• Title/Summary/Keyword: Error Matrix

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On-Machine Measurement of Sculptured Surfaces Based on CAD/CAM/CAI Integration : I. Measurement Error Modeling (CAD/CAM/CAI 통합에 기초한 자유곡면의 On-Machine Measurement : I. 측정오차 모델링)

  • Cho, Myeong-Woo;Lee, Se-Hee;Seo, Tae-Il
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.10
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    • pp.172-181
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    • 1999
  • The objective of this research is to develop a measurement error model for sculptured surfaces in On-Machine Measurement (OMM) process based on a closed-loop configuration. The geometric error model of each axis of a vertical CNC Machining center is derived using a 4${\times}$4 homogeneous transformation matrix. The ideal locations of a touch-type probe for the scupltured surface measurement are calculated from the parametric surface representation and X-, Y- directional geometric errors of the machine. Also, the actual coordinates of the probe are calculated by considering the pre-travel variation of a probe and Z-directional geometric errors. Then, the step-by-step measurement error analysis method is suggested based on a closed-loop configuration of the machining center including workpiece and probe errors. The simulation study shows the simplicity and effectiveness of the proposed error modeling strategy.

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Robust Reduced Order State Observer for Lipschitz Nonlinear Systems (Lipschitz 비선형 시스템의 강인 저차 상태 관측기)

  • Lee, Sung-Ryul
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.8
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    • pp.837-841
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    • 2008
  • This paper presents a robust reduced order state observer for a class of Lipschitz nonlinear systems with external disturbance. Sufficient conditions on the existence of the proposed observer are characterized by linear matrix inequalities. It is also shown that the proposed observer design can reduce the effect on the estimation error of external disturbance up to the prescribed level. Finally, a numerical example is provided to verify the proposed design method.

ROBUST ADAPTIVE CONTROLLER FOR ROBOT MANIPULATOR CONTROL (로보트 매니플레이터를 위한 강인한 제어기 설계에 관한 연구)

  • Ryoo, Kgi-Wung;Hong, Suk-Kyo
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.456-461
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    • 1989
  • In this paper, the robust adaptive controller for the accurate position control of the robot manipulator in discribed. The proposed controller has feedforward and feedback terms. To reduced the cumputation time, the inertia matrix is simlipied by diagonal matrix and the centrifugal and Colioris term and gravity term are assumed to be zero. The auxiliary signal is added in the controller. This signal improve convergence time of error. The simulation results show that the proposed method is applied to the real time control.

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I.A New Family of Orthogonl Transforms: Derivation based on the Parametric Sinusoidal Matrix (I. 새로운 직교 변환군 : 매개변수형 삼각함수 행렬에 의한 유도)

  • Park, Tae-Young
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.1
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    • pp.159-166
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    • 1987
  • A new family of sinusoidal orthogoal trnasform is introduced. For a derivation, a parametric sinusoidal matrix whose transform might be implemented by a suitable FFT algorithm is modeled basically on the analogy of well-known sinusoidal transform such as DCT,SCT, etc., and its orthogonality condition is calculated. The parameters satisfying orthogonality condition are determined, in a sense, by particular solution after trial and error. However more than then transform matrices not yet known are obtained. It is also shown that these transforms can be computed by a DFT. of an image.

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A study on the detection threshold for multitarget tracking (다중표적 추적을 위한 표적 탐지 임계값에 대한 연구)

  • 이양원;이봉기;김광태;김경기
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.834-838
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    • 1992
  • Tracking performance depends on the quantity of the measurement data. In the Kalman-Bucy filter and other trackers, this dependence is well understood in terms of the measurement noise covariance matrix, which specifies the uncertainty in the value of measurement inputs. In this paper, we derived approximated error covariance matrix to evaluate the dependence of target detection probability and false alarm probability in the presence of uncertainty of measurement origin.

