• Title/Summary/Keyword: Error Dynamics

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Error Estimation and Adaptive Time Stepping Procedure for Structural Dynamics (구조동역학에서의 오차 추정과 시간간격 제어 알고리즘)

  • 장인식
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.4
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    • pp.190-200
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    • 1996
  • Step-by-step time integration methods are widely used for solving structural dynamics problem. One difficult yet critical choice an analyst must make is to decide an appropriate time step size. The choice of time step size has a significant effect on solution accuracy and computational expense. The objective of this research is to derive error estimate for newly developed time integration method and develop automatic time step size control algorithm for structural dynamics. A formula for computing error tolerance is derived based on desired period resolution. An automatic time step size control strategy is proposed based on a normalized local error estimate for the generalized-α method. Numerical examples demonstrate the developed strategy satisfies general design criteria for time step size control algorithm for dynamic problem.

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The simulation of INS error due to gimbal servo dynamics (김블 서어보 다이나믹스에 의한 INS 오차 시뮬레이션)

  • 김현백;정태호;오문수
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.281-285
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    • 1986
  • In this paper, the characteristics of disturbance torque of gimbal servo dynamics are studied, and the simulation methods of gimbal servo dynamics and INS error due to angular rate and linear acceleration of vehicle are proposed. In results of the simulation for a specific INS, it is estimated that INS velocity error due to gimbal servo dynamics is nearly proportional to square of vehicle acceleration.

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Dynamics of Register error on Compensator Roll type Converting Machines (보상롤 타입 컨버팅 머신의 레지스터 에러 동특성 해석)

  • Kim J.I.;Kang H.K.;Shin K.H.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2006.05a
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    • pp.325-326
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    • 2006
  • Recently, it is concentrated on productivity improvement in high speed operation by converting industries. Register error is becoming the one of the most issued problem. Moreover register control is the key to product flexible displays through roll-to-roll systems. This paper presents a derivation of register error modeling. And the dynamics of register error is simulated under various conditions. Register error is affected by both roll velocity and tension between the front and back span. And dynamics of register error is to be an interaction in succeeding spans.

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An Automatic Time Stepping Algorithm Using a Prior Error Estimator in Structural Dynamics (구조동역학 문제에서 전단계 오차추정치를 이용한 자동시간간격 조정 알고리듬)

  • 조은형;정진태
    • Journal of KSNVE
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    • v.9 no.6
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    • pp.1240-1246
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    • 1999
  • A prior error estimator which is solving structural dynamic problems and which is based on the generalized-method, is developed. Since the proposed error estimator is computed with only previous information, the time step size can be adaptively selected without the feedback mechanism. This paper shows that the automatic time stepping algorithm using the error estimator performs an efficient time integration. To verify its efficiency, several examples are numerically investigated.

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Intelligent Predictive Control of Time-Varying Dynamic Systems with Unknown Structures Using Neural Networks (신경회로망에 의한 미지의 구조를 가진 시변동적시스템의 지능적 예측제어)

  • Oh, S.J
    • Journal of Advanced Marine Engineering and Technology
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    • v.20 no.3
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    • pp.286-286
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    • 1996
  • A neural predictive tracking system for the control of structure-unknown dynamic system is presented. The control system comprises a neural network modelling mechanism for the the forward and inverse dynamics of a plant to be controlled, a feedforward controller, feedback controller, and an error prediction mechanism. The feedforward controller, a neural network model of the inverse dynamics, generates feedforward control signal to the plant. The feedback control signal is produced by the error prediction mechanism. The error predictor adopts the neural network models of the forward and inverse dynamics. Simulation results are presented to demonstrate the applicability of the proposed scheme to predictive tracking control problems.

