• Title/Summary/Keyword: Error of Convergence

Search Result 1,941, Processing Time 0.032 seconds

Error convergence speed of the adaptive algorithm (적응 알고리즘의 오차 수렴속도와 수렴성)

  • 김종수;배준경;박종국
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1986.10a
    • /
    • pp.83-85
    • /
    • 1986
  • The error differential equations which are derived by using the first error model are uniformly asymptotial stable if the input is bounded and sufficiently rich. In the adaptive control, the speed of convergence of system output or parameter error in such cases is of both practical and theoretical interest. In this paper, the adaptive algorithms(Gradient algorithm, Intergral algorithm) are discussed from the point of view of speed convergence and the modification of adaptive law for prohibition of overadaptation is discussed. The result is compared among this algorithms and the adaptive gain is choosed by this result(the speed of convergence).

  • PDF

ON EXACT CONVERGENCE RATE OF STRONG NUMERICAL SCHEMES FOR STOCHASTIC DIFFERENTIAL EQUATIONS

  • Nam, Dou-Gu
    • Bulletin of the Korean Mathematical Society
    • /
    • v.44 no.1
    • /
    • pp.125-130
    • /
    • 2007
  • We propose a simple and intuitive method to derive the exact convergence rate of global $L_{2}-norm$ error for strong numerical approximation of stochastic differential equations the result of which has been reported by Hofmann and $M{\"u}ller-Gronbach\;(2004)$. We conclude that any strong numerical scheme of order ${\gamma}\;>\;1/2$ has the same optimal convergence rate for this error. The method clearly reveals the structure of global $L_{2}-norm$ error and is similarly applicable for evaluating the convergence rate of global uniform approximations.

Analysis of Human Error Influencing Factor Using SEM (Structural Equation Modeling) (구조방정식모형을 이용한 휴먼에러 영향요인 분석)

  • Joo, Youngjong;Oh, Jun;Jung, TaeHoi;Kim, Byungjik;Park, Kyoshik
    • Journal of the Korean Society of Safety
    • /
    • v.36 no.3
    • /
    • pp.60-65
    • /
    • 2021
  • Human error is often in part in the cause of accidents and the result of various factors in an organization. Accidents should be investigated to elucidate all causes. Therefore, to reduce accidents, it is necessary to identify which factors affect human error within the organization. In this study, five groups of influencing factors on human error were selected using previousresearch, and operational definitions were made based on them. In addition, a questionnaire for measuring latent variables by operational definition was developed as an observation variable, and responses were received from employees of chemical companies in Ulsan. Based on SEM (structural equation modeling) analysis, 1) confirmatory factor analysis of variables in the human error model, 2) reliability and validity of latent variables, 3) correlations among latent variables, 4) influencing coefficients among influence factors, and 5) the verification results of the paths that these influencing factors have on human error are introduced in this study.

Study on Iterative Learning Controller with a Delayed Output Feedback

  • Lee, Hak-Sung
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2001.10a
    • /
    • pp.176.4-176
    • /
    • 2001
  • In this paper, a novel type of iterative learning controller is studied. The proposed learning algorithm utilizes not only the error signal of the previous iteration but also the delayed error signal of the current iteration. The delayed error signal is adopted to improve the convergence speed. The convergence condition is examined and the result shows that the proposed learning algorithm shows the fast convergence speed under the same convergence condition of the traditional iterative learning algorithm. The simulation examples are presented to confirm the validity of the proposed ILC algorithm.

  • PDF

Convergence of the Filtered-x Least Mean Fourth Algorithm for Active Noise Control (능동 소음 제어를 위한 Filtered-x 최소 평균 네제곱 알고리듬의 수렴분석)

  • 이강승
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.12 no.8
    • /
    • pp.616-625
    • /
    • 2002
  • In this paper, we drove the filtered-x least mean fourth (FXLMF) algorithm where the error raised to the power of four is minimized and analyzed its convergence behavior for a multiple sinusoidal acoustic noise and Gaussian measurement noise. The application of the FXLMF adaptive filter to active noise control requires to estimate the transfer characteristics of the acoustic path between the output and the error signal of the adaptive controller. The results of the convergence analysis of the FXLMF algorithm indicate that the effects of the parameter estimation inaccuracy on the convergence behavior of the algorithm are characterized by two distinct components phase estimation error and estimated gain. In particular, the convergence is shown to be strongly affected by the accuracy of the phase response estimate. Also, we newly show that the convergence behavior can differ depending on the relative sizes of the Gaussian noise and the convergence constant.

Structural Convergence Improvement Schemes on Adaptive Control Redesigning a Lyapunov's Function (Lyapunov 함수를 재설계한 적응제어외의 구조적 수렴향상 방법에 대한 연구)

  • Kang, Hoon
    • Journal of the Korean Institute of Telematics and Electronics
    • /
    • v.26 no.1
    • /
    • pp.1-9
    • /
    • 1989
  • The convergence analysis of adavtive control schemes has been studied over the past decades, but the importance of structure to fast conversgece of adaptive control systems is still a controversial issue. This paper deals with the relative improvement of the exponential rate of convergence in adaptive error models. The Lyapunov's direct method is applied to adaptive control systems in order to improve the convergence rate by modifying the feedback structure of the error systems. Some simulation examples are illustrated to show fast convergence and robustness of these schemes.

