• Title/Summary/Keyword: Integration Error

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The Improvement Method of ARS Attitude depeding on Dynamic Conditions (기동특성에 따른 ARS 자세 성능향상 기법)

  • Park, Chan-Ju;Lee, Sang-Jeong
    • Journal of the Korea Institute of Military Science and Technology
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    • v.11 no.6
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    • pp.30-37
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    • 2008
  • The ARS(Attitude Reference System) calculates an attitude of a vehicle using inertial angular rate sensors and acceleration sensors. The attitude error of ARS increases due to the integration of angular rate sensor output. To reduce the attitude error an acceleration of sensor is used similar to leveling method of INS(Inertial Navigation System). When an acceleration of vehicle is increased, it is difficult to calculate the attitude error using acceleration sensor output. In this paper the estimation method of acceleration due to the attitude error only is proposed. Two methods of the attitude calculation depending on vehicle dynamics and the integration method of these two methods are proposed. To verify its performance the monte carlo simulation is performed and shows that it bounds attitude error of ARS to reasonable level.

IMU-Barometric Sensor-based Vertical Velocity Estimation Algorithm for Drift-Error Minimization (드리프트 오차 최소화를 위한 관성-기압센서 기반의 수직속도 추정 알고리즘)

  • Ji, Sung-In;Lee, Jung Keun
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.11
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    • pp.937-943
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    • 2016
  • Vertical velocity is critical in many areas, such as the control of unmanned aerial vehicles, fall detection, and virtual reality. Conventionally, the integration of GPS (Global Positioning System) with an IMU (Inertial Measurement Unit) was popular for the estimation of vertical components. However, GPS cannot work well indoors and, more importantly, has low accuracy in the vertical direction. In order to overcome these issues, IMU-barometer integration has been suggested instead of IMU-GPS integration. This paper proposes a new complementary filter for the estimation of vertical velocity based on IMU-barometer integration. The proposed complementary filter is designed to minimize drift error in the estimated velocity by adding PID control in addition to a zero velocity update technique.

QUADRATURE ERROR OF THE LOAD VECTOR IN THE FINITE ELEMENT METHOD

  • Kim, Chang-Geun
    • Journal of applied mathematics & informatics
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    • v.5 no.3
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    • pp.735-748
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    • 1998
  • We analyze the error in the p version of the of the finite element method when the effect of the quadrature error is taken in the load vector. We briefly study some results on the $H^{1}$ norm error and present some new results for the error in the $L^{2}$ norm. We inves-tigate the quadrature error due to the numerical integration of the right hand side We present theoretical and computational examples showing the sharpness of our results.

A New Algorithm for the Integration of Thermal-Elasto-Plastic Constitutive Equation (열탄소성 구성방정식 적분을 위한 새로운 알고리즘)

  • 이동욱;신효철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.6
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    • pp.1455-1464
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    • 1994
  • A new and efficient algorithm for the integration of the thermal-elasto-plastic constitutive equation is proposed. While it falls into the category of the return mapping method, the algorithm adopts the three point approximation of plastic corrector within one time increment step. The results of its application to a von Mises-type thermal-elasto-plastic model with combined hardening and temperature-dependent material properties show that the accurate iso-error maps are obtained for both angular and radial errors. The accuracy achieved is because the predicted stress increment in a single step calculation follows the exact value closely not only at the end of the step but also through the whole path. Also, the comparison of the computational time for the new and other algorithms shows that the new one is very efficient.

Dual Foot-PDR System Considering Lateral Position Error Characteristics

  • Lee, Jae Hong;Cho, Seong Yun;Park, Chan Gook
    • Journal of Positioning, Navigation, and Timing
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    • v.11 no.1
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    • pp.35-44
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    • 2022
  • In this paper, a dual foot (DF)-PDR system is proposed for the fusion of integration (IA)-based PDR systems independently applied on both shoes. The horizontal positions of the two shoes estimated from each PDR system are fused based on a particle filter. The proposed method bounds the position error even if the walking time increases without an additional sensor. The distribution of particles is a non-Gaussian distribution to express the lateral error due to systematic drift. Assuming that the shoe position is the pedestrian position, the multi-modal position distribution can be fused into one using the Gaussian sum. The fused pedestrian position is used as a measurement of each particle filter so that the position error is corrected. As a result, experimental results show that position of pedestrians can be effectively estimated by using only the inertial sensors attached to both shoes.

Localization Error Recovery Based on Bias Estimation (바이어스추정을 기반으로 한 위치추정의 오차회복)

  • Kim, Yong-Shik;Lee, Jae-Hoon;Kim, Bong-Keun;Ohba, Kohtaro;Ohya, Akihisa
    • The Journal of Korea Robotics Society
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    • v.4 no.2
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    • pp.112-120
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    • 2009
  • In this paper, a localization error recoverymethod based on bias estimation is provided for outdoor localization of mobile robot using different-type sensors. In the previous data integration method with DGPS, it is difficult to localize mobile robot due to multi-path phenomena of DGPS. In this paper, fault data due to multi-path phenomena can be recovered by bias estimation. The proposed data integration method uses a Kalman filter based estimator taking into account a bias estimator and a free-bias estimator. A performance evaluation is shown through an outdoor experiment using mobile robot.

