• 제목/요약/키워드: stability and error estimate

검색결과 77건 처리시간 0.023초

ERROR ESTIMATES OF NONSTANDARD FINITE DIFFERENCE SCHEMES FOR GENERALIZED CAHN-HILLIARD AND KURAMOTO-SIVASHINSKY EQUATIONS

  • Choo, Sang-Mok;Chung, Sang-Kwon;Lee, Yoon-Ju
    • 대한수학회지
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    • 제42권6호
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    • pp.1121-1136
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    • 2005
  • Nonstandard finite difference schemes are considered for a generalization of the Cahn-Hilliard equation with Neumann boundary conditions and the Kuramoto-Sivashinsky equation with periodic boundary conditions, which are of the type $$U_t\;+\;\frac{{\partial}^2}{{\partial}x^2} g(u,\;U_x,\;U_{xx})\;=\;\frac{{\partial}^{\alpha}}{{\partial}x^{\alpha}}f(u,\;u_x),\;{\alpha}\;=\;0,\;1,\;2$$. Stability and error estimate of approximate solutions for the corresponding schemes are obtained using the extended Lax-Richtmyer equivalence theorem. Three examples are provided to apply the nonstandard finite difference schemes.

유도기 서보모터 시스템의 적응 고차 신경망 제어 (Adaptive High-Order Neural Network Control of Induction Servomotor System)

  • 김도우;정기철;이승학
    • 대한전기학회논문지:시스템및제어부문D
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    • 제54권11호
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    • pp.650-653
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    • 2005
  • In this paper, adaptive high-order neural network controller(AHONNC) is adopted to control an induction servomotor. A algorithm is developed by combining compensation control and high-order neural networks. Moreover, an adaptive bound estimation algorithm was proposed to estimate the bound of approximation error. The weight of the high-order neural network can be online tuned in the sense of the Lyapunov stability theorem; thus, the stability of the closed-loop system can be guaranteed. Simulation results for induction servomotor drive system are shown to confirm the validity of the proposed controller.

인덕션 서보 모터 드라이브 시스템의 적응 고차 신경망 제어 (Adaptive High-Order Neural Network Control of Induction Servomotor Drive System)

  • 정진혁;박성민;황영호;양해원
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 학술회의 논문집 정보 및 제어부문 B
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    • pp.903-905
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    • 2003
  • In this paper, adaptive high-order neural network controller(AHONNC) is adopted to control of an induction servomotor. A algorithm is developed by combining compensation control and high-order neural networks. Moreover, an adaptive bound estimation algorithm was proposed to estimate the bound of approximation error. The weight of the high-order neural network can be online tuned in the sense of the Lyapunov stability theorem; thus, the stability of the closed-loop system can be guaranteed. Simulation results for induction servomotor drive system are shown to confirm the validity of the proposed controller.

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휠 슬립 제어기 및 최적 슬립 결정 알고리즘을 이용한 차량의 최대 제동력 제어 (Maximum Braking Force Control Using Wheel Slip Controller and Optimal Target Slip Assignment Algorithm in Vehicles)

  • 홍대건;황인용;선우명호;허건수
    • 대한기계학회논문집A
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    • 제30권3호
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    • pp.295-301
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    • 2006
  • The wheel slip control systems are able to control the braking force more accurately and can be adapted to different vehicles more easily than conventional ABS systems. In order to achieve the superior braking performance through the wheel-slip control, real-time information such as the tire braking force at each wheel is required. In addition, the optimal target slip values need to be determined depending on the braking objectives such as minimum braking distance, stability enhancement, etc. In this paper, a robust wheel slip controller is developed based on the adaptive sliding mode control method and an optimal target slip assignment algorithm. An adaptive law is formulated to estimate the longitudinal braking force in real-time. The wheel slip controller is designed using the Lyapunov stability theory and considering the error bounds in estimating the braking force and the brake disk-pad friction coefficient. The target slip assignment algorithm is developed for the maximum braking force and searches the optimal target slip value based on the estimated braking force. The performance of the proposed wheel-slip control system is verified In simulations and demonstrates the effectiveness of the wheel slip control in various road conditions.