  • PDF

The Filtered-x Least Mean Fourth Algorithm for Active Noise Control and Its Convergence Analysis

  • Lee, Kang-Seung;Youn, Dae-Hee
    • The Journal of the Acoustical Society of Korea
    • /
    • v.15 no.3E
    • /
    • pp.66-73
    • /
    • 1996
  • In this paper, we propose the filtered-x least mean fourth (LMF) algorithm where the error raised to the power of four is minimized and analyze its convergence behavior for a multiple sinusoidal acoustic noise and Gaussian measurement noise. Application of the filtered-x LMF adaptive filter to active noise control(ANC) requires estimating of the transfer characteristic of the acoustic path between the output and error signal of the adaptive controller. The results of the convergence analysis of the filtered-x LMF algorithm indicates that the effects of the parameter estimation inaccuracy on the convergence behavior of the algorithm are characterized by two distinct components : Phase estimation error and estimated gain. In particular, the convergence is shown to be strongly affected by the accuracy of the phase response estimate. Also, we newly show that convergence behavior can differ depending on the relative sizes of the Gaussian measurement noise and convergence constant.

  • PDF

The Filtered-x Least Mean Fourth Algorithm for Active Noise Cancellation and Its Convergence Behavior

  • Lee, Kang-Seung
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.26 no.12A
    • /
    • pp.2050-2058
    • /
    • 2001
  • In this paper, we propose the filtered-x least mean fourth (LMF) algorithm where the error raised to the power of four is minimized and analyze its convergence behavior for a multiple sinusoidal acoustic noise and Gaussian measurement noise. Application of the filtered-x LMF adaptive filter to active noise cancellation (ANC) requires estimating of the transfer characteristic of the acoustic path between the output and error signal of the adaptive controller. The results of 7he convergence analysis of the filtered-x LMF algorithm indicates that the effects of the parameter estimation inaccuracy on the convergence behavior of the algorithm are characterized by two distinct components : Phase estimation error and estimated gain. In particular, the convergence is shown to be strongly affected by the accuracy of the phase response estimate. Also, we newly show that convergence behavior can differ depending on the relative sizes of the Gaussian measurement noise and convergence constant.

  • PDF

Convergence Analysis of a Filtered-x Least Mean Fourth Active Noise Controller (Filtered-x 최소평균사승 능동 소음 제어기 수렴분석)

  • 이강승
    • Proceedings of the Acoustical Society of Korea Conference
    • /
    • 1998.06d
    • /
    • pp.80-83
    • /
    • 1998
  • In this paper, we propose a new filtered-x least mean fouth (LMF) algorithm where the error raised to the power of four is minimized and analyze its convergence behavior or a multiple sinusoidal acoustic noise and Gaussian measurement noise. Application of the filtered-x LMF adaptive filter to active noise cancellation (ANC) requires estimating of the transfer characteristic of the acoustic path between the ouput and error signal of the adaptive canceller. The results of the convergence analysis of the filtered-x LMF algorithm indicates that the effects of the parameter estimation inaccuracy on the convergence behavior of the algorithm are characterized by two distinct component . Phase estimation error and estimated again. In particular , the convergence is shown to be strongly affected by the accuracy of the phase response estimate. Also, we newly show that convergence behavior can differ depending on the relative sizes of the Gaussian measurement noise and convergence constant.

  • PDF

The Filtered-x Least Mean Fourth Algorithm for Active Noise Control and Its Convergence Analysis (능동 소음 제어를 위한 Filtered-x 최소평균사승 알고리듬 및 수렴 특성에 관한 연구)

  • 이강승;이재천;윤대희
    • Journal of the Korean Institute of Telematics and Electronics B
    • /
    • v.32B no.11
    • /
    • pp.1506-1516
    • /
    • 1995
  • In this paper, we propose the filtered-x least mean fourth (FXLMF) algorithm where the error raised to the power of four is minimized and analyze its convergence behavior for a multiple sinusoidal acoustic noise and Gaussian measurement noise. Application of the FXLMF adaptive filter to active noise control requires to estimate the transfer characteristics of the acoustic path between the output and the error signal of the adaptive controller. The results of the convergence analysis of the FXLMF algorithm indicate that the effects of the parameter estimation inaccuracy on the convergence behavior of the algorithm are characterized by two distinct components : Phase estimation error and estimated gain. In particular, the convergence is shown to be strongly affected by the accuracy of the phase response estimate. Also, we newly show that the convergence behavior can differ depending on the relative sizes of the Gaussian noise and the convergence constant.

  • PDF