• Title/Summary/Keyword: Error Estimates

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A Nonlinear Observer for the Estimation of the Full State of a Sawyer Motor (평판 모터 상태 관측을 위한 비선형 관측기)

  • Kim, Won-Hee;Chung, Chung-Choo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.12
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    • pp.2292-2297
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    • 2010
  • To improve the performances of Sawyer motors and to regulate yaw rotation, various feedback control methods have been developed. Almost all of these methods require information on the position, velocity or full state of the motor. Therefore, in this paper, a nonlinear observer is designed to estimate the full state of the four forcers in a Sawyer motor. The proposed method estimates the full state using only positional feedback. Generally, Sawyer motors are operated within a yaw magnitude of several degrees; outside of this range, Sawyer motors step out. Therefore, this observer design assumes that the yaw is within ${\pm}90^\b{o}$. The convergence of the estimation error is proven using the Lyapunov method. The proposed observer guarantees that the estimation error globally exponentially converges to zero for all arbitrary initial conditions. Furthermore, since the proposed observer does not require any transformation, it may result in a reduction in the commutation delay. The simulation results show the performance of the proposed observer.

Improved Single-Tone Frequency Estimation by Averaging and Weighted Linear Prediction

  • So, Hing Cheung;Liu, Hongqing
    • ETRI Journal
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    • v.33 no.1
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    • pp.27-31
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    • 2011
  • This paper addresses estimating the frequency of a cisoid in the presence of white Gaussian noise, which has numerous applications in communications, radar, sonar, and instrumentation and measurement. Due to the nonlinear nature of the frequency estimation problem, there is threshold effect, that is, large error estimates or outliers will occur at sufficiently low signal-to-noise ratio (SNR) conditions. Utilizing the ideas of averaging to increase SNR and weighted linear prediction, an optimal frequency estimator with smaller threshold SNR is developed. Computer simulations are included to compare its mean square error performance with that of the maximum likelihood (ML) estimator, improved weighted phase averager, generalized weighted linear predictor, and single weighted sample correlator as well as Cramer-Rao lower bound. In particular, with smaller computational requirement, the proposed estimator can achieve the same threshold and estimation performance of the ML method.

A study on the parameter estimation of S-Shaped Software Reliability Growth Models Using SAS JMP (SAS JMP를 이용한 S형 소프트웨어 신뢰도 성장모델에서의 모수 추정에 관한 연구)

  • 문숙경
    • Journal of Korean Society for Quality Management
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    • v.26 no.3
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    • pp.130-140
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    • 1998
  • Studies present a guide to parameter estimation of software reliability models using SAS JMP. In this paper, we consider only software reliability growth model(SRGM), where mean value function has a S-shaped growth curve, such as Yamada et al. model, and ohba inflection model. Besides these stochastic SRGM, deterministic SRGM's, by fitting Logistic and Gompertz growth curve, have been widely used to estimate the error content of software systems. Introductions or guide lines of JMP are concerned. Estimation of parameters of Yamada et al. model and Logistic model is accomplished by using JMP. The differences between Yamada et al. model and Logistic model is accomplished by using JMP. The differences between Yamada et al. model and Logistic model is discussed, along with the variability in the estimates or error sum of squares. This paper have shown that JMP can be an effective tool I these research.

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An Extended Scalar Adaptive Filter for Mitigating Sudden Abnormal Signals of Guided Missile

  • Lim, Jun-Kyu;Park, Chan-Gook
    • International Journal of Aeronautical and Space Sciences
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    • v.12 no.1
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    • pp.37-42
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    • 2011
  • An extended scalar adaptive filter for guided missiles using a global positioning system receiver is presented. A conventional scalar adaptive filter is adequate filter for eliminating sudden abnormal jumping measurements. However, if missile or vehicle velocities have variation, the conventional filter cannot eliminate abnormal measurements. The proposed filter utilizes an acceleration term, which is an improvement not used in previous conventional scalar adaptive filters. The proposed filter continuously estimates noise measurement variance, velocity error variance and acceleration error variance. For estimating the three variances, an innovation method was used in combination with the least square method for the three variances. Results from the simulations indicated that the proposed filter exhibited better position accuracy than the conventional scalar adaptive filter.

ZERO-DENSITY ESTIMATES FOR EPSTEIN ZETA FUNCTIONS OF CLASS NUMBERS 2 OR 3

  • Lee, Yoonbok
    • Journal of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.479-491
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    • 2017
  • We investigate the zeros of Epstein zeta functions associated with positive definite quadratic forms with rational coefficients in the vertical strip ${\sigma}_1$ < ${\Re}s$ < ${\sigma}_2$, where 1/2 < ${\sigma}_1$ < ${\sigma}_2$ < 1. When the class number h of the quadratic form is bigger than 1, Voronin gave a lower bound and Lee gave an asymptotic formula for the number of zeros. Recently Gonek and Lee improved their results by providing a new upper bound for the error term when h > 3. In this paper, we consider the cases h = 2, 3 and provide an upper bound for the error term, smaller than the one for the case h > 3.