가속도계 신호 처리 오차의 관성항법장치 영향 분석 (Effects of Accelerometer Signal Processing Errors on Inertial Navigation Systems)

  • 성창기;이태규;이정신;박재용
    • 한국군사과학기술학회지
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    • 제9권4호
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    • pp.71-80
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    • 2006
  • Strapdown Inertial navigation systems consist of an inertial sensor assembly(ISA), electronic modules to process sensor data, and a navigation computer to calculate attitude, velocity and position. In the ISA, most gryoscopes such as RLGs and FOGs, have digital output, but typical accelerometers use current as an analog output. For a high precision inertial navigation system, sufficient stability and resolution of the accelerometer board converting the analog accelerometer output into digital data needs to be guaranteed. To achieve this precision, the asymmetric error and A/D reset scale error of the accelerometer board must be properly compensated. If the relation between the acceleration error and the errors of boards are exactly known, the compensation and estimation techniques for the errors may be well developed. However, the A/D Reset scale error consists of a pulse-train type term with a period inversely proportional to an input acceleration additional to a proportional term, which makes it difficult to estimate. In this paper, the effects on the acceleration output for auto-pilot situations and the effects of A/D reset scale errors during horizontal alignment are qualitatively analyzed. The result can be applied to the development of the real-time compensation technique for A/D reset scale error and the derivation of the design parameters for accelerometer board.

GPS/INS 통합시스템의 측정치 시간지연오차 보상 (Measurement Delay Error Compensation for GPS/INS Integrated System)

  • 유준;임유철
    • 전자공학회논문지SC
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    • 제41권1호
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    • pp.1-8
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    • 2004
  • INS는 위치, 속도 및 자세정보를 고속으로 제공하며 스스로 항법정보를 제공하는 장점이 있으나 오차가 시간에 따라 증가하는 단점이 있다. 반면에 GPS는 데이터를 저속으로 제공하며 재밍(Jamming)에 영향을 쉽게 받으나 오차가 시간에 상관없이 일정하다는 장점이 있다. 따라서 상호보완적인 특성을 가지는 INS와 GPS를 통합하였을 때 더욱더 정확한 항법해를 제공할 수 있다. 그러나 INS와 GPS를 통합하는 과정에서 INS정보와 GPS정보의 정확한 시각적 동기가 어려우며, 시각적 비동기에 의한 오차는 일정한 측정오차를 유발하며 고속으로 운항하는 경우에는 큰 영향을 미치게 된다. 본 연구는 GPS/INS 통합항법 시스템에서 측정치 시간지연에 의해 유발되는 오차를 효과적으로 줄이기 위해 바이어스 분리형 칼만필터를 이용한 시간지연오차 보상기법을 강결합 방식과 약결합 방식에 대하여 각각 제안하였다. 각각의 통합모델에서 위치와 속도보정의 측정방정식을 지연시간에 관하여 선형화하였고 지연 상태변수를 기존의 선형 오차방정식에 추가하고 바이어스 분리형 칼만필터를 적용하여 시간지연을 초기에 추정하여 보상하도록 구성하였으며 시뮬레이션을 통하여 성능을 검증하였다.

계측기 능력분석과 실험계획법 (Gauge Capability Analysis and Designed Experiments)

  • 백재욱;조진남
    • 품질경영학회지
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    • 제24권3호
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    • pp.145-159
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    • 1996
  • In today's organization, measurement plays a crucial role in helping improve process or quality. In this paper, we review the measurement error study, classical gauge repeatability and reproducibility study, and designed experiment suited for the determination of the measurement capability. Measurement error study is very simple to use but is rather crude. Hence, it should be used as a preliminary study to determine whether further study is necessary. Classical gauge repeatability and reproducibility (GR&R) study is the most common technique for evaluation of gauge capability. It calculates a percentage that relates the repeatability, reproducibility, and overall R&R to the specification range for the parameter measured. Hence, the individual repeatability and reproducibility statistics will indicate the area on which to concentrate. However, GR&R study only gives a point estimate of each component, which leaves a room for improvement. It is always good to integrate the use of control charts to ascertain the statistical stability of the measurement process. The tools of statistical experimental design are available for a comprehensive design and analysis of the measurement process. Hence, in this paper, we present gauge capability analysis as an experimental design problem and compare it with the classical GR&R study.

