• Title/Summary/Keyword: linearization error

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Robust Control of a Grid Connected Three-Phase Two-Level Photovoltaic Inverter (3상 2레벨 계통연계형 태양광 인버터의 강인제어)

  • Ahn, Kyung-Pil;Lee, YoungIl
    • The Transactions of the Korean Institute of Power Electronics
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    • v.19 no.6
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    • pp.538-548
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    • 2014
  • This study provides a robust control of a grid-connected three-phase two-level photo voltaic inverter. The introduced control method uses the cascade control strategy to regulate AC-side current and DC-link voltage. A robust controller with integration action is used for the inner-loop AC-side current control, which maximizes the convergence rate using a linear matrix inequality-based optimization design method and eliminates the offset error. The robust controller design method considers the parameter uncertainty set to accommodate parameter mismatch and un-modeled components in the inverter model. An outer-loop proportional-integral controller is used to regulate DC-link voltage with linearization of DC/AC relation. The proposed control strategy is applied to a grid-connected 100 kW photo voltaic inverter.

Modeling and Controller Design of an Electro-Hydrostatic Actuator (정유압구동기(EHA)의 모델링과 제어기 설계)

  • Huh, J.Y.;Kim, H.H.;Lee, I.Y.
    • Journal of Drive and Control
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    • v.12 no.2
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    • pp.1-6
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    • 2015
  • Recently, the Electro-Hydrostatic Actuator(EHA) has been developed as a result of research on energy saving. EHA is usually composed of a direct driven pump from an electric motor and is available to control cylinder displacement or velocity with high efficiency. In addition, it has the advantage of compactness, minimum leakage and availability of decentralized control. In this study, an EHA system was designed to decrease the path tracking error and manufactured for test. The linearization method provided in AMESim software was used to derive the model of EHA system. The derived model was applied to design the PI-D controller to effectively overcome the disturbance. The effectiveness of this controller was verified by further testing.

Sliding Mode Control for an Active Magnetic Bearing System (능동자기베어링계를 위한 슬라이딩모드 제어)

  • Kang, Min-Sig
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.12
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    • pp.82-88
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    • 2008
  • This paper describes an application of sliding mode control to an active magnetic bearing(AMB) system. A sliding mode control is robust to model uncertainties and external disturbances. To ensure the authority of sliding mode control, model parameter uncertainties caused from linearization of electro-magnetic attractive force are analyzed and a domain of parameter uncertainties in which reachability to sliding surface is guaranteed is derived. The validity of the analysis is illustrated along with some simulation examples.

Imperfection Parameter Observer and Drift Compensation Controller Design of Hemispherical Resonator Gyros

  • Pi, Jaehwan;Bang, Hyochoong
    • International Journal of Aeronautical and Space Sciences
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    • v.14 no.4
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    • pp.379-386
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    • 2013
  • The hemispherical resonator gyroscope is a type of vibratory gyroscope, which can measure angle or angular rate, based on its operating mode. This paper deals with the case when the hemispherical resonator gyroscope is operated in angle measurement mode. In angle measurement mode, the resonator pattern angle precesses, with respect to the external rotation input, by the principle of the Coriolis effect, so that the external rotation can be estimated, by measuring the amount of precession angle. However, this pattern angle drifts, due to the manufacturing error of the resonator. Since the drift effect causes degradation of the angle estimation performance of the resonator, the corresponding drift compensation control should be performed, to enhance the estimation performance. In this paper, a mathematical model of the hemispherical resonator gyro is first introduced. By using the mathematical model, a nonlinear observer for imperfection parameter estimation, and the corresponding compensation controller are designed to operate hemispherical resonator gyros, as angle measurement sensors.

Indirect Adaptive Regulator Design Based on TSK Fuzzy Models

  • Park Chang-Woo;Choi Jun-Hyuk;Sung Ha-Gyeong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.6 no.1
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    • pp.52-57
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    • 2006
  • In this paper, we have proposed a new adaptive fuzzy control algorithm based on Takagi-Sugeno fuzzy model. The regulation problem for the uncertain SISO nonlinear system is solved by the proposed algorithm. Using the advanced stability theory, the stability of the state, the control gain and the parameter approximation error is proved. Unlike the existing feedback linearization based methods, the proposed algorithm can guarantee the global stability in the presence of the singularity in the inverse dynamics of the plant. The performance of the proposed algorithm is demonstrated through the problem of balancing and swing-up of an inverted pendulum on a cart.

