• Title/Summary/Keyword: error estimates

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Reliable State Estimation Method using Stereo Vision-Based Virtual Model Extended Kalman Filter (스테레오 비전 기반 가상 모델 확장형 칼만 필터를 이용한 안정된 상태 추정 방법)

  • Lim, Young-Chul;Lee, Chung-Hee;Lee, Jong-Hoon
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.48 no.3
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    • pp.21-29
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    • 2011
  • This paper presents a method that estimates distance and velocity of an object with reliability regardless of maneuver status of the target in stereo vision system. A stereo vision system can calculate a distance with disparity from left and right images. However, the distance estimation error may occur due to quantization error of image pixel. A sub-pixel interpolation method minimizes the quantization error and estimates accurate disparity with real value. Extended Kalman filter (EKF) was used to minimize the error covariance and estimate the object's velocity. However, divergence problem occurs due to model uncertainty when a target maneuvers highly, which makes the estimation error increase. In this paper, we propose a virtual model extended Kalman filter (VMEKF) method that minimizes the processing time and provides reliable estimation ability regardless of maneuver status. Computer simulations and experimental results in real road environments demonstrate that the proposed method gives a reliable estimation performance and reduces processing time under various maneuver status while comparing other estimation filters.

An Eeffective Mesh Generation Algorithm Using Singular Shape Functions

  • Yoo, Hyeong Seon;Jang, Jun Hwan;Pyun, Soo Bum
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.4
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    • pp.268-271
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    • 2001
  • In this paper, we propose a simplified pollution adaptive mesh generation algorithm using singular elements. The algorithm based on the element pollution error indicator concentrate on boundary nodes. The automatic mesh generation method is followed by either a node-relocation or a node-insertion method. The boundary node relocation phase is introduced to reduce pollution error estimates without increasing the boundary nodes. The node insertion phase greatly improves the error and the factor with the cost of increasing the node numbers. It is shown that the suggested r-h version algorithm combined with singular elements converges more quickly than the conventional one.

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Reduction of Steady-State Error Using Estimation for Re-Entry Trajectory (추정을 이용한 재진입 궤적의 정상상태 오차감소)

  • 박수홍;이대우
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2001.11a
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    • pp.130-134
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    • 2001
  • In the re-entry control system, errors apt to induce because the time derivative of drag acceleration is analytically estimated. Still more, the difficulty of estimation of the exact drag coefficient in hypersonic velocity and the nun-reality of the scale height cause a steady-state drag error. This paper proposes the additional method of the disturbance observer. This reduces the steady-state drag error according to the following series. First, this method estimates a error in drag acceleration time derivative by the analytic calculation and then creates the new drag acceleration time derivative using the estimated error. The performance of the re-entry control system is verified about 32 reference trajectories.

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An Effective Stop-and-Wait ARQ Scheme for Variable-Euor-Rate Channels (가변 에러율 채널에 효과적인 Stop-and-Wait ARQ방식)

  • 김윤호;정두영
    • Journal of Korea Multimedia Society
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    • v.5 no.2
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    • pp.198-205
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    • 2002
  • Most studies of the ARQ schemes are conducted under the limited error rate of a fairly stationary channel. In nonstationary channel, error rates vary considerably and variety of error rate is wide. This paper proposes an effective Stop-and-Wait ARQ scheme which estimates the channel state in a simple manner based on the received acknowledgement messages, and can adaptively switch its operation mode in a channel where error rates vary slowly. It provides higher throughput than other comparable Stop-and-Wait ARQ schemes under a wide variety of error rate conditions.

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Posteriori Error Estimates for Adaptive Finite Element Analysis of Electro and Magnetostatic Fields (정전자장의 적응유한요소해석을 위한 오차추정)

  • 김형석;최홍순;한송엽
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.1
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    • pp.22-28
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    • 1989
  • This paper describes error estimate mothod for adaptive finite element analysis of two dimensional electrostatic and magnetostatic field problems. To estimate the local errors, divergence theorem is used for electrostatic field and Ampere's circuital law for magnetostatic field. To confirm the effectiveness of the proposed error estimators, adaptive finite element computations are performed using the proposed error estimators. The rates of convergence of global errors are comparable with those of existing adaptive finite element schemes which make use of field continuity conditions between element boundaries. This algorithm of error estimate can be easily implemented because of its simplicity. Especially, when the value of charge in electrostatic field and the value of current in magnetostatic field are to be figured out, this method is considerded to be preferable to other approaches.

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A Bayesian Approach for Accelerated Failure Time Model with Skewed Normal Error

  • Kim, Chansoo
    • Communications for Statistical Applications and Methods
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    • v.10 no.2
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    • pp.268-275
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    • 2003
  • We consider the Bayesian accelerated failure time model. The error distribution is assigned a skewed normal distribution which is including normal distribution. For noninformative priors of regression coefficients, we show the propriety of posterior distribution. A Markov Chain Monte Carlo algorithm(i.e., Gibbs Sampler) is used to obtain a predictive distribution for a future observation and Bayes estimates of regression coefficients.

Chi-squared Tests for Homogeneity based on Complex Sample Survey Data Subject to Misclassification Error

  • Heo, Sunyeong
    • Communications for Statistical Applications and Methods
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    • v.9 no.3
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    • pp.853-864
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    • 2002
  • In the analysis of categorical data subject to misclassification errors, the observed cell proportions are adjusted by a misclassification probabilities and estimates of variances are adjusted accordingly. In this case, it is important to determine the extent to which misclassification probabilities are homogeneous within a population. This paper considers methods to evaluate the power of chi-squared tests for homogeneity with complex survey data subject to misclassification errors. Two cases are considered: adjustment with homogeneous misclassification probabilities; adjustment with heterogeneous misclassification probabilities. To estimate misclassification probabilities, logistic regression method is considered.

A STABILIZED CHARACTERISTIC FINITE VOLUME METHOD FOR TRANSIENT NAVIER-STOKES EQUATIONS

  • Zhang, Tong
    • Journal of applied mathematics & informatics
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    • v.29 no.5_6
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    • pp.1205-1219
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    • 2011
  • In this work, a stabilized characteristic finite volume method for the time-dependent Navier-Stokes equations is investigated based on the lowest equal-order finite element pair. The temporal differentiation and advection term are dealt with by characteristic scheme. Stability of the numerical solution is derived under some regularity assumptions. Optimal error estimates of the velocity and pressure are obtained by using the relationship between the finite volume and finite element methods.

ON THREE SPECTRAL REGULARIZATION METHODS FOR A BACKWARD HEAT CONDUCTION PROBLEM

  • Xiong, Xiang-Tuan;Fu, Chu-Li;Qian, Zhi
    • Journal of the Korean Mathematical Society
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    • v.44 no.6
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    • pp.1281-1290
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    • 2007
  • We introduce three spectral regularization methods for solving a backward heat conduction problem (BHCP). For the three spectral regularization methods, we give the stability error estimates with optimal order under an a-priori and an a-posteriori regularization parameter choice rule. Numerical results show that our theoretical results are effective.

A PREDICTOR-CORRECTOR METHOD FOR FRACTIONAL EVOLUTION EQUATIONS

  • Choi, Hong Won;Choi, Young Ju;Chung, Sang Kwon
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.6
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    • pp.1725-1739
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    • 2016
  • Abstract. Numerical solutions for the evolutionary space fractional order differential equations are considered. A predictor corrector method is applied in order to obtain numerical solutions for the equation without solving nonlinear systems iteratively at every time step. Theoretical error estimates are performed and computational results are given to show the theoretical results.