• Title/Summary/Keyword: Mode Approximation Method

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Sliding Mode Controller Design Considering Weight (가중치를 고려한 슬라이딩 모드 제어기 설계)

  • 임동균;서병설
    • Proceedings of the KIPE Conference
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    • 1998.11a
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    • pp.73-77
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    • 1998
  • The conventional sliding mode controller (SMCr) approach is often impractical or difficult when applied to high order process because the number of tuning parameters in the SMCr increases with the order of the plant. Camacho(1996) proposed the design of a fixed structure sliding mode controller based on a first order plus dead time approximation to the higher-order process. But, there are such problems as overshoot, settling time and command following. They are mainly due to the approximation errors of the time delay term by Taylor series. In this paper, in order to improve Camcho's method, a new Taylor approximation technique considering a weight is proposed.

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Nonlinear Modeling and Dynamic Analysis of Flexible Structures Undergoing Overall Motions Employing Mode Approximation Method

  • Kim, Jung-Young;Hyun, Sang-Hak;Yoo, Hong-Hee
    • Journal of Mechanical Science and Technology
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    • v.16 no.7
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    • pp.896-901
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    • 2002
  • This paper presents a nonlinear modeling method for dynamic analysis of flexible structures undergoing overall motions that employs the mode approximation method. This method, different from the naive nonlinear method that approximates only Cartesian deformation variables, approximates not only deformation variables but also strain variables. Geometric constraint relations between the strain variables and the deformation variables are introduced and incorporated into the formulation. Two numerical examples are solved and the reliability and the accuracy of the proposed formulation are examined through the numerical study.

Nonlinear Modeling and Dynamic Analysis of Flexible Structures Undergoing Overall Motions Employing Mode Approximation Method (모드 근사화 방법을 이용한 대변위 운동을 하는 유연구조물의 비선형 모델링 및 동적해석)

  • Kim, J.Y.;Hyun, S.H.;Yoo, H.H.
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.550-555
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    • 2001
  • This paper presents a nonlinear modeling method for dynamic analysis of flexible structures undergoing overall motions that employs the mode approximation method. This method, different from the naive nonlinear method that approximates only Cartesian deformation variables, approximates not only deformation variables but also strain variables. Geometric constraint relations between the strain variables and the deformation variables are introduced and incorporated into the formulation. Two numerical examples are solved and the reliability and the accuracy of the proposed formulation are examined through the numerical study.

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Sliding Mode Controller Design Considering Weight (가중치를 고려한 슬라이딩 모드 제어기 설계)

  • 임동균;서병설
    • The Transactions of the Korean Institute of Power Electronics
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    • v.4 no.3
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    • pp.223-230
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    • 1999
  • A conventional sliding mode control approach is often impractical or difficult when it is applied to high order process b because the number of tuning parameters in the sliding mode controller increases with the order of the plant. C Camacho(l996) proposed a design method of a fixed structure sliding mode controller based on a first order plus dead t time approximation to the higher-order process. But, his method has such problems as chattering, over‘shoot, and c command following due to the Taylor the approximation en‘ors for the time delay term of the first order model. In this p paper, a new design technique for a sliding mode controller based on the modified Taylor approximation considered a w weight is developed to improve the Camacho's problems.

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On-Line Sliding Mode Controller Tuning from a single closed loop test (단일 폐루프 테스트를 통한 온라인 슬라이딩 모드 제어기 동조)

  • Bae, Jun-Hyung;Lim, Dong-Kyun;Suh, Byung-Suhl
    • Proceedings of the KIEE Conference
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    • 2005.05a
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    • pp.106-108
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    • 2005
  • The calculation of parameters of a process model is modified to find that better sliding mode controller for a process with time delay. A design method by Camacho has such problems as chattering, overshoot due to the Pade approximation errors for the time delay term of the first order model. In this paper, a new design technique for a sliding mode controller is proposed by introducing the modified Pade approximation considering the weight factor. The modified method is expected to provide a more accurate model with better control settings.

