• Title/Summary/Keyword: steady state estimation

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Design of the Well-Conditioned Observer - A Linear Matrix Inequality Approach - (Well-Conditioned 관측기 설계 - A Linear Matrix Inequality Approach -)

  • Jung, Jong-Chul;Huh, Kun-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.5
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    • pp.503-510
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    • 2004
  • In this paper, the well-conditioned observer for a stochastic system is designed so that the observer is less sensitive to the ill-conditioning factors in transient and steady-state observer performance. These factors include not only deterministic uncertainties such as unknown initial estimation error, round-off error, modeling error and sensing bias, but also stochastic uncertainties such as disturbance and sensor noise. In deterministic perspectives, a small value in the L$_{2}$ norm condition number of the observer eigenvector matrix guarantees robust estimation performance to the deterministic uncertainties. In stochastic viewpoints, the estimation variance represents the robustness to the stochastic uncertainties and its upper bound can be minimized by reducing the observer gain and increasing the decay rate. Both deterministic and stochastic issues are considered as a weighted sum with a LMI (Linear Matrix Inequality) formulation. The gain in the well-conditioned observer is optimally chosen by the optimization technique. Simulation examples are given to evaluate the estimation performance of the proposed observer.

Practical Pinch Torque Detection Algorithm for Anti-Pinch Window Control System Application

  • Lee, Hye-Jin;Ra, Won-Sang;Yoon, Tae-Sung;Park, Jin-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2526-2531
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    • 2005
  • A practical pinch torque estimator based on the Kalman filter is proposed for low-cost anti-pinch window control systems. To obtain the accurate angular velocity from Hall-effect sensor measurements, the angular velocity calculation algorithm is executed with additional procedures for removing the measurement noises. Apart from the previous works using the angular velocity estimates and torque estimates for detecting the pinched condition, the torque rate is augmented to the system model and the proposed pinch estimator is derived by applying the steady-state Kalman filter recursion to the model. The motivation of this approach comes from the idea that the bias errors in torque estimates due to the motor parameter uncertainties can be almost eliminated by introducing the torque rate state. For detecting the pinched condition, a systematic way to determine the threshold level of the torque rate estimates is also suggested via the deterministic estimation error analysis. Simulation results are given to certify the pinch detection performance of the proposed algorithm and its robustness against the motor parameter uncertainties.

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Least mean absolute third (LMAT) adaptive algorithm:part II. performance evaluation of the algorithm (최소평균절대값삼승 (LMAT) 적응 알고리즘: Part II. 알고리즘의 성능 평가)

  • 김상덕;김성수;조성호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.22 no.10
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    • pp.2310-2316
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    • 1997
  • This paper presents a comparative performance analysis of the stochastic gradient adaptive algorithm based on the least mean absolute third (LMAT) error criterion with other widely-used competing adaptive algorithms. Under the assumption that the signals involved are zero-mean, wide-sense stationary and Gaussian, approximate expressions that characterize the steady-state mean-squared estimation error of the algorithm is dervied. The validity of our derivation is then confirement by computer simulations. The convergence speed is compared under the condition that the LMAT and other competing algorithms converge to the same value for the mean-squared estimation error in the stead-state, and superior convergence property of the LMAT algorithm is observed. In particular, it is shown that the LMAT algorithm converges faster than other algorithms even through the eignevalue spread ratio of the input signal and measurement noise power change.

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Accuracy Evaluation of Tidal Volume Measured on the Abdomen (복부에서 측정하는 일회 호흡용적의 정확도 평가)

  • Lee, In-Kwang;Kim, Seong-Sik;Jang, Jong-Chan;Kim, Koon-Jin;Kim, Kyung-Ah;Lee, Tae-Soo;Cha, Eun-Jong
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.7
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    • pp.1298-1303
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    • 2008
  • Respiration is induced by muscular contraction of the chest and abdomen, resulting in the abdominal volume change. Thus, continuous measurement of the abdominal dimension enables to monitor breathing activity. Conductive rubber cord has been previously introduced and tested to develop wearable application for respiratory measurements. This study implemented respiratory monitoring system with the conductive rubber cord in the patient's pants in purpose of quantitative estimation of tidal volume. Air mixed with $0{\sim}5%$ $CO_2$ was inhaled and the respiratory air flow rate, abdominal dimension change, and end tidal $CO_2$ concentration were simultaneously measured in steady state. $CO_2$ inhalation significantly increased the tidal volume in normal physiological state with the subject unawared. The tidal volume estimated from the abdominal dimension change linearly correlated with the tidal volume measured by a pneumotachometer with a correlation coefficient of 0.88. Customized calibration for each subject resulted in relative errors less than 10%. Therefore, the tidal volume was accurately estimated by measuring the abdominal dimension change.

Efficient Calculation for Decision Feedback Algorithms Based on Zero-Error Probability Criterion (영확률 성능기준에 근거한 결정궤환 알고리듬의 효율적인 계산)

  • Kim, Namyong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.40 no.2
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    • pp.247-252
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    • 2015
  • Adaptive algorithms based on the criterion of zero-error probability (ZEP) have robustness to impulsive noise and their decision feedback (DF) versions are known to compensate effectively for severe multipath channel distortions. However the ZEP-DF algorithm computes several summation operations at each iteration time for each filter section and this plays an obstacle role in practical implementation. In this paper, the ZEP-DF with recursive gradient estimation (RGE) method is proposed and shown to reduce the computational burden of O(N) to a constant which is independent of the sample size N. Also the weight update of the initial state and the steady state is a continuous process without bringing about any propagation of gradient estimation error in DF structure.

