• Title/Summary/Keyword: Pade 근사법

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Design of Networked based Control Systems using Pade Approximation and Reduction of Higher-order Transfer Function (Pade 근사법과 전달함수 축소기법을 이용한 네트워크 기반 제어 시스템 설계)

  • Shin, Dong-Gi;Cho, Hyun-Cheol;Han, Hyun-Tae;Lee, Jin-Woo;Lee, Kwon-Soon
    • Proceedings of the KIEE Conference
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    • 2008.04a
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    • pp.39-40
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    • 2008
  • 본 논문은 네트워크 기반 제어시스템(NCS: Networked Control Systems)모델매칭 제어기법을 적용한 효율적인 제어알고리즘을 제안한다. 비선형의 특징을 가지는 제어기 및 관측기의 시간지연을 Pade 근사법으로 선형화하여 선형시스템 이론을 적용한 모델매칭 제어기를 설계하였다. 또한, 제어기의 차수를 줄이기 위하여 저차시스템으로 근사화하여 그 타당성을 검증하였다. 제안한 제어알고리즘의 타당성 및 신뢰성을 검증하기 위하여 컴퓨터 시뮬레이션을 실시하였으며 기존의 PID 제어기법과 비교분석하였다.

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A Study on Optimal PID Controller Design Ensure the Absolute Stability (절대안정도를 보장하는 최적 PID 제어기 설계에 관한 연구)

  • Cho, Joon-Ho
    • Journal of Convergence for Information Technology
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    • v.11 no.2
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    • pp.124-129
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    • 2021
  • In this paper, an optimal controller design that guarantees absolute stability is proposed. The order of application of the thesis determines whether the delay time is included, and if the delay time is included, the delay time is approximated through the Pade approximation method. Then, the open loop transfer function for the process model and the controller transfer function is obtained, and the absolute stability interval is calculated by the Routh-Hurwitz discrimination method. In the last step, the optimal Proportional and Integral and Derivative(PID) control parameter value is calculated using a genetic algorithm using the interval obtained in the previous step. As a result, it was confirmed that the proposed method guarantees stability and is superior to the existing method in performance index by designing an optimal controller. If we study the compensation method for the delay time in the future, it is judged that better performance indicators will be obtained.

Analysis of a Microstrip Substrate-Mounted Dielectric Resonator using FDTD Method and Pade Approximation (FDTD법과 Pade 근사법을 이용한 마이크로 스트립 기판 위의 유전체 공진기 해석)

  • 오순수
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.37 no.6
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    • pp.396-396
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    • 2000
  • Three-Dimensional FDTD method is applied to analyze the dielectric resonator coupled with two microstrip lines. We model accurately the curved surface using Noriaki model. The frequency resolution is 106.46 MHz by the conventional FFT However it is not sufficient for determining its resonant frequency. So we introduce the Pad approximation and Stoer-Bulirsch method in order to have the high frequency resolution degree, 1.00 MHz. All results are compared with the measured data. As a result, we acquire the very precise result through the Pad approximation. And sinusoidal wave is applied. From the plot of the electric and magnetic field distribution, it is shown that the resonant mode is $TE_{01{\delta}}$ mode.

2D Two-Way Parabolic Equation Algorithm Using Successive Single Scattering Approach (연속적인 단일 산란 근사를 이용한 2차원 양방향 포물선 방정식 알고리즘)

  • Lee, Keun-Hwa
    • The Journal of the Acoustical Society of Korea
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    • v.25 no.7
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    • pp.339-345
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    • 2006
  • We suggest new 2D two-way Parabolic equation algorithm for multiple scattering. Our method is based on the successive performance of the single scattering approach. First. as the single scattering algorithm, the reflected and transmitted fields are calculated at the vertical interface of a range independent sector. Then. the reflected field is saved and the transmitted field Propagated to the next vertical interface with the split-step Pade method. After one step ends, the same Process is repeatedly performed with the change of the Propagation direction until the reflected field at the vertical interface is close to zero. Final incoming and outgoing fields are obtained as the sum of the wave fields obtained for each step. Our algorithm is relatively simple for the numerical implementation and requires less computational resources than the existing algorithm for multiple scattering

Diffraction Effects of Parabolic Mild-Slope Equations in the Shadow Zone behind a Detached Breakwater (이안제 배후 차폐역에서 포물선형 완경사방정식의 회절효과)

  • 김인철
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.8 no.4
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    • pp.297-304
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    • 1996
  • The purpose of this study is to observe the applicability of parabolic mild-slope equations allowing relatively large angles of wave propagation based on the use of a Pade approximant or minimax approximation and also the applicability of the models with nonlinearity of diffracted waves in the shadow zone behind coastal structures. To accomplish these objectives, numerical solutions are obtained from the above parabolic models and are compared with the results from Watanabe and Maruyama's(1984) hydraulic model test on the wave field with an impermeable detached breakwater. From this study, it is found that computed wave heights increase for the nonlinear results in comparison to the linear results due to the increased diffraction effect across the geometric shadow boundary. The model with a larger aperture with respect to the principal direction was found to spread laterally to a much greater degree where spreading angle (diffraction effect) is relatively large. which causes a distortion in the overall results due to the error accumulated by the approximation of wave length.

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An Auto-tuing of PID Conrtroller using Genetic Algorithms (유전자 알고리즘을 사용한 PID제어기의 자동동조)

  • 이수흠;정순현
    • Journal of the Institute of Convergence Signal Processing
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    • v.3 no.2
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    • pp.71-75
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    • 2002
  • We propose a new method to deal with the optimized auto-tuning for the PID controller which is used to the process-control in various fields. First of all, in this method, 1st order delay system with dead time which is modelled from the unit step response of the system is Pade-approximated, then initial values are determined by the Ziegler-Nichols method and deciding binary strings of parents generation using by the fitness values of genetic algorithms, we perform selection, crossover and mutation to generate the descendant generation. The advantage of this method is better than the Ziegler-Nickels method in characteristic of output, and has extent of applying without limit of K, L, T parameters.

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