• Title/Summary/Keyword: Robust Stability

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PMSM Sensorless Speed Control Using a High Speed Sliding Mode Observer (고속 슬라이딩모드 관측기를 이용한 PMSM 센서리스 속도제어)

  • Son, Ju-Beom;Kim, Hong-Ryel;Seo, Young-Soo;Lee, Jang-Myung
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.3
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    • pp.256-263
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    • 2010
  • The paper proposes a sensorless speed control strategy for a PMSM (Permanent Magnet Synchronous Motor) based on a new SMO (Sliding Mode Observer), which substitutes a signum function with a sigmoid function. To apply robust sensorless control of PMSM against parameter fluctuations and disturbance, the high speed SMO is proposed, which estimates the rotor position and angular velocity from the back EMF. The low-pass filter and additional position compensation of the rotor are used to reduce the chattering problem commonly found in sliding mode observer with signum function, which becomes possible by applying the sigmoid function with the control of a switching function. Also the proposed sliding mode observer with the sigmoid function has better efficiency than the conventional sliding mode observer since it adjusts the observer gain by variable boundary layer and estimates the stator resistance. The stability of the proposed sliding mode observer is verified by the Lyapunov second method in determining the observer gain. The validity of the proposed high speed PMSM sensorless velocity control has been demonstrated by real experiments.

A Planar Curve Intersection Algorithm : The Mix-and-Match of Curve Characterization, Subdivision , Approximation, Implicitization, and Newton iteration (평면 곡선의 교점 계산에 있어 곡선 특성화, 분할, 근사, 음함수화 및 뉴턴 방법을 이용한 Mix-and-Mntch알고리즘)

  • 김덕수;이순웅;유중형;조영송
    • Korean Journal of Computational Design and Engineering
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    • v.3 no.3
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    • pp.183-191
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    • 1998
  • There are many available algorithms based on the different approaches to solve the intersection problems between two curves. Among them, the implicitization method is frequently used since it computes precise solutions fast and is robust in lower degrees. However, once the degrees of curves to be intersected are higher than cubics, its computation time increases rapidly and the numerical stability gets worse. From this observation, it is natural to transform the original problem into a set of easier ones. Therefore, curves are subdivided appropriately depending on their geometric behavior and approximated by a set of rational quadratic Bezier cures. Then, the implicitization method is applied to compute the intersections between approximated ones. Since the solutions of the implicitization method are intersections between approximated curves, a numerical process such as Newton-Raphson iteration should be employed to find true intersection points. As the seeds of numerical process are close to a true solution through the mix-and-match process, the experimental results illustrates that the proposed algorithm is superior to other algorithms.

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A New Robust Discrete Integral Static Output Feedback Variable Structure Controller with Disturbance Observer and Integral Dynamic-Type Sliding Surface for Uncertain Discrete Systems (불확실 이산 시스템을 위한 외란관측기와 적분 동특성형 슬라이딩 면을 갖는 새로운 둔감한 이산 적분 정적 출력 궤환 가변구조제어기)

  • Lee, Jung-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.7
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    • pp.1289-1294
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    • 2010
  • In this paper, a new discrete integral static output feedback variable structure controller based on the a new integral dynamic-type sliding surface and output feedback discrete version of the disturbance observer is suggested for the control of uncertain linear systems. The reaching phase is completely removed by introducing a new proposed integral dynamic-type sliding surface. The output feedback discrete version of disturbance observer is presented for effective compensation of uncertainties and disturbance. A corresponding control with disturbance compensation is selected to guarantee the quasi sliding mode on the predetermined integral dynamic-type sliding surface for guaranteeing the designed output in the integral dynamic-type sliding surface from any initial condition for all the parameter variations and disturbances. Using discrete Lyapunov function, the closed loop stability and the existence condition of the quasi sliding mode is proved. Finally, an illustrative example is presented to show the effectiveness of the algorithm.

