• Title/Summary/Keyword: linear filter model

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A Linear Filtering Method for Statistical Process Control with Autocorrelated Data (자기상관 데이터의 통계적 공정관리를 위한 선형 필터 기법)

  • Jin Chang-Ho;Apley Daniel W.
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.05a
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    • pp.92-100
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    • 2006
  • In many common control charting situations, the statistic to be charted can be viewed as the output of a linear filter applied to the sequence of process measurement data. In recent work that has generalized this concept, the charted statistic is the output of a general linear filter in impulse response form, and the filter is designed by selecting its impulse response coefficients in order to optimize its average run length performance. In this work, we restrict attention to the class of all second-order linear filters applied to the residuals of a time series model of the process data. We present an algorithm for optimizing the design of the second-order filter that is more computationally efficient and robust than the algorithm for optimizing the general linear filter. We demonstrate that the optimal second-order filter performs almost as well as the optimal general linear filter in many situations. Both methods share a number of interesting characteristics and are tuned to detect any distinct features of the process mean shift, as it manifests itself in the residuals.

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Calibration technique of gimballed inertial navigation system using the velocity error initialization (속도오차 초기화를 이용한 김블형 관성항법시스템의 교정기법)

  • 김천중;박정화;박흥원
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.860-863
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    • 1996
  • In this paper, we formulate the extended Kalman filter for calibration of gimballed inertial navigation system (GINS) at a pure navigation mode with 1500 ft/sec initial velocity and compare its performance to the linear Kalman filter's by using Monte-Carlo analysis method. It has been shown that estimation performance of the extended Kalman filter is better than that of the linear Kalman filter.

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An Extended Kalman Filter Robust to Linearization Error (선형화 오차에 강인한 확장칼만필터)

  • Hong, Hyun-Su;Lee, Jang-Gyu;Park, Chan-Gook
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.2
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    • pp.93-100
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    • 2006
  • In this paper, a new-type Extended Kalman Filter (EKF) is proposed as a robust nonlinear filter for a stochastic nonlinear system. The original EKF is widely used for various nonlinear system applications. But it is fragile to its estimation errors because they give rise to linearization errors that affect the system mode1 as the modeling errors. The linearization errors are nonlinear functions of the estimation errors therefore it is very difficult to obtain the accurate error covariance of the EKF using the linear form. The inaccurately estimated error covariance hinders the EKF from being a sub-optimal estimator. The proposed filter tries to obtain the upper bound of the error covariance tolerating the uncertainty of the error covariance instead of trying to obtain the accurate one. It treats the linearization errors as uncertain modeling errors that can be handled by the robust linear filtering. In order to be more robust to the estimation errors than the original EKF, the proposed filter minimizes the upper bound like the robust linear filter that is applied to the linear model with uncertainty. The in-flight alignment problem of the inertial navigation system with GPS position measurements is a good example that the proposed robust filter is applicable to. The simulation results show the efficiency of the proposed filter in the robustness to initial estimation errors of the filter.

Control of mobile robots based on a linear optic-flow algorithm (선형 Optic flow 알고리듬을 이용한 이동 로봇 제어)

  • 최대일;한웅기;국태용
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1149-1152
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    • 1996
  • Recently visual servo control is an important feature of an intelligent robot system. In this paper, we presents a Kalman filter approach for estimation of the linear optic flow model which is utilized in the visual servoing of a mobile robot. The proposed method is also compared with the conventional least mean square method via computer simulation.

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Quasi-Optimal Linear Recursive DOA Tracking of Moving Acoustic Source for Cognitive Robot Auditory System (인지로봇 청각시스템을 위한 의사최적 이동음원 도래각 추적 필터)

  • Han, Seul-Ki;Ra, Won-Sang;Whang, Ick-Ho;Park, Jin-Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.3
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    • pp.211-217
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    • 2011
  • This paper proposes a quasi-optimal linear DOA (Direction-of-Arrival) estimator which is necessary for the development of a real-time robot auditory system tracking moving acoustic source. It is well known that the use of conventional nonlinear filtering schemes may result in the severe performance degradation of DOA estimation and not be preferable for real-time implementation. These are mainly due to the inherent nonlinearity of the acoustic signal model used for DOA estimation. This motivates us to consider a new uncertain linear acoustic signal model based on the linear prediction relation of a noisy sinusoid. Using the suggested measurement model, it is shown that the resultant DOA estimation problem is cast into the NCRKF (Non-Conservative Robust Kalman Filtering) problem [12]. NCRKF-based DOA estimator provides reliable DOA estimates of a fast moving acoustic source in spite of using the noise-corrupted measurement matrix in the filter recursion and, as well, it is suitable for real-time implementation because of its linear recursive filter structure. The computational efficiency and DOA estimation performance of the proposed method are evaluated through the computer simulations.