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On-Line Sliding Mode Controller Design from a Single Closed Loop Test (단일 폐루프 테스트를 통한 온라인 슬라이딩 모드 제어기 설계)

  • Bae Jun-hyung;Lim Dong-kyun;Suh Byung-sulh
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.42 no.6
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    • pp.1-8
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    • 2005
  • The calculation of parameters of a process model is modified to find better sliding mode controller for a process. A design method by Camacho has such problems as chattering and overshoot due to the Taylor the approximation errors for the time delay term of the first order model. In this paper, a new design technique for a sliding mode controller is proposed by introducing the modified Pade approximation considering the weight factor. With the proposed method, the process response can be directly used to estimate the system parameters without any numerical processing.

The analysis of error characteristics in self-imaging and improved optimization of waveguide structure for multi-mode interference devices (자아결상원리의 오차 해석을 통한 다중모드간섭기의 최적화)

  • 홍정무;오범환;이승걸;이일항;우덕하;김선호
    • Korean Journal of Optics and Photonics
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    • v.13 no.1
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    • pp.38-43
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    • 2002
  • Simple principles of self-imaging in Multi-Mode Interference (MMI) devices are based on the approximation of propagation constants. The analysis of the basic nature of the self-imaging principle reveals the problems of previous optimization methods, and provides a new scheme to optimize the external variables for the reconciliation of approximation problems by considering two different tendencies of approximation effects. Furthermore, the representative mode method is proposed to make the application easy. This optimization method provides an essential method for stable design and fabrication of MMI devices with improved characteristics.

Intelligent Sliding Mode Control for Robots Systems with Model Uncertainties (모델 불확실성을 가지는 로봇 시스템을 위한 지능형 슬라이딩 모드 제어)

  • Yoo, Sung-Jin;Choi, Yoon-Ho;Park, Jin-Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.10
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    • pp.1014-1021
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    • 2008
  • This paper proposes an intelligent sliding mode control method for robotic systems with the unknown bound of model uncertainties. In our control structure, the unknown bound of model uncertainties is used as the gain of the sliding controller. Then, we employ the function approximation technique to estimate the unknown nonlinear function including the width of boundary layer and the uncertainty bound of robotic systems. The adaptation laws for all parameters of the self-recurrent wavelet neural network and those for the reconstruction error compensator are derived from the Lyapunov stability theorem, which are used for an on-line control of robotic systems with model uncertainties and external disturbances. Accordingly, the proposed method can not only overcome the chattering phenomenon in the control effort but also have the robustness regardless of model uncertainties and external disturbances. Finally, simulation results for the five-link biped robot are included to illustrate the effectiveness of the proposed method.

Approximate Method of Multi-Layer Green's Function Using FDTD Scheme and Rational Function Approximation (FDTD 방법과 분수 함수 근사법을 이용한 다층 구조에서의 Green 함수 근사화)

  • Kim, Yong-June;Koh, Il-Suek;Lee, Yong-Shik
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.2
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    • pp.191-198
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    • 2011
  • In this paper, a method to approximate a multi-layer Green's function is proposed based on a FDTD scheme and a rational function approximation. For a given horizontal propagation wavenumber, time domain response is calculated and then Fourier transformed to the spectral domain Green's function. Using the rational function approximation, the pole and residue of the Green's function can be estimated, which are crucial for a calculation of a path loss. The proposed method can provide a wideband Green's function, while the conventional normal mode method can be applied to a single frequency problem. To validate the proposed method, We consider two problems, one of which has a analytical solution. The other is about multi-layer case, for which the proposed method is compared with the known normal mode solution, Kraken.

UTD-Supplemented Mode-matching Method Analysis of High-Frequency Wave Coupling into Large Parallel Plate Waveguides (모스정합을 결합한 UTD에 의한 큰 평행도파관의 고주파간섭 해석)

  • 권도훈;선영식;명노훈
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.31A no.10
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    • pp.48-53
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    • 1994
  • The problem of a plane wave impinging upon a semi-infinite paralle-plate waveguide is investigated. The interior fields can be analyzed by converting the initial field into vaveguide modes. Kirchhoff approximation is usually made at the waveguide aperture in the literature. In this paper, a modified approximation is made using the Uniform Gemetrical Theory of Diffraction(UTD). Numerical results show excellent agreement between UTD-supplemented mode-matching solution and UTD solution.

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