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다층 신경회로망을 이용한 GMA 용접 단락이행영역에서의 아크 안정성 평가 (A Study of Estimation of the Arc Stability in Short-circuition Transfer Region of GMA Welding Using Multi-layer Perceptrons)

  • 강문진;이세헌;엄기원
    • Journal of Welding and Joining
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    • 제17권5호
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    • pp.98-106
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    • 1999
  • In GMAW, the spatters are generated according to the variation of the arc. Of the arc is stable, Few spatters are generated. But if unstable, too many spatters are generated. So, this means the spatters are dependent on the arc state. The aim of this study is to accurately estimate the arc state. To do this, the generated spatters were captured under the some welding conditions, and the waveforms of the arc voltage and welding current were collected. From the collected signals, the waveform factors and their standard deviations were extracted. Using these factors as input parameters of multi-layer artificial neural network, the learning for the weight of the generated spatters is performed and the estimation results to the real spatter are assessed. Obtained results are as follow: the linear correlation coefficient between the estimated result and the real spatters was 0.9986. And although the average convergence error was set 0.002, the estimated error to the real spatter was within 0.1 gr/min at each welding condition. In the estimation for the weight generated spatters, the result with multi-layer neural network was far better than with multiple regression analysis. Especially, even though under the welding condition which the arc state is unstable (the spatter is generated much more), very excellent estimation performance was shown.

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Neuro-Fuzzy Control of Interior Permanent Magnet Synchronous Motors: Stability Analysis and Implementation

  • Dang, Dong Quang;Vu, Nga Thi-Thuy;Choi, Han Ho;Jung, Jin-Woo
    • Journal of Electrical Engineering and Technology
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    • 제8권6호
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    • pp.1439-1450
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    • 2013
  • This paper investigates a robust neuro-fuzzy control (NFC) method which can accurately follow the speed reference of an interior permanent magnet synchronous motor (IPMSM) in the existence of nonlinearities and system uncertainties. A neuro-fuzzy control term is proposed to estimate these nonlinear and uncertain factors, therefore, this difficulty is completely solved. To make the global stability analysis simple and systematic, the time derivative of the quadratic Lyapunov function is selected as the cost function to be minimized. Moreover, the design procedure of the online self-tuning algorithm is comparatively simplified to reduce a computational burden of the NFC. Next, a rotor angular acceleration is obtained through the disturbance observer. The proposed observer-based NFC strategy can achieve better control performance (i.e., less steady-state error, less sensitivity) than the feedback linearization control method even when there exist some uncertainties in the electrical and mechanical parameters. Finally, the validity of the proposed neuro-fuzzy speed controller is confirmed through simulation and experimental studies on a prototype IPMSM drive system with a TMS320F28335 DSP.

A new flux observer based vector control in induction motors

  • Tsuji, Mineo;Li, Hanqiang;Izumi, Katsuhiro;Kobuchi, Taiki;Yamada, Eiji
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1994년도 Proceedings of the Korea Automatic Control Conference, 9th (KACC) ; Taejeon, Korea; 17-20 Oct. 1994
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    • pp.708-713
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    • 1994
  • A new flux observer based vector control system of an induction motor is constructed by using an observer in which the commanded stator currents are used to estimate the rotor flux. In this system, the flux observer is formulated by using a model of induction motor in a stationary coordinate system. By considering an observer of induction motor in a fixed co-ordinate system located on its secondary flux, a slip frequency controlled type of vector control system is also proposed. From these control schemes, the relation between the conventional slip frequency controlled type system and the observer based one is clarified. The steady-state error of the developed torque which is caused by the parameter change of induction motor is analyzed and discussed for the selection of observer gains. The poles of the observer error dynamics and those of the observer based vector control system are calculated analytically by neglecting the machine parameter change. In order to analyze the robust stability, a linear model of the observer based vector control system is proposed taking into account the machine parameter change. By using this model, the trajectories of the poles and zeros of the torque transfer function are computed and discussed. To test validity of the theoretical analysis, experiments are conducted by using a digital signal processor (TMS320C30) and a current controlled voltage source PWM inverter.

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