• 제목/요약/키워드: Non-linear Function

검색결과 823건 처리시간 0.036초

기상위성 휘도온도와 기상레이더 반사도 자료를 이용한 한반도 영역의 강우강도 추정 비선형 관계식 개선 (Improvement of Non-linear Estimation Equation of Rainfall Intensity over the Korean Peninsula by using the Brightness Temperature of Satellite and Radar Reflectivity Data)

  • 최학림;서종진;배주연;김수진;이광목
    • 한국지구과학회지
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    • 제39권2호
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    • pp.131-138
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    • 2018
  • 본 연구의 목적은 위성의 밝기온도를 기반으로 한 정량적 강우량 추정기법의 개선을 위함이다. 우리나라 여름철 강우사례를 이용하여 강우추정을 위한 비선형 관계식을 개선하였다. 분석을 위해 레이더 자료로 기상청 기상레이더 관측망의 고도 1.5 km와 CMAX 반사도 합성자료를 사용하였으며, 위성자료는 천리안 위성의 가시, 적외, 수증기 채널의 자료를 이용하였다. 새롭게 도출된 알고리즘은 A-E method, CRR v4.0 analytic function의 결과와 비교를 하였다. 검증을 위해 우리나라 ASOS에서 관측한 지상강우량 자료를 사용하였다. 공간검증을 위해 검증지수로 POD, FAR, CSI를 계산하였으며 각각 0.67, 0.76, 0.21로 나타났다. 정량적 강우검증을 위해 MAE와 RMSE를 계산하였으며 각각 2.49, 6.18 mm/h였다. A-E에 비하여 정량적인 오차가 줄어들었으며 CRR에 비하여 공간적인 정확도가 증가하였다. 개선한 관계식을 적용한 방법이 두 알고리즘의 부족한 부분을 보완할 수 있는 것으로 판단된다. 개선한 관계식을 통해 강우를 추정하는 방법은 복잡한 알고리즘을 거치지 않고 짧은 시간에 강우추정이 가능함으로써 현업용 실시간 초단기 예보에 활용될 수 있다.

Nonlinear Observer flay Applications of Fermentation Process in Stirred Tank Bioreactor

  • Kim, Hak-Kyeong;Nguyen, Tan-Tien;Kim, Sang-Bong
    • Transactions on Control, Automation and Systems Engineering
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    • 제4권3호
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    • pp.244-250
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    • 2002
  • This paper proposed a modified observer based on Busawon's high gain observer using an appropriate time depended function, which can be chosen to make each estimated state converge faster to its real value. The stability of the modified observer is proved by using Lyapunov function. The modified nonlinear observer is applied to estimate the states in stirred tank bioreactor: out-put substrate concentration, output biomass concentration and the specific growth rate of the process. The convergences of the modified observer and Busawon's observer are compared trough simulation results. As the results, the modified observer converges faster to its real value than the well-known Busawon's observer.

Graphic Representation of Solutions of Partial Differential Equations Using their Corresponding Fuzzy Systems

  • 문병수
    • 한국전산응용수학회:학술대회논문집
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    • 한국전산응용수학회 2003년도 KSCAM 학술발표회 프로그램 및 초록집
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    • pp.4.2-4
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    • 2003
  • In this paper, we describe how to approximate the solutions of partial differential equations by bicubic spline functions whose interpolation errors at non-grid points are smaller in general than those by linear interpolations of the original solution at grid points. We show that the bicubic spline function can be represented exactly or approximately by a fuzzy system, and that the resulting fuzzy rule table shows the contours of the solution function. Thus, the fuzzy rule table is identified as a digital image and the contours in the rule table provide approximate contours of the solution of partial differential equations. Several illustrative examples are included.

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ON THE GLOBAL CONVERGENCE OF A MODIFIED SEQUENTIAL QUADRATIC PROGRAMMING ALGORITHM FOR NONLINEAR PROGRAMMING PROBLEMS WITH INEQUALITY CONSTRAINTS

  • Liu, Bingzhuang
    • Journal of applied mathematics & informatics
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    • 제29권5_6호
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    • pp.1395-1407
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    • 2011
  • When a Sequential Quadratic Programming (SQP) method is used to solve the nonlinear programming problems, one of the main difficulties is that the Quadratic Programming (QP) subproblem may be incompatible. In this paper, an SQP algorithm is given by modifying the traditional QP subproblem and applying a class of $l_{\infty}$ penalty function whose penalty parameters can be adjusted automatically. The new QP subproblem is compatible. Under the extended Mangasarian-Fromovitz constraint qualification condition and the boundedness of the iterates, the algorithm is showed to be globally convergent to a KKT point of the non-linear programming problem.

차동 제동을 이용한 조향 제어 시뮬레이션 (Simulation of Vehicle Steering Control through Differential Braking)

  • 제롬살랑선네;윤여흥;장봉춘;이성철
    • 한국정밀공학회지
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    • 제19권11호
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    • pp.65-74
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    • 2002
  • This paper examines the usefulness of a Brake Steer System (BSS), which uses differential brake forces for steering intervention in the context of Intelligent Transportation Systems (ITS). In order to help the car to turn, a yaw moment can be achieved by altering the left/right and front/rear brake distribution. This resulting yaw moment on the vehicle affects lateral position thereby providing a limited steering function. The steering function achieved through BSS can then be used to control lateral position in an unintended road departure system. A 8-DOF nonlinear vehicle model including STI tire model will be validated using the equations of motion of the vehicle. Then a controller will be developed. This controller, which will be a PID controller tuned by Ziegler-Nichols, will be designed to explore BSS feasibility by modifying the brake distribution through the control of the yaw rate of the vehicle.