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ON THE NUMERICAL SOLUTIONS OF INTEGRAL EQUATION OF MIXED TYPE

  • Abdou, Mohamed A.;Mohamed, Khamis I.
    • Journal of applied mathematics & informatics
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    • v.12 no.1_2
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    • pp.165-182
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    • 2003
  • Toeplitz matrix method and the product Nystrom method are described for mixed Fredholm-Volterra singular integral equation of the second kind with Carleman Kernel and logarithmic kernel. The results are compared with the exact solution of the integral equation. The error of each method is calculated.

A Note on the Asymptotic Property of S2 in Linear Regression Model with Correlated Errors

  • Lee, Seung-Chun
    • Communications for Statistical Applications and Methods
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    • v.10 no.1
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    • pp.233-237
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    • 2003
  • An asymptotic property of the ordinary least squares estimator of the disturbance variance is considered in the regression model with correlated errors. It is shown that the convergence in probability of S$^2$ is equivalent to the asymptotic unbiasedness. Beyond the assumption on the design matrix or the variance-covariance matrix of disturbances error, the result is quite general and simplify the earlier results.

On the Optimal Decision making by the AHP (AHP를 이용한 최적 의사결정에 관한 연구)

  • Chung, Soon-Suk
    • Proceedings of the Safety Management and Science Conference
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    • 2006.11a
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    • pp.427-435
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    • 2006
  • We study on the consistency of AHP. It is research that extend of SAW methods by [1]. For tools that measure judgment of inconsistency eigenvector methods, we research consistency that introduced consistency ratio by Saaty. in general, the higher consistence of compare matrix the bigger error within matrix. In this paper, we use the AHP for the optimal decision making. By this method, we have optimal decision making numenical example which three models of any domestic motors companies.

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SDINS Closed Loop Self-Alignment Algorithm using Pseudo Initial Position (가상의 초기위치를 이용한 SDINS 폐루프 자체 정렬 알고리즘)

  • Kim, Taewon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.45 no.6
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    • pp.463-472
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    • 2017
  • Inertial Navigation System Alignment is the process to determine direction cosine matrix which is the transformation matrix between the INS body frame and navigation frame. INS initial position value is necessary to INS attitude calculation, so that user should wait until he get such value to start the INS alignment. To remove the waiting time, we propose an alignment algorithm that immediately starts after the INS power on by using pseudo initial position input and then is completed with attitude error compensation by entering true position later. We analyse effect of INS sensor error on attitude in process of time and verify the performance and usefulness of the close-loop alignment algorithm which corrects attitude error from the change of initial position.

Analysis System for Practical Dynamic Load with Hybrid Method under Random Frequency Vibration (불규칙 가진시 하이브리드기법을 이용한 실동하중 해석시스템)

  • Song, Joon-Hyuk;Yang, Sung-Mo;Kang, Hee-Yong;Yu, Hyo-Sun
    • Transactions of the Korean Society of Automotive Engineers
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    • v.16 no.6
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    • pp.33-38
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    • 2008
  • Most structures of vehicle are composed of many substructures connected to one another by various types of mechanical joints. In vehicle engineering, it is important to study these jointed structures under random frequency vibration for the evaluations of fatigue life and stress concentration exactly. It is rarely obtained the accurate load history of specified positions in a jointed structure because of the errors such as modeling, measurement, and etc. In the beginning of design, exact load data are actually necessary for the fatigue strength and life analysis to minimize the cost and time of designing. In this paper, the hybrid method of practical dynamic load determination is developed by the combination of the principal stresses from F. E. Analysis and test of a jointed structure. Least square pseudo inverse matrix is adopted to obtain an inverse matrix of analyzed stresses matrix. The error minimization method utilizes the inaccurate measured error and the shifting error that the whole data is stiffed over real data. The least square criterion is adopted to avoid these errors. Finally, to verify the proposed system, a heavy-duty bus is analyzed. This measurement and prediction technology can be extended to the different jointed structures.