Design of an Adaptive Robust Nonlinear Predictive Controller (적응성을 가진 강인한 비선형 예측제어기 설계)

  • Park, Gee--Yong;Yoon, Ji-Sup
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.12
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    • pp.967-972
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    • 2001
  • In this paper, an adaptive robust nonlinear predictive controller is developed for the continuous time nonlinear systems whose control objective is composed of the system output and its desired value. The basic control law is derived from the continuous time prediction model and its feedback dynamcis shows another from if input and output linearization. In order to cope with the parameter uncertainty, robust control is incorporated into the basic control law and the asymptotic convergence of tracking error to a certain bounded region is guaranteed. For stability and performance improvement within the bounded region, an adaptive control is introduced. Simulation tests for the motion control of an underwater wall-ranging robot confirm the performance improvement and the robustness of this controller.

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Analytical solution for nonlinear vibration of an eccentrically reinforced cylindrical shell

  • Bayat, Mahmoud;Pakar, Iman;Bayat, Mahdi
    • Steel and Composite Structures
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    • v.14 no.5
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    • pp.511-521
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    • 2013
  • In this study we have considered the governing nonlinear equation of an eccentrically reinforced cylindrical shell. A new analytical method called He's Variational Approach (VA) is used to obtain the natural frequency of the nonlinear equation. This analytical representation gives excellent approximations to the numerical solution for the whole range of the oscillation amplitude, reducing the respective error of angular frequency in comparison with the variation approach method. It has been proved that the variational approach is very effective, convenient and does not require any linearization or small perturbation. Additionally it has been demonstrated that the variational approach is adequately accurate to nonlinear problems in physics and engineering.

VARIATION OF PARAMETERS METHOD FOR SOLVING SIXTH-ORDER BOUNDARY VALUE PROBLEMS

  • Mohyud-Din, Syed Tauseef;Noor, Muhammad Aslam;Waheed, Asif
    • Communications of the Korean Mathematical Society
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    • v.24 no.4
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    • pp.605-615
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    • 2009
  • In this paper, we develop a reliable algorithm which is called the variation of parameters method for solving sixth-order boundary value problems. The proposed technique is quite efficient and is practically well suited for use in these problems. The suggested iterative scheme finds the solution without any perturbation, discritization, linearization or restrictive assumptions. Moreover, the method is free from the identification of Lagrange multipliers. The fact that the proposed technique solves nonlinear problems without using the Adomian's polynomials can be considered as a clear advantage of this technique over the decomposition method. Several examples are given to verify the reliability and efficiency of the proposed method. Comparisons are made to reconfirm the efficiency and accuracy of the suggested technique.

A Study on the Control of Parallel-Type Inverted Pendulum by $H_\infty$ Control ($H_\infty$제어에 의한 병렬형 도립진자의 제어에 관한 연구)

  • Yang, Joo-Ho;Byun, Jung-Hoan
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.31 no.2
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    • pp.178-189
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    • 1995
  • In this pater, authors derive the state - space equiation about the patallel - type inverted pendulum which is adopted as control object, and constitute the control system by $H_\infty$control theory. The modeling error is unavoidably existed by linearization error, and so on. We regard this modeling error which is determined from the identification through frequency response as unstructured model uncertainty. An augmented state - space equiation with frequency weighting function is constructed for application of the $H_\infty$theory, and the mixed sensitivity problem is considered. The weighting functions are determined in consideration of the model uncertainty and the response of system in frequency region. The $H_\infty$controller is designed by using software package for controller design. From results of response simulation, the control system designed with $H_\infty$theory guarantees low sensitivity for disturbance as well as robustness against the model uncertainties.

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Real time orbit estimation using asynchronous multiple RADAR data fusion (비동기 다중 레이더 융합을 통한 실시간 궤도 추정 알고리즘)

  • Song, Ha-Ryong;Moon, Byoung-Jin;Cho, Dong-Hyun
    • Aerospace Engineering and Technology
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    • v.13 no.2
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    • pp.66-72
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    • 2014
  • This paper introduces an asynchronous multiple radar fusion algorithm for space object tracking. To estimate orbital motion of space object, a multiple radar scenario which jointly measures single object with different sampling time indices is described. STK/ODTK is utilized to determine realization of orbital motion and joint coverage of multiple radars. Then, asynchronous fusion algorithm is adapted to enhance the estimation performance of orbital motion during which multiple radars measure the same time instances. Monte-Carlo simulation results demonstrate that the proposed asynchronous multi-sensor fusion scheme better than single linearized Kalman filter in an aspect of root mean square error.