• Title/Summary/Keyword: Constraint least square

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Orthogonal Least Square Approach to Nonstationary Source Separation

  • Choi Heeyoul;Choi Seungjin
    • Proceedings of the Acoustical Society of Korea Conference
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    • spring
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    • pp.41-44
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    • 2002
  • Blind source separation (BSS) is a fundamental problem that is encountered in many practical applications. In most existing methods, stationary sources are considered higher-order statistics is necessary either explicitly or implicitly. But, many natural signals are nonstationary, and it is possible to perform BSS using only second-order statistics. Our method is based on only second order statistics. The algorithms are developed using the gradient descent method in orthogonality constraint and their performance is confirmed by numerical experiments.

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Comparison of Dynamic Origin Destination Demand Estimation Models in Highway Network (고속도로 네트워크에서 동적기종점수요 추정기법 비교연구)

  • 이승재;조범철;김종형
    • Journal of Korean Society of Transportation
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    • v.18 no.5
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    • pp.83-97
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    • 2000
  • The traffic management schemes through traffic signal control and information provision could be effective when the link-level data and trip-level data were used simultaneously in analysis Procedures. But, because the trip-level data. such as origin, destination and departure time, can not be obtained through the existing surveillance systems directly. It is needed to estimate it using the link-level data which can be obtained easily. Therefore the objective of this study is to develop the model to estimate O-D demand using only the link flows in highway network as a real time. The methodological approaches in this study are kalman filer, least-square method and normalized least-square method. The kalman filter is developed in the basis of the bayesian update. The normalized least-square method is developed in the basis of the least-square method and the natural constraint equation. These three models were experimented using two kinds of simulated data. The one has two abrupt changing Patterns in traffic flow rates The other is a 24 hours data that has three Peak times in a day Among these models, kalman filer has Produced more accurate and adaptive results than others. Therefore it is seemed that this model could be used in traffic demand management. control, travel time forecasting and dynamic assignment, and so forth.

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Reliability-Based Design Optimization Using Kriging Metamodel with Sequential Sampling Technique (순차적 샘플링과 크리깅 메타모델을 이용한 신뢰도 기반 최적설계)

  • Choi, Kyu-Seon;Lee, Gab-Seong;Choi, Dong-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.12
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    • pp.1464-1470
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    • 2009
  • RBDO approach based on a sampling method with the Kriging metamodel and Constraint Boundary Sampling (CBS), which is sequential sampling method to generate metamodels is proposed. The major advantage of the proposed RBDO approach is that it does not require Most Probable failure Point (MPP) which is essential for First-Order Reliability Method (FORM)-based RBDO approach. The Monte Carlo Sampling (MCS), most well-known method of the sampling methods for the reliability analysis is used to assess the reliability of constraints. In addition, a Cumulative Distribution Function (CDF) of the constraints is approximated using Moving Least Square (MLS) method from empirical distribution function. It is possible to acquire a probability of failure and its analytic sensitivities by using an approximate function of the CDF for the constraints. Moreover, a concept of inactive design is adapted to improve a numerical efficiency of the proposed approach. Computational accuracy and efficiency of the proposed RBDO approach are demonstrated by numerical and engineering problems.

Development of Real Time Monitoring and Forecasting/Emergency System for Land Slide of Road

  • Kim, Choon-Sik;Yoon, Soo-Ho;Shin, Seung-Mok;Hur Chul;Kim, Sang-Bong
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.150.1-150
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    • 2001
  • This paper introduces a real time inspecting and monitoring system by using wireless communication and image processing technique. The communication system is developed by using 80c196kc microprocessor and it has data acquisition function for several kinds of sensors such as pluviometer, temperature, tension meter, elinometer and so on. The image processing method adopts Lalacian of Gaussian operator and least square method to extract line features for the captured images and uses a relaxation matching algorithm based in global structure constraint satisfaction to distinguish the matching error for those features. When the algorithm is processed, motion parameters of displacement area and its direction are computed. Once movement is recognized ...

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Performance Improvement in GPS Attitude Determination Using Unscented Kalman Filters (GPS를 이용한 자세결정에서 Unscented Kalman Filter를 이용한 성능 향상)

  • Chun Sebum;Lee Eunsung;Kang Taesam;Jee Gyu-In;Lee Young Jae
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.7
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    • pp.621-626
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    • 2005
  • With precise GPS carrier positioning result, we can get attitude information if GPS antenna has adequate attaching position on the vehicle. In this case, baseline length information can be bandied as an additional measurement or constraint. In this paper, we have proposed a method to improve the attitude accuracy. To overcome nonlinearity of baseline observation model, we analyze attitude estimation result using existing estimation method like a least square method and Kalman filter, and apply a new nonlinear estimation method an unscented Kalman filter Finally we confirm the improvement of attitude estimation result in the case of appling the unscented Kalman filter.

An application study for generalized predictive control in distillation column (증류탑에서의 일반형 예측제어(GPC) 응용 연구)

  • Cha, M. H.;Lo, K.;Yoon, E. S.;Yeo, Y. K.;Song, H. K.
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.225-228
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    • 1990
  • The major difficulty in distillation column control lies in executing the set point tracking and the disturbance rejection, because of continuous changes in model order and dead time. For that, generalized predictive control(GPC) was applied to distillation column control. Recursive least square method was used to adjust the changes of model order and dead time. Quadratic progamming(QP) was used to solve the constraint problems in control action and the rate of control action. As a result of the simulation on the dynamic simulator(SPEEDUP) and the experiment on pilot plant, the ability of the set point tracking and the disturbance rejection was acceptable to apply to the real distillation column.