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An explicit time-integration method for damped structural systems

  • Pezeshk, S.;Camp, C.V.
    • Structural Engineering and Mechanics
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    • v.3 no.2
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    • pp.145-162
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    • 1995
  • A damped trapezoidal rule method for numerical time-integration is presented, and its application in analyses of dynamic response of damped structures is discussed. It is shown that the damped trapezoidal rule method has features that make it an attractive approach for applications in dynamic analyses of structures. Accuracy and stability analyses are developed for the damped single-degree-of-freedom systems. Error analyses are also performed for the Newmark beta method and compared with the damped trapezoidal rule method as a basis for discussion of the relative merits of the proposed method. The procedure is fully explicit and easy to implement. However, since the method is an explicit method, it is conditionally stable. The methodology is applied to several example problems to illustrate its strengths, limitations and inherent simplicity.

Improved formulation for a structure-dependent integration method

  • Chang, Shuenn-Yih;Wu, Tsui-Huang;Tran, Ngoc-Cuong
    • Structural Engineering and Mechanics
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    • v.60 no.1
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    • pp.149-162
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    • 2016
  • Structure-dependent integration methods seem promising for structural dynamics applications since they can integrate unconditional stability and explicit formulation together, which can enable the integration methods to save many computational efforts when compared to an implicit method. A newly developed structure-dependent integration method can inherit such numerical properties. However, an unusual overshooting behavior might be experienced as it is used to compute a forced vibration response. The root cause of this inaccuracy is thoroughly explored herein. In addition, a scheme is proposed to modify this family method to overcome this unusual overshooting behavior. In fact, two improved formulations are proposed by adjusting the difference equations. As a result, it is verified that the two improved formulations of the integration methods can effectively overcome the difficulty arising from the inaccurate integration of the steady-state response of a high frequency mode.

A Study on the Dynamic Relationship between Cultural Industry and Economic Growth

  • He, Yugang
    • The Journal of Asian Finance, Economics and Business
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    • v.5 no.4
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    • pp.85-94
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    • 2018
  • The cultural industry is treated as the sunrise industry in modern society. It has taken an increasing role in promoting the economic growth. Due to this, this paper attempts to explore the dynamic relationship between cultural industry and the economic growth. On the grounds of Cobb-Douglas production function, the cultural industry is regarded as a determinant such as the labor input and the capital input to impact the economic growth. Meanwhile, the quarterly datum form 2000-Q1 to 2017-Q4 are employed to perform an empirical analysis via the vector error correction model. The GDP is treated as an independent variable. The input of capital, the input of labor and the total input of cultural industry are treated as dependent variables. Furthermore, a menu of statistical approaches such as the co-integration test and the impulse response function will be used to testify the dynamic relationship between cultural industry and economic growth. Via the Johansen co-integration test, the results report that the cultural industry has a obviously positive effect on economic growth. Through the vector error correction estimation, the results also report that the cultural industry also has a significantly positive effect on economic growth, but less than that of the Johansen co-integration test. This paper provides a view that the cultural industry is a kind of a determinant to promote the economic growth. Therefore, the China's government should pay much attention to the cultural industry construction.

Ready-Made Garments (RMG) Export Earnings and Economic Development of Bangladesh: Empirical Analysis Using Vector Error Correction Model

  • JIBAN, Abul Jannat;BISWAS, Gautam Kumar;YANG, Shaohua
    • The Journal of Asian Finance, Economics and Business
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    • v.9 no.10
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    • pp.29-38
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    • 2022
  • Ready-made Garments (RMG) export earnings, which are almost 80% of the total exports of Bangladesh, have been recognized as one of the main catalysts for the recent development of the country. Therefore, the need to determine whether the RMG export had served as a mechanism for increasing the GDP growth as well as the economic development of the country is topical and pressing. We have applied the Johansen Co-integration test and Vector Error Correction Model (VECM) to reveal the linkage of RMG export earnings and other variables with the GDP growth rate in Bangladesh. Using data from 1990 to 2020 for Bangladesh, we have found long-run as well as short-run associations among RMG Export earnings, Foreign Direct Investment (FDI), and GDP growth. A co-integration among the variables is validated through the Johansen Co-integration test. Moreover, a causal correlation running from RMG export earnings to GDP was revealed by the Granger causality test in the long run. Finally, we estimated impulse response functions to observe the variations of model variables in response to a shock. Our result supports the proposition that RMG export earnings are one of the main growth engines in Bangladesh and this sector leads growth in other sectors also in the long term.