• Title/Summary/Keyword: Kalman FIlter Estimation

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Robustizing Kalman filters with the M-estimating functions

  • Pak, Ro Jin
    • Communications for Statistical Applications and Methods
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    • v.25 no.1
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    • pp.99-107
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    • 2018
  • This article considers a robust Kalman filter from the M-estimation point of view. Pak (Journal of the Korean Statistical Society, 27, 507-514, 1998) proposed a particular M-estimating function which has the data-based shaping constants. The Kalman filter with the proposed M-estimating function is considered. The structure and the estimating algorithm of the Kalman filter accompanying the M-estimating function are mentioned. Kalman filter estimates by the proposed M-estimating function are shown to be well behaved even when data are contaminated.

Parallel Reduced-Order Square-Root Unscented Kalman Filter for State Estimation of Sensorless Permanent-Magnet Synchronous Motor (센서리스 영구자석 동기전동기의 상태 추정을 위한 병렬 축소 차수 제곱근 무향 칼만 필터)

  • Moon, Cheol;Kwon, Young-Ahn
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.6
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    • pp.1019-1025
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    • 2016
  • This paper proposes a parallel reduced-order square-root unscented Kalman filter for state estimation of a sensorless permanent-magnet synchronous motor. The appearance of an unscented Kalman filter is caused by the linearization process error between a real system and classical Kalman model. The unscented transformation can make a more accurate Kalman model. However, the complexity is its main drawback. This paper investigates the design and implementation of the proposed filter with Potter and Carlson square-root form. The proposed parallel reduced-order square-root unscented Kalman filter reduces memory and code size, and improves numerical computation. And the performance is not significantly different from the unscented Kalman filter. The experimentation is performed for the verification of the proposed filter.

Attitude Estimation using Adaptive Extended Kalman Filter (적응 확장 칼만 필터를 이용한 3차원 자세 추정)

  • Suh, Young-Soo;Shin, Yeong-Hun;Park, Sang-Kyeong;Kang, Hee-Jun
    • Proceedings of the KIEE Conference
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    • 2004.05a
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    • pp.41-43
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    • 2004
  • This paper is concerned with attitude estimation using low cost, small-sized accelerometers and gyroscopes. A two step extended Kalman filter is proposed, which adaptively compensates external acceleration. External acceleration is the main source of estimation error. In the proposed filter, direction of external acceleration is estimated. According to the estimated direction, the accelerometer measurement covariance matrix of the two step extended Kalman filter is adjusted. The proposed algorithm is verified through experiments.

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Aircraft parameter estimation using the extended kalman filter (확장 칼만 필터를 이용한 항공기 파라미터 추정)

  • 송용규;황명신;박욱제
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1655-1658
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    • 1997
  • To obtain aircraft dynamic parameters, various estimation methods such as Maximum Likelihood, Linear Regression are applied. In this paper we adopt the extended Kalman filter(EKF) to estimate the stability and control derivatives in aircraft dynamic models from flight test data. The extended Kalman filter is applied to nonlinear augmented system assuming that unknown parameters are additional states. In this work, the results of the extended Kalman filter are compared with the results of the wind tunnel test using Chang Gong-91 aircraft flight test data.

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Observer design with Gershgorin's disc

  • Si, Chen;Zhai, Yujia
    • Journal of the Korea Convergence Society
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    • v.4 no.4
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    • pp.41-48
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    • 2013
  • Observer design for system with unknown input was carried out. First, Kalman filter was considered to estimate system state with White noise. With the results of Kalman filter design, state observer, controller properties, including controllability and observability, and the Kalman filter structure and algorithm were also studied. Kalman filter algorithm was applied to Position and velocity measurement based on Kalman filter with white noise, and it was constructed and achieved by programming based on Matlab programming. Finally, observer for system with unknown input was constructed with the help of Gershgorin's disc theorem. With the designed observer, system states was constructed and applied to system with unknown input. By simulation results, estimation performance was verified. In this project, state feedback control theory, observer theory and relevant design procedure, as well as Kalman filter design were understood and used in practical application.

