팬으로 구성되며 3개의 덕티드 팬 중 하나는 추력 방향 조절을 통해 신속한 자세 제어가 가능하다. 삼중 덕티드 팬 비행체의 운동방정식을 유도 하였고, 리아푸노프 함수를 적용하여 시스템을 안정하게 하는 제어 입력을 도출하였다. 그리고 비행체 초기모델의 파라미터를 적용하여 비선형 모델 시뮬레이션을 통해 안정한 자세각이 출력됨을 확인하고 결과를 분석하였다.

중층 종합병원 건물의 내진성능평가 (Seismic Performance Evaluation of a Mid-rise General Hospital Building)

  • 김태완;추유림;김승래
    • 한국지진공학회논문집
    • /
    • 제21권5호
    • /
    • pp.245-254
    • /
    • 2017
  • The building which are essential for disaster recovery is classified as a special seismic use group. Especially, achievement of seismic performance is very important for the hospital, so the hospital should be able to maintain its function during and right after an earthquake without significant damage on both structural and non-structural elements. Therefore, this study aimed at checking the seismic performance of a hospital building, but which was limited to structural elements. For the goal, a plan with a configuration of general hospitals in Korea was selected and designed by two different seismic-force-resisting systems. In analytical modeling, the shear behavior of the wall was represented by three inelastic properties as well as elastic. Nonlinear dynamic analyses were conducted to evaluate the performance of structural members. The result showed that the performance of shear walls in the hospital buildings was not satisfied regardless of the seismic-force-resisting systems, while the demands on the beams and columns did not exceed the capacities. This is the result of only considering the shear of the wall as the force-controlled action. When the shear of the wall was modeled as inelastic, the walls were yielded in shear, and as the result, the demands for frames were increased. However, the increase did not exceed the capacities of the frames members. Consequently, since the performance of walls is significant to determine the seismic performance of a hospital building, it will be essential to establish a definite method of modeling shear behavior of walls and judging their performance.

퍼지 슬라이딩 모드의 속도 향상을 위한 제어기 설계 (Fuzzy sliding mode controller design for improving the learning rate)

  • 황은주;조영완;김은태;박민용
    • 한국지능시스템학회논문지
    • /
    • 제16권6호
    • /
    • pp.747-752
    • /
    • 2006
  • 본 논문에서는 두 개의 시스템으로 구성된 적응 퍼지 슬라이딩 모드 제어기의 설계를 제안한다. 제안한 슬라이딩 모드 제어기는 두 개의 시스템입력으로 구성된다. 기존의 슬라이딩 모드 제어기는 $approximation{\^{u}}(t)$에 불연속항 sgn함수나 sat함수를 추가하여 상태궤적을 sliding surface로 보내는 제어 기법을 사용하고 있다. 본 논문에서는 이러한 기존의 제어기에 또 하나의 불연속항 제어기를 추가하여 불확실한 제어 이득에 의한 disturbance를 줄여주고, 불확실한 외란에 강인한 제어기설계와 알지 못하는 실제 비선형 시스템과 퍼지 시스템 간의 오차에 의한 불안정성도 해결할 수 있는 제어기를 제안하였다. 또한 본 논문에서는 Fuzzy tuning을 통해 슬라이딩 조건을 가변화함으로써 기존의 슬라이딩 모드 제어기에 비해 빠르고 정확하게 추종 가능하도록 제어기의 성능을 향상시킨다. 기존의 슬라이딩 모드 제어방식에서는 ${\eta}$값을 임의의 양의 상수로 두고 설계를 하였다. 하지만 이러한 방식은 높은 overshoot를 발생하게 하거나 늦은 정정시간을 갖게 하였다. 이를 해결하기 위하여 본 논문에서는 state의 각 상황에 맞는 ${\eta}$값을 fuzzy tuning을 통하여 유도해 내어 overshoot를 줄이며 동시에 정정시간도 줄여 제어성능을 높이는 방법을 제안한다.