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An efficient Galerkin meshfree analysis of shear deformable cylindrical panels

  • Wang, Dongdong;Wu, Youcai
    • Interaction and multiscale mechanics
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    • v.1 no.3
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    • pp.339-355
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    • 2008
  • A Galerkin meshfree method is presented for analyzing shear deformable cylindrical panels. Based upon the analogy between the cylindrical panel and the curved beam a pure bending mode for cylindrical panel is rationally constructed. The meshfree approximation employed herein is characterized by an enhanced moving least square or reproducing kernel basis function that can exactly represent the pure bending mode and thus meets the requirement of Kirchhoff mode reproducing condition. The variational form is discretized using the efficient stabilized conforming nodal integration with a smoothed nodal gradient based curvature. The resulting meshfree formulation satisfies the integration constraint for bending exactness. Moreover, it is shown here that the smoothed gradient preserves several desired properties which are valid for the standard gradient obtained by direct differentiation, such as partition of nullity and reproduction of a constant strain field. The efficacy of the proposed approach is demonstrated by two benchmark cylindrical panel examples.

악조건하의 비동일평면 카메라 교정을 위한 알고리즘

  • Ahn, Taek-Jin;Lee, Moon-Kyu
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.12
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    • pp.1001-1008
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    • 2001
  • This paper presents a new camera calibration algorithm for ill-conditioned cases in which the camera plane is nearly parallel to a set of non-coplanar calibration boards. for the ill-conditioned case, most of existing calibration approaches such as Tsais radial-alignment-constraint method cannot be applied. Recently, for the ill-conditioned coplanar calibration Lee&Lee[16] proposed an iterative algorithm based on the least square method. The non-coplanar calibration algorithm presented in this paper is an iterative two-stage procedure with extends the previous coplanar calibration algorithm. Through the first stage, camera, position and orientation parameters as well as one radial distortion factor are determined optimally for a given data of the scale factor and the focal length. In the second stage, the scale factor and the focal length are locally optimized. This process is repeated until any improvement cannot be expected any more Computational results are provided to show the performance of the algorithm developed.

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An efficient robust cost optimization procedure for rice husk ash concrete mix

  • Moulick, Kalyan K.;Bhattacharjya, Soumya;Ghosh, Saibal K.;Shiuly, Amit
    • Computers and Concrete
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    • v.23 no.6
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    • pp.433-444
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    • 2019
  • As rice husk ash (RHA) is not produced in controlled manufacturing process like cement, its properties vary significantly even within the same lot. In fact, properties of Rice Husk Ash Based Concrete (RHABC) are largely dictated by uncertainty leading to huge deviations from their expected values. This paper proposes a Robust Cost Optimization (RCO) procedure for RHABC, which minimizes such unwanted deviation due to uncertainty and provides guarantee of achieving desired strength and workability with least possible cost. The RCO simultaneously minimizes cost of RHABC production and its deviation considering feasibility of attaining desired strength and workability in presence of uncertainty. RHA related properties have been modeled as uncertain-but-bounded type as associated probability density function is not available. Metamodeling technique is adopted in this work for generating explicit expressions of constraint functions required for formulation of RCO. In doing so, the Moving Least Squares Method is explored in place of conventional Least Square Method (LSM) to ensure accuracy of the RCO. The efficiency by the proposed MLSM based RCO is validated by experimental studies. The error by the LSM and accuracy by the MLSM predictions are clearly envisaged from the test results. The experimental results show good agreement with the proposed MLSM based RCO predicted mix properties. The present RCO procedure yields RHABC mixes which is almost insensitive to uncertainty (i.e., robust solution) with nominal deviation from experimental mean values. At the same time, desired reliability of satisfying the constraints is achieved with marginal increment in cost.

Development of a High Accuracy Pure Upwind Difference Scheme (고차 정확도의 순수 상류 차분법의 개발)

  • Cho Ji Ryong
    • Journal of computational fluids engineering
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    • v.4 no.1
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    • pp.8-18
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    • 1999
  • In devising a numerical approximation for the convective spatial transport of a fluid mechanical quantity, it is noted that the convective motion of a scalar quantity occurs in one-way, or from upstream to downstream. This consideration leads to a new scheme termed a pure upwind difference scheme (PUDS) in which an estimated value for a fluid mechanical quantity at a control surface is not influenced from downstream values. The formal accuracy of the proposed scheme is third order accurate. Two typical benchmark problems of a wall-driven fluid flow in a square cavity and a buoyancy-driven natural convection in a tall cavity are computed to evaluate performance of the proposed method. for comparison, the widely used simple upwind scheme, power-law scheme, and QUICK methods are also considered. Computation results are encouraging: the proposed PUDS sensitized to the convection direction produces the least numerical diffusion among tested convection schemes, and, notable improvements in representing recirculation of fluid stream and spatial change of a scalar. Although the formal accuracy of PUDS and QUICK are the same, the accuracy difference of approximately a single order is observed from the revealed results.

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