Intelligent Predictive Control of Time-Varying Dynamic Systems with Unknown Structures Using Neural Networks (신경회로망에 의한 미지의 구조를 가진 시변동적시스템의 지능적 예측제어)

  • Oh, Se-Joon
    • Journal of Advanced Marine Engineering and Technology
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    • v.20 no.3
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    • pp.154-161
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    • 1996
  • A neural predictive tracking system for the control of structure-unknown dynamic system is presented. The control system comprises a neural network modelling mechanism for the the forward and inverse dynamics of a plant to be controlled, a feedforward controller, feedback controller, and an error prediction mechanism. The feedforward controller, a neural network model of the inverse dynamics, generates feedforward control signal to the plant. The feedback control signal is produced by the error prediction mechanism. The error predictor adopts the neural network models of the forward and inverse dynamics. Simulation results are presented to demonstrate the applicability of the proposed scheme to predictive tracking control problems.

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Novel Model Following Sliding Mode Controller with Virtual State (새로운 모델 추종 슬라이딩 모드 제어기)

  • Park, Seung-Kyu;Ok, In-Jo;Ahn, Ho-Kyun
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2669-2671
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    • 2000
  • In this paper, a new model error following sliding mode control is considered with a novel sliding surface for the error. This novel sliding surface has nominal dynamics of an original state of the error system and makes it possible that the Sliding Mode Control(SMC) technique for the error of the model following is used with the various types of controllers. Its design is based on the augmented system whose dynamics have a higher order than that of the original error system. The reaching phase is removed by using an initial virtual state which makes the initial error state sliding function equal to zero.

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Derivation of Attitude Error Differential Equations by Platform Torque Commands (플랫폼 토크 명령에 의한 자세오차 미분방정식 유도)

  • 김갑진;송기원
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.7
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    • pp.556-562
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    • 2003
  • This paper presents new attitude error differential equations to define attitude errors as the rotation vector for inertial navigation systems. Attitude errors are defined with the rotation vector between the reference coordinate frame and the platform coordinate frame, and Platform dynamics to the reference coordinate frame due to platform torque command errors are defined. Using these concepts for attitude error definition and platform dynamics, we have derived attitude error differential equations expressed in original nonlinear form for GINS and SDINS and showed that these are equivalent to attitude error differential equations expressed in known linear form. The relation between attitude errors defined by the rotation vector and attitude errors defined by quaternion is clearly presented as well.

PID Learning Controller for Multivariable System with Dynamic Friction (동적 마찰이 있는 다변수 시스템에서의 PID 학습 제어)

  • Chung, Byeong-Mook
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.12
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    • pp.57-64
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    • 2007
  • There have been many researches for optimal controllers in multivariable systems, and they generally use accurate linear models of the plant dynamics. Real systems, however, contain nonlinearities and high-order dynamics that may be difficult to model using conventional techniques. Therefore, it is necessary a PID gain tuning method without explicit modeling for the multivariable plant dynamics. The PID tuning method utilizes the sign of Jacobian and gradient descent techniques to iteratively reduce the error-related objective function. This paper, especially, focuses on the role of I-controller when there is a steady state error. However, it is not easy to tune I-gain unlike P- and D-gain because I-controller is mainly operated in the steady state. Simulations for an overhead crane system with dynamic friction show that the proposed PID-LC algorithm improves controller performance, even in the steady state error.

Speed Control of DC Motors Using Inverse Dynamics (역동력학을 이용한 DC 모터의 속도제어)

  • 김병만;손영득;하윤수
    • Journal of Advanced Marine Engineering and Technology
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    • v.24 no.5
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    • pp.97-102
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    • 2000
  • In this paper, a methodology for designing a controller based on inverse dynamics for speed control of DC motors is presented. The proposed controller consists of a prefilter, the inverse dynamic model of a system and the PI controller. The prefilter prevents high frequency effects from the inverse dynamic model. The model of the system in characterized by a nonlinear equation with coulomb friction. The PI controller regulates the error between the set-point and the system output which may be caused by modeling error, variations of parameters and disturbances. The output which may be caused by modeling error, variations of parameters and disturbances. The parameters of the model and the PI controller are adjusted offlinely by a genetic algorithm. An experimental work on a DC motor system is carried out to illustrate the performance of the proposed controller.

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