A Novel Sliding Mode Observer for State of Charge Estimation of EV Lithium Batteries

  • Chen, Qiaoyan;Jiang, Jiuchun;Liu, Sijia;Zhang, Caiping
    • Journal of Power Electronics
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    • v.16 no.3
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    • pp.1131-1140
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    • 2016
  • A simple design for a sliding mode observer is proposed for EV lithium battery SOC estimation in this paper. The proposed observer does not have the limiting conditions of existing observers. Compared to the design of previous sliding mode observers, the new observer does not require a solving matrix equation and it does not need many observers for all of the state components. As a result, it is simple in terms of calculations and convenient for engineering applications. The new observer is suitable for both time-variant and time-invariant models of battery SOC estimation, and the robustness of the new observer is proved by Liapunov stability theorem. Battery tests are performed with simulated FUDS cycles. The proposed observer is used for the SOC estimation on both unchanging parameter and changing parameter models. The estimation results show that the new observer is robust and that the estimation precision can be improved base on a more accurate battery model.

A Novel Method to Suppress Mid-Frequency Vibrations with a High Speed-Loop Gain for PMSM Control

  • Li, Qiong;Xu, Qiang;Huang, Shenghua
    • Journal of Power Electronics
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    • v.16 no.3
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    • pp.1076-1086
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    • 2016
  • PI controllers are one of the most widely used controllers in industrial control systems due to their simple algorithms and stability. The parameters Kp and Ki determine the performance of the system response. The response is expected to improve by increasing the gain of the PI controller. However, too large a gain will accelerate the speed response and cause vibrations, which is not what is expected. This paper proposes a way to suppress vibrations by detecting the vibration frequency and extracting the vibration signal as a compensation to the speed feedback. Additionally, in order to improve its disturbance rejection ability, a low-order disturbance observer is proposed. This paper also explains the operation principle of the proposed method by analyzing the transfer function and it describes the design of the controller parameters in detail. Simulation and experimental results are provided to verify the merits of the proposed method. These results also show the good performance of the proposed method. It has a rapid response and suppresses vibrations.

Design of an Adaptive Speed Regulator for a Surface-Mounted Permanent Magnet Synchronous Motor (표면부착형 영구자석 동기전동기의 적응속도제어기 설계)

  • Choi, Young-Sik;Yu, Dong-Young;Jung, Jin-Woo
    • The Transactions of the Korean Institute of Power Electronics
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    • v.15 no.6
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    • pp.425-431
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    • 2010
  • This paper proposes a new adaptive speed controller for the speed control of a surface-permanent magnet synchronous motor. The proposed adaptive controller is very insensitive to model parameter and load torque variations since it does not require any accurate information on the motor parameter and load torque values. Moreover, the stability of the proposed control system is analytically proven. To verify the effectiveness of the proposed adaptive speed controller, simulation and experimental results are shown under motor parameter and load torque variations. It is clearly validated that the proposed speed regulator can precisely control the speed of permanent magnet synchronous motors.

Precision Speed Control of PMSM Using Neural Network Disturbance Observer and Parameter Compensator (신경망 외란관측기와 파라미터 보상기를 이용한 PMSM의 정밀속도제어)

  • Go, Jong-Seon;Lee, Yong-Jae
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.51 no.10
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    • pp.573-580
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    • 2002
  • This paper presents neural load disturbance observer that used to deadbeat load torque observer and regulation of the compensation gain by parameter estimator As a result, the response of PMSM follows that of the nominal plant. The load torque compensation method is compose of a neural deadbeat observer. To reduce of the noise effect, the post-filter, which is implemented by MA process, is proposed. The parameter compensator with RLSM(recursive least square method) parameter estimator is suggested to increase the performance of the load torque observer and main controller. The proposed estimator is combined with a high performance neural torque observer to resolve the problems. As a result, the proposed control system becomes a robust and precise system against the load torque and the parameter variation. A stability and usefulness, through the verified computer simulation and experiment, are shown in this paper.

