• Title/Summary/Keyword: 이선형 모델

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A Study on the Design of Linear PID Controller (선형 PID 제어기 설계에 관한 연구)

  • Cho, Joon-Ho
    • Journal of Industrial Convergence
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    • v.16 no.2
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    • pp.33-39
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    • 2018
  • This paper describes the design method of the linear PID controller and proposed the design method in the future. The first PID design method is to ensure phase margin and gain margin. This method guarantees stability by designing in the frequency domain. The second method is an internal model control method. This method is to design the PID controller using the parameters of the internal model after identifying the internal model for the control model. Therefore, this method has a strong disturbance characteristic. Finally, a proposed Cascade and smith-Predictor controller. The combination of the cascade controller and the smith-predator of this method is a controller structure that has two advantages: robust control and optimal control. This method can obtain the performance evaluation index as the optimal controller design method. This PID controller design method becomes the basis of the nonlinear method and is being continuously studied.

A Study on the Acoustic Non-linearity Due to Micro-Crack (미세 크랙에 의한 음향 비선형성의 발생에 대한 연구)

  • 강석환
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1998.06e
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    • pp.115-118
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    • 1998
  • 본 연구에서는 매우 작은 틈새를 갖는 미세 크랙을 초음파가 투과할 때, 크랙 면의 부분 접촉의 의한 새로운 음향 비선형성의 발생 구조를 제안하고 그 정당성을 검증하는데 목적을 두고 있다. 이를 위하여, 초음파가 미세 크랙을 투과할 때 부분 접촉 효과에 의해 나타나게 되는 파형을 반파 모델로 모델링하고 이를 통해 고주파 조화 성분(Harmonics)이 발생하는 원인을 제시하였으며 틈새의 크기와 음향 비선형성의 크기와의 상관 관계를 시뮬레이션과 실험을 통하여 확인하였다. 이를 통해 미세 틈새와 음향 비선형성과의 상관 관계를 밝히고 틈새의 크기가 증가해 감에 따라 음향 비선형성이 증가함을 확인할 수 있었다.

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고체 추진제의 비선형 점탄성 구성모델

  • 정규동;김봉규;윤성기
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 1997.11a
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    • pp.5-5
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    • 1997
  • 고체추진제에 대한 비선형 점탄성 구성모델이 제시되었다 추진제 손상의 원인으로서 바인더와 AP 충전제사이의 접착분리를 고려하였으며, 점탄성 드웨팅판별식이 개발되었다. 손상에 의한 추진제의 연화는 모듈러스 저하로서 취급되었으며, 모듈러스저하 계산시에 드웨팅에 의하여 야기된 미소진공구의 모듈러스는 유한 상수로서 간주되었다. 바인더와 AP 충전제사이의 접착에너지는 180$^{\circ}$ 접착박리시험으로 측정하였다. 반복하중시의 비선형성은 전단변형률 불변량의 함수로서 고려되었다. 이 구성모델은 여러 하중조건에 대한 시편실험과 비교되어 잘 일치하였으며, 복잡한 미시구조학적 역학기구 없이 간단하게 고체 추진제의 거동을 예측할 수 있게 한다.

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Development of Models for Estimating Growth of Quinoa (Chenopodium quinoa Willd.) in a Closed-Type Plant Factory System (완전제어형 식물공장에서 퀴노아 (Chenopodium quinoa Willd.)의 생장을 예측하기 위한 모델 개발)

  • Austin, Jirapa;Cho, Young-Yeol
    • Journal of Bio-Environment Control
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    • v.27 no.4
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    • pp.326-331
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    • 2018
  • Crop growth models are useful tools for understanding and integrating knowledge about crop growth. Models for predicting plant height, net photosynthesis rate, and plant growth of quinoa (Chenopodium quinoa Willd.) as a leafy vegetable in a closed-type plant factory system were developed using empirical model equations such as linear, quadratic, non-rectangular hyperbola, and expolinear equations. Plant growth and yield were measured at 5-day intervals after transplanting. Photosynthesis and growth curve models were calculated. Linear and curve relationships were obtained between plant heights and days after transplanting (DAT), however, accuracy of the equation to estimate plant height was linear equation. A non-rectangular hyperbola model was chosen as the response function of net photosynthesis. The light compensation point, light saturation point, and respiration rate were 29, 813 and $3.4{\mu}mol{\cdot}m^{-2}{\cdot}s^{-1}$, respectively. The shoot fresh weight showed a linear relationship with the shoot dry weight. The regression coefficient of the shoot dry weight was 0.75 ($R^2=0.921^{***}$). A non-linear regression was carried out to describe the increase in shoot dry weight of quinoa as a function of time using an expolinear equation. The crop growth rate and relative growth rate were $22.9g{\cdot}m^{-2}{\cdot}d^{-1}$ and $0.28g{\cdot}g^{-1}{\cdot}d^{-1}$, respectively. These models can accurately estimate plant height, net photosynthesis rate, shoot fresh weight, and shoot dry weight of quinoa.

State Feedback Linearization of Discrete-Time Nonlinear Systems via T-S Fuzzy Model (T-S 퍼지모델을 이용한 이산 시간 비선형계통의 상태 궤환 선형화)

  • Kim, Tae-Kue;Wang, Fa-Guang;Park, Seung-Kyu;Yoon, Tae-Sung;Ahn, Ho-Kyun;Kwak, Gun-Pyong
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.6
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    • pp.865-871
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    • 2009
  • In this paper, a novel feedback linearization is proposed for discrete-time nonlinear systems described by discrete-time T-S fuzzy models. The local linear models of a T-S fuzzy model are transformed to a controllable canonical form respectively, and their T-S fuzzy combination results in a feedback linearizable Tagaki-Sugeno fuzzy model. Based on this model, a nonlinear state feedback linearizing input is determined. Nonlinear state transformation is inferred from the linear state transformations for the controllable canonical forms. The proposed method of this paper is more intuitive and easier to understand mathematically compared to the well-known feedback linearization technique which requires a profound mathematical background. The feedback linearizable condition of this paper is also weakened compared to the conventional feedback linearization. This means that larger class of nonlinear systems is linearizable compared to the case of classical linearization.