Autonomous Navigation of AGVs in Automated Container Terminals

  • Kim, Yong-Shik;Hong, Keum-Shik
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2004.04a
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    • pp.459-464
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    • 2004
  • In this paper, an autonomous navigation system for autonomous guided vehicles (AGVs) operated in an automated container terminal is designed. The navigation system is based on the sensors detecting the range and bearing. The navigation algorithm used is an interacting multiple model (IMM) algorithm to detect other AGVs and avoid other obstacles using informations obtained from multiple sensors. As models to detect other AGVs (or obstacles), two kinematic models are derived: Constant velocity model for linear motion and constant speed turn model for curvilinear motion. For constant speed turn model, an unscented Kalman filter (UKF) is used because of drawbacks of the extended Kalman filter (EKF) in nonlinear system. The suggested algorithm reduces the root mean squares error for linear motions, while it can rapidly detect possible turning motions.

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Practical modeling of cigarette ventilation rate

  • Kim, Young-Hoh;Lee, Moon-Yong;Rhee, Kyu-Seo;Lee, Dong-Wook
    • Journal of the Korean Society of Tobacco Science
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    • v.21 no.2
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    • pp.109-118
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    • 1999
  • A model predicted describing the effect of cigarette making materials on the level of filter ventilation was developed and evaluated. The developed model was expressed in terms of a linear and quadratic relationship which was validated with experimental measurements for different porosity of plug wrap and tipping paper, unencapsulated pressure drop of filter plug and cigarette column and vent position. Forty-six experimental frequencies were determined as a result of using three levels with five factors Box-Behnken design and analyzed by the multiple regression analysis with backward stepwise in STATISTICA/PC under restricted conditions. The four factors, except filter pressure drop variable, were statistically significant at the level of 0.05 but most of all linear by linear interactions were comparatively lower significant. By the analysis of linear and quadratic regression coefficient, filter ventilation of the cigarette was affected by porosity of plugwrap (5.87, -4.25), porosity of tip paper (5.68, -1.00), vent position (-3.87, 3.08), tobacco column pressure drop (2.56, 0.66), and filter pressure drop (1.50, 0.58) in the decreasing order. It should be emphasized that the major conclusion of this study was not that any particular parameter was linear or quadratic on any limit scale, but that there were highly significant relationships among factors involving linear, quadratic and their interaction and perhaps even linearity between and within factors. While, there is also quite strong evidence that vent position from mouth end and cigarette making materials are reverse relationship on this experimental model. On the basis of the result, it can be concluded that the porosity of the plug wrap and tipping paper has a marked effect on degree of filter ventilation rate. The F-value of plug wrap and tipping paper porosity among five factors were 39.2 and 36.8 respectively with P-value of 0.000 indicating higher significant for both factors. According to the analysis of variance, the model fitted for filter ventilation was significant at 5% confidence level and the coefficient of determination ($R^2$=0.84) was the proportion to variability in the data well fitted for by the model.

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Rao-Blackwellized Multiple Model Particle Filter Data Fusion algorithm (Rao-Blackwellized Multiple Model Particle Filter자료융합 알고리즘)

  • Kim, Do-Hyeung
    • Journal of Advanced Navigation Technology
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    • v.15 no.4
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    • pp.556-561
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    • 2011
  • It is generally known that particle filters can produce consistent target tracking performance in comparison to the Kalman filter for non-linear and non-Gaussian systems. In this paper, I propose a Rao-Blackwellized multiple model particle filter(RBMMPF) to enhance computational efficiency of the particle filters as well as to reduce sensitivity of modeling. Despite that the Rao-Blackwellized particle filter needs less particles than general particle filter, it has a similar tracking performance with a less computational load. Comparison results for performance is listed for the using single sensor information RBMMPF and using multisensor data fusion RBMMPF.

The Design of Hybrid Filter using 2-nd order Pole-Zero IIR Filters (2차계 Pole-Zero IIR필터를 사용한 Hybrid필터의 설계)

  • 홍의식
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.10 no.1
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    • pp.38-41
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    • 1985
  • The hybrid design which is to take IIR filter of the first stage as a second order pole-zero model and minimize the filter length of the of the FIR filter of the following stage is presented. The outcome of the simulation showed us that the the filter length in the hybrid filters was remarkably decreased compared to that of the hybrid filters which take the IIR filter as a all-pole model. Although the hybrid filters couldn't obtain the exact linear phase. it was superior to the IIR filters in passband and stopband.

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Suboptimal Kalman filter design with pseudomeasurements for maneuvering target tracking (목표물 추적을 위한 가측정치를 이용한 준최적 칼만필터의 설계)

  • 송택렬;안조영;박찬빈
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.556-561
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    • 1987
  • This paper presents a suboptimal Kalman filter design method for the problem of tracking a maneuvering target. The design method is essentially based on linear target dynamics and linear-like structured measurements called pseudomeasurements. The pseudomeasurements are obtained by manipulating the original nonlinear measurements algebraically. The resulting filter has computational advantages over other filters with similar performance. Monte Carlo computer simulation results are included to demonstrate the effectiveness of the proposed suboptimal filter associated with the target acceleration model.

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