Experimental Study on the Active Controller of Structures Considering Modeling Uncertainty (구조물의 모델링 불확실성을 고려한 능동 제어기의 실험연구)

  • 민경원;김성춘
    • Journal of the Earthquake Engineering Society of Korea
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    • v.4 no.4
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    • pp.53-61
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    • 2000
  • 능동 제어기를 설계하기 위해서는 제어대상 구조물의 수학모델의 구해야한다. 그러나, 무한차원의 구조물에 대하여 정확한 모델을 구하는 것은 불가능하므로 유한차원인 저차원화된 모델을 사용하여 제어기를 설계한다. 그러나, 실제 구조물과 저차원화된 모델사이의 오차에 의하여 제어기의 성능이 저하가 되면 제어기와 구조물의 상호작용, 지진과 같은 오란 등의 불확실성, 지진시 구조물의 동적 특성 변화로 인하여 제어기의 성능이 더욱 저하가 된다. 이러한 저하 요인은 제어기 설계시 요구되는 구조물의 수학모델에 대한 불확실한 요소로 작용하기 때문에 제어성능의 저하를 일으키며 응답의 불안정을 유발하기로 한다. 본 연구에서는 질량형 능동제어기(AMD)가 설치된 3층 건물 모형의 모델 오차에 관한 불확실성을 반영한 강인제어기법을 적용하여 제어성능과 안정성을 실험을 통하여 분석하였다. 강인제어 기법인 $\mu$ 합성법에 요구되는 여러 가지 가중함수인 주파수필터는 건물과 AMD의 특성, 모델 오차, 제어율과 AMD 성능의 , 측정잡음 및 지진외란의 특성 등을 고려하여 정량적으로 선택되었다. $\mu$합성법에 의하여 제어기를 설계하였으며 강인성을 비교하기 위하여 불확실성이 고려되지 않는 LQG 기법에 의한 제어기를 선택하였다. $\mu$합성법은 규정된 불확성에 대하여 제어의 강인성을 가지므로 동적특성이 바뀐 건물모형에 관한 강인성을 LQG 기법에 의한 제어성능과 비교하였다. 그 결과 동적특성이 변화된 건물에 대하여 $\mu$합성법만이 제어의 효율성이 유지되는 강인성을 나타내었다.

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Estimation of saturated hydraulic conductivity of Korean weathered granite soils using a regression analysis

  • Yoon, Seok;Lee, Seung-Rae;Kim, Yun-Tae;Go, Gyu-Hyun
    • Geomechanics and Engineering
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    • v.9 no.1
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    • pp.101-113
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    • 2015
  • Saturated soil hydraulic conductivity is a very important soil parameter in numerous practical engineering applications, especially rainfall infiltration and slope stability problems. This parameter is difficult to measure since it is very highly sensitive to various soil conditions. There have been many analytical and empirical formulas to predict saturated soil hydraulic conductivity based on experimental data. However, there have been few studies to investigate in-situ hydraulic conductivity of weathered granite soils, which constitute the majority of soil slopes in Korea. This paper introduces an estimation method to derive saturated hydraulic conductivity of Korean weathered granite soils using in-situ experimental data which were obtained from a variety of slope areas of South Korea. A robust regression analysis was performed using different physical soil properties and an empirical solution with an $R^2$ value of 0.9193 was suggested. Besides that this research validated the proposed model by conducting in-situ saturated soil hydraulic conductivity tests in two slope areas.

Modal-based model reduction and vibration control for uncertain piezoelectric flexible structures

  • Yalan, Xu;Jianjun, Chen
    • Structural Engineering and Mechanics
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    • v.29 no.5
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    • pp.489-504
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    • 2008
  • In piezoelectric flexible structures, the contribution of vibration modes to the dynamic response of system may change with the location of piezoelectric actuator patches, which means that the ability of actuators to control vibration modes should be taken into account in the development of modal reduction model. The spatial $H_2$ norm of modes, which serves as a measure of the intensity of modes to system dynamical response, is used to pick up the modes included in the reduction model. Based on the reduction model, the paper develops the state-space representation for uncertain flexible tructures with piezoelectric material as non-collocated actuators/sensors in the modal space, taking into account uncertainties due to modal parameters variation and unmodeled residual modes. In order to suppress the vibration of the structure, a dynamic output feedback control law is designed by imultaneously considering the conflicting performance specifications, such as robust stability, transient response requirement, disturbance rejection, actuator saturation constraints. Based on linear matrix inequality, the vibration control design is converted into a linear convex optimization problem. The simulation results show how the influence of vibration modes on the dynamical response of structure varies with the location of piezoelectric actuators, why the uncertainties should be considered in the reductiom model to avoid exciting high-frequency modes in the non-collcated vibration control, and the possiblity that the conflicting performance specifications are dealt with simultaneously.