Error Analysis of Linear Mixture Model using Laboratory Spectral Measurements (실내 분광 측정자료를 이용한 선형혼합모델의 오차 분석)

  • Kim, Sun-Hwa;Shin, Jung-Il;Shin, Sang-Min;Lee, Kyu-Sung
    • Korean Journal of Remote Sensing
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    • v.23 no.6
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    • pp.537-546
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    • 2007
  • In hyperspectral remote sensing, linear spectral mixture model is a common procedure decomposing into the components of a mixed pixel and estimating the fraction of each end-member. Although linear spectral mixture model is frequently used in geology and mineral mapping because this model is simple and easy to apply, this model is not always valid in forest and urban area having rather complex structure. This study aims to analyze possible error for applying linear spectral mixture model. For the study, we measured laboratory spectra of mixture sample, having various materials, fractions, distributions. The accuracy of linear mixture model is low with the mixture sample having similar fraction because the multi-scattering between components is maximum. Additionally, this multi-scattering is related to the types, fraction, and distribution of components. Further analysis is necessary to quantify errors from linear spectral mixture model.

Automotive Seat Vibration Control with a Nonlinear Seat Cushion Model (비선형 시트 쿠션 모델을 고려한 자동차 시트의 진동 제어)

  • Mo, Chang-Ki
    • Journal of the Korean Society of Industry Convergence
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    • v.6 no.3
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    • pp.261-266
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    • 2003
  • 이 논문에서는 반능동 진동 흡수기를 통합 시트/섀시 현가 장치에 확대, 적용하여 그 성능을 조사하였다. 통함 현가시스템의 성능분석을 위해 집중 인체질량과 함께 실험적으로 입증된 한 비선형 시트 쿠션 모델을 도입하였다. 또한 3 자유도 시트/섀시 현가시스템의 효과적인 진동제어를 위해 리아푸노브 바이스테이트 제어법칙을 사용하였다. 시뮬레이션결과 반능동 통합 현가장치는 시트 쿠션 모델과 관계없이 운전자의 승차감과 관련 있는 시트의 절대가속도 크기와 시트쿠션의 시트 트랙에 대한 상대변위를 상당히 감소시킬 수 있음을 알 수 있었다. 그러나, 주로 사용되어온 선형 쿠션 모델을 사용한 경우보다 비선형쿠션 모델을 사용한 경우의 제진성능이 약간 저조함을 알 수 있었다. 따라서, 자동차 시트 설계시 성능분석을 위해서는 실제의(비선형의) 시트 쿠션 특성을 적용해야 함을 알 수 있다.

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Study of Effect of Tractive Force on Bicycle Self-Stability (구동력을 고려한 자전거 안정성에 관한 연구)

  • Souh, Byung-Yil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.11
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    • pp.1319-1326
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    • 2012
  • This study focuses on the influence of tractive forces on the self-stability of a bicycle. The eigen-value analysis of the self-stability of a passive rider control linear bicycle model can be used to analyze the self-stability. A linear bicycle model with front and rear driving forces is developed. The influence of tractive forces on the self-stability is identified by using the developed model. A nonlinear multi-body bicycle model is used to confirm the results of the linear analysis.

Controller synthesis procedure for the TS fuzzy systems with affine local model: A study focusing on the inverted pendulum control problem (애파인 국소모델을 갖는 TS퍼지 시스템을 위한 제어기 설계방안: 도립진자 문제를 중심으로 한 고찰)

  • 곽기호;박주영
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.05a
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    • pp.55-58
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    • 2000
  • 본 논문은 애파인 국소모델을 갖는 TS 퍼지 모델로 표현된 비선형 시스템의 제어에 관하여 다룬다. 여기서 사용하는 TS 퍼지 모델은 실제 모델의 비선형 미분 방정식의 근사로부터 유도된다. 그리고 이 모델을 바탕으로 비례 입력행렬을 가지는 시스템에 대해 안정화시킬 수 있는 TS 퍼지 제어기를 구한다. 본 논문의 설계 과정은 도립진자 제어를 통해 검증한다.

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Analysis of Linear and Nonlinear Relative Orbit Dynamics for Satellite Formation Flying (선형 및 비선형 상대궤도운동 모델들의 정확도 분석)

  • Park, Han-Earl;Park, Sang-Young;Lee, Sang-Jin;Choi, Kyu-Hong
    • Journal of Astronomy and Space Sciences
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    • v.26 no.3
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    • pp.317-328
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    • 2009
  • Relative dynamic models of satellites which describe the relative motion between two satellites is fundamental for research on the formation flying. The accuracy of various linearized or nonlinear models of relative motion is analyzed and compared. A 'Modeling Error Index (MEI)' is defined for evaluating the accuracy of models. The accuracy of the relative dynamic models in various orbit circumstance are obtained by calculating the modeling error with various eccentricities of the chief orbit and distances between the chief and the deputy. It is found that the modeling errors of the relative dynamic models have different values according to the eccentricity, J2 perturbation, and the distance between satellites. Since the evaluated accuracy of various models in this paper means the error of dynamic models of the formation flying, the results of this paper are very useful for choosing the appropriate relative model of the formation flying mission.