Performance Degradation of OFDM System owing to Channel Estimation Error (채널 추정 에러로 인한 OFDM 시스템의 성능 열화)

  • 최승국
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.8 no.5
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    • pp.983-987
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    • 2004
  • Pilot symbol assisted modulation (PSAM) can be used for the channel estimation. However, imperfect channel estimates degrade the bit error rate (BER) performance. I derive the exact BER of 16-level quadrature amplitude modulated (16-QAM) orthogonal frequency division multiplexing (OFDM) systems with PSAM in time dispersive Rayleigh fading channels. In real system, there is 2.5 dB penalty in $\overline{\gamma_b}$for the same BER relative to ideal system with perfect channel estimation.

Linear versus Non-linear Interference Cancellation

  • Buehrer, R.Michael;Nicoloso, Steven P.;Gollamudi, Sridhar
    • Journal of Communications and Networks
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    • v.1 no.2
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    • pp.118-133
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    • 1999
  • In this paper we compare linear and non-linear inter-ference cancellation for systems employing code division multi-ple access (CDMA) techniques. Specifically, we examine linear and non-linear parallel interference cancellation(also called multi-stage cancellation) in relationship to other multiuser detection al-gorithms. We show the explicit relationship between parallel inter-ference cancellation and the decorrelator (or direct matrix inver-sion). This comparison gives insight into the performance of paral-lel interference cancellation (PIC) and leads to vetter approaches. We also show that non-linear PIC approaches with explicit chan-nel setimation can provide performance improvement over linear PIC, especially when using soft non-linear symbol estimates. The application of interference cancellation to non-linear modulation techniques is also presented along with a discussion on minimum mean-squared error(MMSE) symbol estimation techniques. These are shown to further improve the performance of parallel cancella-tion.

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Optimum Superimposed Training for Mobile OFDM Systems

  • Yang, Qinghai;Kwak, Kyung-Sup
    • Journal of Communications and Networks
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    • v.11 no.1
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    • pp.42-46
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    • 2009
  • Superimposed training (SIT) design for estimating of time-varying multipath channels is investigated for mobile orthogonal frequency division multiplexing (OFDM) systems. The design of optimum SIT consists of two parts: The optimal SIT sequence is derived by minimizing the channel estimates' mean square error (MSE); the optimal power allocation between training and information data is developed by maximizing the averaged signal to interference plus noise ratio (SINR) under the condition of equal powered paths. The theoretical analysis is verified by simulations. For the metric of the averaged SINR against signal to noise ratio (SNR), the theoretical result matches the simulation result perfectly. In contrast to an interpolated frequency-multiplexing training (FMT) scheme or an SIT scheme with random pilot sequence, the SIT scheme with proposed optimal sequence achieves higher SINR. The analytical solution of the optimal power allocation is demonstrated by the simulation as well.

A study of observability enhancement by matching methods at sea (혼합정합 전달정렬시 해상항체의 가관측성 향상조건에 관한 연구)

  • 김경주;고영웅;박찬웅
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.867-870
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    • 1996
  • Often an INS has to be aligned in navigation. In these cases it is necessary to obtain some reference information on the state of the aligned INS(Slave) such as its position, its velocity of its angular rate. Usually the reference information is velocity which is supplied by another reference INS. In the alignment state the velocity computed by the reference INS(Master) is compared with that computed by the slave INS and the difference which is indicative of the slave misalignment with respect to the master, is processed by a Kalman filter which estimates misalignment as well as the slave gyro and accelerometer error states. The operation of aligning a slave INS with a master INS comparing quantities computed by both INS is known as transfer alignment. The delivery vehicle performs error these maneuvers enable the TA Kalman filter to separate between the tilt errors and the accelerometer biases which otherwise are unobservable. The basic objective this paper is to study the observability enhancement by ship's maneuvering and matching methods during transfer alignment at sea.

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A Study on Odometry Error Compensation using Multisensor fusion for Mobile Robot Navigation (멀티센서 융합을 이용한 자율이동로봇의 주행기록계 에러 보상에 관한 연구)

  • Song, Sin-Woo;Park, Mun-Soo;Hong, Suk-Kyo
    • Proceedings of the KIEE Conference
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    • 2001.11c
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    • pp.288-291
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    • 2001
  • This paper present effective odometry error compensation using multisensor fusion for the accurate positioning of mobile robot in navigation. During obstacle avoidance and wall following of mobile robot, position estimates obtained by odometry become unrealistic and useless because of its accumulated errors. To measure the position and heading direction of mobile robot accurately, odometry sensor a gyroscope and an azimuth sensor are mounted on mobile robot and Complementary-filter is designed and implemented in order to compensate complementary drawback of each sensor and fuse their information. The experimental results show that the multisensor fusion system is more accurate than odometry only in estimation of the position and direction of mobile robot.

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