고차 주파수응답함수를 이용한 비선형 시스템의 매개변수 추정 (Use of Higher Order Frequency Response Functions for Non-Linear Parameter Estimation)

  • 이건명
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1994년도 추계학술대회논문집; 한국종합전시장, 18 Nov. 1994
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    • pp.40-45
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    • 1994
  • 기계시스템의 비선형특성 해석을 위하여 여러가지 방법이 활용되고 있는데, 이들은 Nyquist 선도의 찌그러짐(distortion), Hilbert 변환, 복원력면(restoring force surface), NARMAX, 고차 주파수응답함수(higher order frequency response function), DPE(direct parameter estimation)를 이용한 방법등이다. 이들중 고차 FRF(frequency response function)는 그 개념이 선형시스템의 FRF와 유사하여 비선형시스템의 해석방법으로서 주목을 받고 있으나 아직은 고차 FRF의 특성에 대한 이론적 연구 단계이고, 고차 FRF로부터 비선형특성을 정량적으로 해석하는 연구는 거의 이루어지지 않고 있다. 다항식으로 표시되는 비선형성을 갖는 시스템이 정현파가진을 받을 때 그 응답의 가진주파수 성분은 가진력진폭과 고차 FRF의 무한급수로 나타낼 수 있다. 가진력의 진폭을 변화시켜가며 응답을 측정하고, 고차항을 무시하면 고차 FRF의 값을 근사적으로 구할 수 있다. 고차 FRF는 비선형 시스템의 매개변수의 식으로 나타낼 수 있으므로 이로부터 비선형 매개변수를 추정할 수 있다. 본 논문에서는 비선형강성과 비선형감쇠를 갖는 1자유도 시뮬레이션 시스템에 이 매개변수 추정법을 각각 적용함으로써 이 방법의 가능성을 고찰하였다.

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Limit analysis of plates-a finite element formulation

  • Capsoni, Antonio;Corradi, Leone
    • Structural Engineering and Mechanics
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    • 제8권4호
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    • pp.325-341
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    • 1999
  • A procedure for the computation of the load carrying capacity of perfectly plastic plates in bending is presented. The approach, based on the kinematic theorem of limit analysis, requires the evaluation of the minimum of a convex, but non-smooth, function under linear equality constraints. A systematic solution procedure is devised, which detects and eliminates the finite elements which are predicted as rigid in the collapse mechanism, thus reducing the problem to the search for the minimum of a smooth and essentially unconstrained function of nodal velocities. Both Kirchhoff and Mindlin plate models are considered. The effectiveness of the approach is illustrated by means of some examples.

ALTERATION MODELS TO PREDICT LACTATION CURVES FOR DAIRY COWS

  • Sudarwati, H.;Djoharjani, T.;Ibrahim, M.N.M.
    • Asian-Australasian Journal of Animal Sciences
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    • 제8권4호
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    • pp.365-368
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    • 1995
  • Lactation curves of dairy cows were generated using three models, namely; incomplete gamma function (model 1), polynomial inverse function (model 2) and non-linear regression (model 3). Secondary milk yield data of 27 cows which had completed 6 lactations were used in this study. Milk yield records (once a week) throughout the lactation and from the first three months of lactation were fitted to the models. Estimation of total milk yield by model 3 using the data once a week throughout the lactation resulted in smaller % bias and standard error than those generated from model 1 and 2. But, model 2 was more accurate in predicting the 305-day milk yield equivalent closer to actual yields with smaller bias % and error using partial records up to 3 months. Also, model 2 was able to estimate the time to reach peak yield close to the actual data using partial records and model 2 could be used as a tool to advise farmers on appropriate feeding and management practices to be adopted.

Optimal shape design of a polymer extrusion die by inverse formulation

  • Na, Su-Yeon;Lee, Tai-Yong
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1995년도 Proceedings of the Korea Automation Control Conference, 10th (KACC); Seoul, Korea; 23-25 Oct. 1995
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    • pp.315-318
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    • 1995
  • The optimum design problem of a coat-hanger die is solved by the inverse formulation. The flow in the die is analyzed using three-dimensional model. The new model for the manifold geometry is developed for the inverse formulation. The inverse problem for the optimum die geometry is formed as the optimization problem whose objective function is the linear combination of the square sum of pressure gradient deviation at die exit and the penalty function relating to the measure of non-smoothness of solution. From the several iterative solutions of the optimization problem, the optimum solution can be obtained automatically while producing the uniform flow rate distribution at die exit.

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나선 예측 모델에서의 비행체 하중수 및 각속도 최적 제어에 의한 제어성과 안정성 성능에 관한 연구 (A Study for Controllability, Stability by Optimal Control of Load and Angular Velocity of Flying Objects using the Spiral Predictive Model(SPM))

  • 왕현민
    • 제어로봇시스템학회논문지
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    • 제13권3호
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    • pp.268-272
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    • 2007
  • These days many scientists make studies of feedback control system for stability on non-linear state and for the maneuver of flying objects. These feedback control systems have to satisfy trajectory condition and angular conditions, that is to say, controllability and stability simultaneously to achieve mission. In this paper, a design methods using model based control system which consists of spiral predictive model, Q-function included into generalized-work function is shown. It is made a clear that the proposed algorithm using SPM maneuvers for controllability and stability at the same time is successful in attaining our purpose. The feature of the proposed algorithm is illustrated by simulation results. As a conclusion, the proposed algorithm is useful for the control of moving objects.