• Title/Summary/Keyword: Angular error

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Observability Analysis of Alignment Errors in GPS/INS

  • Lee Mun Ki;Hong Sinpyo;Lee Man Hyung;Kwon Sun-Hong;Chun Ho-Hwan
    • Journal of Mechanical Science and Technology
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    • v.19 no.6
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    • pp.1253-1267
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    • 2005
  • Misalignment can be an important problem in the integration of GPS/INS. Observability analysis of the alignment errors in the integration of low-grade inertial sensors and multi-antenna GPS is presented in this paper. A control-theoretic approach is adopted to study the observability of time-varying error dynamics models. The relationship between vehicle motions and the observability of the errors in the lever arm and relative attitude between GPS antenna array and IMU is given. It is shown that alignment errors can be made observable through maneuvering. The change of acceleration makes the components of the relative attitude error that are orthogonal to the direction of the acceleration change observable. The change of angular velocity makes the components of the lever arm error that are orthogonal to the direction of the angular velocity observable. The motion of constant angular velocity has no influence on the estimation of the lever arm.

Adaptive Control for the Conventional Mode of Operation of MEMS Gyroscopes

  • Park, Sungsu;Roberto Horowitz
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.39.2-39
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    • 2002
  • This paper presents adaptive add-on control algorithms for theconventional mode of operation of MEMS z-axis gyroscopes. This scheme is realized by adding an outer loop to a conventional force-balancing scheme that includes a parameter estimation algorithm. The parameter adaptation algorithm estimates the angular rate, identifies and compensates the quadrature error, and may permit on-line automatic mode tuning. The convergence and resolution analysis show that the proposed adaptive add-on control scheme prevents the angular rate estimate from being contaminated by the quadrature error, while keeping ideal resolution performance of a conventional force-balancing scheme.

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An hp-angular adaptivity with the discrete ordinates method for Boltzmann transport equation

  • Ni Dai;Bin Zhang;Xinyu Wang;Daogang Lu;Yixue Chen
    • Nuclear Engineering and Technology
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    • v.55 no.2
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    • pp.769-779
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    • 2023
  • This paper describes an hp-angular adaptivity algorithm in the discrete ordinates method for Boltzmann transport applications with strong angular effects. This adaptivity uses discontinuous finite element quadrature sets with different degrees, which updates both angular mesh and the degree of the underlying discontinuous finite element basis functions, allowing different angular local refinement to be applied in space. The regular and goal-based error metrics are considered in this algorithm to locate some regions to be refined. A mapping algorithm derived by moment conservation is developed to pass the angular solution between spatial regions with different quadrature sets. The proposed method is applied to some test problems that demonstrate the ability of this hp-angular adaptivity to resolve complex fluxes with relatively few angular unknowns. Results illustrate that a reduction to approximately 1/50 in quadrature ordinates for a given accuracy compared with uniform angular discretization. This method therefore offers a highly efficient angular adaptivity for investigating difficult particle transport problems.

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.

Experimental Verification on Corrective machining Algorithm of Hydrostatic Table (유정압테이블 수정가공 알고리즘의 실험적 검증)

  • 박천홍;이찬홍;이후상
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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    • pp.425-428
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    • 1997
  • Effectiveness of corrective machining algorithm is verified experimentally in this paper by performing corrective lapping work to single side and double sides hydrostatic tables. Lapping is applied as machining method. Machining information is calculated from measured motion errors by applying the algorithm, without information on rail profile. It is possible to acquire 0.13pm of linear motion error, 1.40arcsec of angular motion error in the case of single side table, and 0.07pm of linear motion error, 1.42arcsec of angular motion error in the case of double sides table. The experiment is performed by the unskilled person after he experienced a little of preliminary machining. Experimental results show that corrective machining algorithm is very effective, and anyone can improve the accuracy of hydrostatic table by using the algorithm.

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Digital holographic memory system using angular multiplexing (각도 다중화를 이용한 디지털 홀로그램의 저장 및 재생에 관한 연구)

  • Kim, Young-Hoon;Yang, Byung-Choon;Lee, Byoung-Ho;Park, Joo-Youn
    • Proceedings of the KIEE Conference
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    • 1998.11c
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    • pp.984-986
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    • 1998
  • The volume holographic memory system suffers from the crosstalk noise. We study use of error correction coding(ECC) and angular multiplexing for digital holographic memory(DHM) system. The analog image is encoded to binary images by ECC. Binary images are stored using angular multiplexing in DHM. The retrieved binary images are decoded by ECC. The bit error-rate is measured for perspective of the DHM system.

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Nonlinear Observer Design for Satellite Angular Rate Estimation by SDRE Method (SDRE 기법을 이용한 위성 각속도 추정용 비선형 관측기 설계)

  • Jin, Jaehyun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.42 no.10
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    • pp.816-822
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    • 2014
  • The estimation of the angular rate of a satellite has been discussed. A nonlinear observer has been proposed based on the state-dependent Riccati equation method. A sufficient stability condition for the convergence of estimation error has been presented. This condition is related to a state-dependent algebraic Riccati equation. It has been derived by transforming nonlinear error dynamics into a Lipschitz nonlinearity. An observer gain is obtained from this condition. Numerical simulations are presented to verify the proposed method.

Quantification of Angular Prediction Accuracy for Phased Array Radar Tracking (위상배열레이더 추적 각도예측의 정확도 정량화)

  • Hong, Sun-Mog
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.49 no.1
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    • pp.74-79
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    • 2012
  • Scalar quantification of the angular prediction error covariance matrix is considered for characterizing tracking performances in phased array radar tracking. Specifically, the maximum eigenvalue and the trace of the covariance matrix are examined in terms of consistency in parameterizing the probability of detection, taking antenna beam-pointing losses into account, and it is shown numerically that the latter is more consistent.

Angular Self-Sensing Algorithm of Lorentz Force Type Integrated Motor-Bearing System (로렌츠형 자기베어링 내장 전동기의 회전각 추정기)

  • Jeon, Han-Wook;Park, Sung-Ho;Park, Young-Jin;Lee, Chong-Won
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.852-857
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    • 2004
  • In this paper, an angular self-sensing algorithm is proposed and implemented to a Lorentz force type integrated motor-bearing system. It is based on the principle that the flux linkages of stator windings, calculated from the voltage and torque control current, are the functions of the rotor angle. The tracking angular position error is proven to vanish using the Lyapunov stability method, and the experimental results show that the initial error decays within about 5 seconds. It is found that the resolution of the algorithm remains about 1º over the speed range of 100 to 1000 rpm.

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