Driveline Output Torque Estimation Using Discrete Kalman Filter (이산 칼만 필터를 이용한 구동 출력 토크 추정)

  • Gi-Woo, Kim
    • Transactions of the Korean Society of Automotive Engineers
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    • v.20 no.4
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    • pp.68-75
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    • 2012
  • This paper presents a study on the driveline output torque estimation using a discrete Kalman filter. The in-situ output shaft torque is first measured by a non-contacting magneto-elastic torque transducer. The linear state-space system equations are first derived and the discrete Kalman filter is designed based on the Kalman filter theory to recover the driveline output torque contaminated by random noises. In addition to using torque measurement, the estimation of the output torque using two angular velocities: the output and wheel, is also conducted. The experimental results show that the discrete Kalman filter can be effective for not only removing the random noise in output torque but also estimating the output torque without torque measurement.

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.

A Suggestion of Fuzzy Estimation Technique for Uncertainty Estimation of Linear Time Invariant System Based on Kalman Filter

  • Kim, Jong Hwa;Ha, Yun Su;Lim, Jae Kwon;Seo, Soo Kyung
    • Journal of Advanced Marine Engineering and Technology
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    • v.36 no.7
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    • pp.919-926
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    • 2012
  • In order to control a LTI(Linear Time Invariant) system subjected to system noise and measurement noise, first of all, it is necessary to estimate the state of system with reliability. Kalman filtering technique has been widely used to estimate the state of the stochastic LTI system with stationary noise characteristics because of its estimation ability versus algorithm simplicity. However, it often fails to estimate the state of the LTI system of which system parameter uncertainty exists partly and/or input uncertainty exists. In this paper, a new estimation technique based on Kalman filter is suggested for stochastic LTI system under parameter uncertainty and/or input uncertainty. A fuzzy estimation algorithm against uncertainties is introduced so as to compensate the state estimate filtered by Kalman filter. In order to verify the state estimation performance of the suggested technique, several simulations are accomplished.

Small Area Estimation of Unemplyoment Using Kalman Filter Method (KALMAN FILTER기법을 이용한 실업자 수의 소지역 추정)

  • 양영춘;이상은;신민웅
    • The Korean Journal of Applied Statistics
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    • v.16 no.2
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    • pp.239-246
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    • 2003
  • In small area estimation, Best Linear Unbaised Predictor(BLUP) can be directly implicated ,specially, in use of the time series estimation. If there are correlations between observations and error terms over the time, Kalman Filter method can be used. Therefore, using kalman Filtering technique small area estimation of total of unemployments are estimated by BLUP. And for the example of this study, Economic Active Population Survey data were used.

SOC Estimation of Flooded Lead Acid Battery Using an Adaptive Unscented Kalman Filter (적응형 Unscented 칼만필터를 이용한 플러디드 납축전지의 SOC 추정)

  • Khan, Abdul Basit;Choi, Woojin
    • Proceedings of the KIPE Conference
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    • 2016.11a
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    • pp.59-60
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    • 2016
  • Flooded lead acid batteries are still very popular in the industry because of their low cost as compared to their counterparts. State of Charge (SOC) estimation is of great importance for a flooded lead acid battery to ensure its safe working and to prevent it from over-charging or over-discharging. Different types of Kalman Filters are widely used for SOC estimation of batteries. The values of process and measurement noise covariance of a filter are usually calculated by trial and error method and taken as constant throughout the estimation process. While in practical cases, these values can vary as well depending upon the dynamics of the system. Therefore an Adaptive Unscented Kalman Filter (AUKF) is introduced in which the values of the process and measurement noise covariance are updated in each iteration based on the residual system error. A comparison of traditional and Adaptive Unscented Kalman Filter is presented in the paper. The results show that SOC estimation error by the proposed method is further reduced by 3 % as compared to traditional Unscented Kalman Filter.

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