토픽모델링을 활용한 SIAM Journal on Applied Mathematics의 연구 동향 분석 (Analysis of Research Trends in SIAM Journal on Applied Mathematics Using Topic Modeling)

  • 김성연
    • 한국산학기술학회논문지
    • /
    • 제21권7호
    • /
    • pp.607-615
    • /
    • 2020
  • 본 연구는 텍스트 마이닝 기법을 이용하여 산업수학과 관련한 논문들의 연구 현황 및 동향을 파악하는데 목적이 있다. 이를 위해 R로 1970년부터 2019년까지 SIAM Journal on Applied Mathematics 총 4910편 논문의 제목, 초록, 주제어를 수집하였으며, LDA 알고리즘 기반의 토픽모델링 분석을 수행하였다. 수집된 자료에 대한 coherence score 분석 결과, 토픽의 최적 개수는 20개로 결정하였으며, 핵심 연구 주제들은 Gibbs 샘플링 방법을 기반으로 추출하였다. 주요 분석 결과는 다음과 같다. 첫째, 해석학과 대수학을 중심으로 계산수학, 기하학, 수학적 모델링, 위상수학, 이산수학, 확률 및 통계학 등 다양한 수학 분야에서 산업수학 관련 연구가 진행되었다. 둘째, 연대별 연구 주제의 동향을 분석한 결과, 상승하는 연구 주제는 수리생물학, 비선형편미분방정식, 이산수학, 통계학, 위상수학으로, 하강하는 연구 주제는 확률론만 나타났다. 셋째, 2015개정 수학교육과정에서 반영되지 않은 분야 중 고등학교 수학교육과정에서 다루어야 할 내용으로 기수법, 행렬, 공간벡터, 복소수가 도출되었다. 마지막으로 분석 결과를 바탕으로 우리나라의 산업수학 활성화 방안과 본 연구의 제한점 및 후속 연구를 제시하였다.

고분자 전해질 연료전지용 막가습기의 상대습도 추정을 위한 소프트센서 개발 (Soft Sensor Development for Predicting the Relative Humidity of a Membrane Humidifier for PEM Fuel Cells)

  • 한인수;신현길
    • 한국수소및신에너지학회논문집
    • /
    • 제25권5호
    • /
    • pp.491-499
    • /
    • 2014
  • It is important to accurately measure and control the relative humidity of humidified gas entering a PEM (polymer electrolyte membrane) fuel cell stack because the level of humidification strongly affects the performance and durability of the stack. Humidity measurement devices can be used to directly measure the relative humidity, but they cost much to be equipped and occupy spaces in a fuel cell system. We present soft sensors for predicting the relative humidity without actual humidity measuring devices. By combining FIR (finite impulse response) model with PLS (partial least square) and SVM (support vector machine) regression models, DPLS (dynamic PLS) and DSVM (dynamic SVM) soft sensors were developed to correctly estimate the relative humidity of humidified gases exiting a planar-type membrane humidifier. The DSVM soft sensor showed a better prediction performance than the DPLS one because it is able to capture nonlinear correlations between the relative humidity and the input data of the soft sensors. Without actual humidity sensors, the soft sensors presented in this work can be used to monitor and control the humidity in operation of PEM fuel cell systems.

Dynamic Modeling and Stabilization Techniques for Tri-Rotor Unmanned Aerial Vehicles

  • Yoo, Dong-Wan;Oh, Hyon-Dong;Won, Dae-Yeon;Tahk, Min-Jea
    • International Journal of Aeronautical and Space Sciences
    • /
    • 제11권3호
    • /
    • pp.167-174
    • /
    • 2010
  • The design, dynamics, and control allocation of tri-rotor unmanned aerial vehicles (UAVs) are introduced in this paper. A trirotor UAV has three rotor axes that are equidistant from its center of gravity. Two designs of tri-rotor UAV are introduced in this paper. The single tri-rotor UAV has a servo-motor that is installed on one of the three rotors, which enables rapid control of its motion and its various attitude changes-unlike a quad-rotor UAV that depends only on the angular velocities of four rotors for control. The other design is called 'coaxial tri-rotor UAV,' which has two rotors installed on each rotor axis. Since the tri-rotor type of UAV has the yawing problem induced from an unpaired rotor's reaction torque, it is necessary to derive accurate dynamic and design control logic for both single and coaxial tri-rotors. For that reason, a control strategy is proposed for each type of tri-rotor, and nonlinear simulations of the altitude, Euler angle, and angular velocity responses are conducted by using a classical proportional-integral-derivative controller. Simulation results show that the proposed control strategies are appropriate for the control of single and coaxial tri-rotor UAVs.