Power cost evaluation of 350 MWe nuclear power plant (350MWe 원자력 발전소의 발전원가 추정)

  • 노윤래
    • 전기의세계
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    • v.16 no.4
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    • pp.41-49
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    • 1967
  • This paper covers an estimation and analysis of generating cost of 350MWe nuclear power plant using a pressurized water reactor on the assumption that such a nuclear power plant would be constructed in Korea in or around 1970. For the evaluation of this generating cost, an extensive study has been conducted based on the current information on operating and costing parameters of light water reactors, particularly those of pressurized water reactors. Based on this study, a total generating cost of 7.29 Mills/Kwh was evaluated by operating the plant at 80% plant factor. For this calculation, a steady state method was introduced. It is considered, therefore, that a total generating cost in the beginning of plant operation would be a little higher than 7.29 Mills/Kwh, which has been calculated in the state of equilibrium.

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Wire Rope Fault Detection using Probability Density Estimation (확률분포추정기법을 이용한 와이어로프의 결함진단)

  • Jang, Hyeon-Seok;Lee, Young-Jin;Lee, Kwon-Soon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.11
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    • pp.1758-1764
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    • 2012
  • A large number of wire rope has been used in various inderstiries as Cranes and Elevators from expanding the scale of the industrial market. But now, the management of wire rope is used as manually operated by rope replacement from over time or after the accident.It is caused to major accidents as well as economic losses and personal injury. Therefore its time to need periodic fault diagnosis of wire rope or supply of real-time monitoring system. Currently, there are several methods has been reported for fault diagnosis method of the wire rope, to find out the feature point from extracting method is becoming more common compared to time wave and model-based system. This method has implemented a deterministic modeling like the observer and neural network through considering the state of the system as a deterministic signal. However, the out-put of real system has probability characteristics, and if it is used as a current method on this system, the performance will be decreased at the real time. And if the random noise is occurred from unstable measure/experiment environment in wire rope system, diagnostic criterion becomes unclear and accuracy of diagnosis becomes blurred. Thus, more sophisticated techniques are required rather than deterministic fault diagnosis algorithm. In this paper, we developed the fault diagnosis of the wire rope using probability density estimation techniques algorithm. At first, The steady-state wire rope fault signal detection is defined as the probability model through probability distribution estimate. Wire rope defects signal is detected by a hall sensor in real-time, it is estimated by proposed probability estimation algorithm. we judge whether wire rope has defection or not using the error value from comparing two probability distribution.

A Novel Single Phase Synchronous Reference Frame Phase-Locked Loop with a Constant Zero Orthogonal Component

  • Li, Ming;Wang, Yue;Fang, Xiong;Gao, Yuan;Wang, Zhaoan
    • Journal of Power Electronics
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    • v.14 no.6
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    • pp.1334-1344
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    • 2014
  • A novel single phase Phase-Locked Loop (PLL) is proposed in this paper to accurately and rapidly estimate the instantaneous phase angle of a grid. A conjugate rotating vector pair is proposed and defined to synthesize the single phase signal in the stationary reference frame. With this concept, the proposed PLL innovatively sets one phase input of the PARK transformation to a constant zero. By means of a proper cancellation, a zero steady state phase angle estimation error can be achieved, even under magnitude and frequency variations. The proposed PLL structure is presented together with guidelines for parameters adjustment. The performance of the proposed PLL is verified by comprehensive experiments. Satisfactory phase angle estimation can be achieved within one input signal cycle, and the estimation error can be totally eliminated in four input cycles for the most severe conditions.

A Study on the Real-Time Estimation of Thermal Displacement for a Ball Screw (실시간 볼 스크류 열변형 추정에 관한 연구)

  • 김수광;류승호;조동우
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.04b
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    • pp.88-93
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    • 1995
  • The ball screw preloaded for high nigidity and accuracy increases frictional resistance, therefore, its temperature and positioning error rise. In this paper, 2 diamensional temperature distributions of a ball screw with preload are analyzed according to the rotational speeds and stop times by a finite element method. The theremal behaviors of a ball screw are measured to examine the analyzed datum. The examined results show that the trends of temperature rising and axial distributions in steady state are nearly extimate but the temperature low. The differences of temperature ate seems to be caused by not exact heat transfer coefficients. More than an hour is consumed for calculation by FEM. So the modified lumped method for the real-time estimation of the thermal distribution is proposed. The estimated temperature of a ball serw by the modified lumped method is more exactly estimated than by FEM, nd that method takes less than several millisec. Moreover it can be used to estimate heat transfer coefficients.

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Reduced Error Model for Integrated Navigation of Unmanned Autonomous Underwater Vehicle (무인자율수중운동체의 보정항법을 위한 축소된 오차 모델)

  • Park, Yong-Gonjong;Kang, Chulwoo;Lee, Dal Ho;Park, Chan Gook
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.5
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    • pp.584-591
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    • 2014
  • This paper presents a novel aided navigation method for AUV (Autonomous Underwater Vehicles). The navigation system for AUV includes several sensors such as IMU (Inertial Measurement Unit), DVL (Doppler Velocity Log) and depth sensor. In general, the $13^{th}$ order INS error model, which includes depth error, velocity error, attitude error, and the accelerometer and gyroscope biases as state variables is used with measurements from DVL and depth sensors. However, the model may degrade the estimation performance of the heading state. Therefore, the $11^{th}$ INS error model is proposed. Its validity is verified by using a degree of observability and analyzing steady state error. The performance of the proposed model is shown by the computer simulation. The results show that the performance of the reduced $11^{th}$ order error model is better than that of the conventional $13^{th}$ order error model.