• Title/Summary/Keyword: 선형화이론

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A Study on 2-Degree-of-Freedom Controller Design of Magnetic Levitation System by $H_{\infty}$ Control ($H_{\infty}$ 제어기법에 의한 자기부상계의 2자유도 제어기 설계에 관한 연구)

  • 김창화;양주호;문덕홍
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.10a
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    • pp.261-266
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    • 1995
  • 본 연구에서는 자기부상시스템에 대해 흡인식 자기부상방식을 채택하고 쇠구슬에 대한 운동을 상하 1자유도로 가정하여 운동방정식을 세운다. 이때 전자석이 자기 부상력은 전자석에 흐르는 전류와 인덕턴스의 함수라 가정하고, 모델의 불확실성은 자기부상계의 운동 방정식으로부터 선형화 할 때 발생하는 오차 및 파라미터 변동으로 생각한다. 또한 모델의 불확실성이 존재하더라도 정상편차 없이 부상하는 서보제어계를 설계한다. 그런데 저자등은 강인성 문제 및 정상편차 없는 것에 역점을 두어 H$_{\infty}$ 제어이론에 기초한 1형 로바스트 서보 제어기를 구하여 자기부상 시스템의 안정화 제어계로써 적용한 적이 있다. 이때 중심해 이외의 해를 이용하여 설계한 서보 제어계는 자기부상계의 과도상태시에 일어나는 오버슈트를 줄일 수 없었다. 따라서 시스템 내부 안정화를 위하여 H$_{\infty}$ 제어이론에 의해 설계된 피드백(feedback) 제어기와 물체가 부상할 때 오버슈트를 줄이고 제어량이 목표치에 잘 추종하기 위해 설계된 피드 포워드(feed forward) 제어기로써 2자유도를 갖는 제어계를 설계한다. 이렇게 설계한 2자유도 제어계를 가지고 모의 응답실험과 본 연구자들이 만든 자기부상 시스템의 실험결과를 비교함으로써 설계된 제어기의 타당성을 조사한다.

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Fuzzy Variable Structure Control of Wheel-Driven Inverted Pendulum (바퀴구동 도립진자에 대한 퍼지 가변구조제어)

  • Yoo Byung-Kook
    • Journal of the Institute of Convergence Signal Processing
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    • v.5 no.4
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    • pp.301-307
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    • 2004
  • This paper suggests a fuzzy variable structure control scheme for Takagi-Sugeno(T-S) fuzzy model and presents the attitude control of the wheel-driven inverted pendulum(WDIP) based on the proposed control algorithm. The proposed controller is designed based on the T-S fuzzy modeling of nonlinear system and the unification of gain matrices in linear subsystems that constitute the overall fuzzy model. The uncertainties generated in the gain matrix unifying procedure can be interpreted as the input disturbances of the conventional variable structure control. These unifying disturbances can be resolved by using the robustness property of the conventional variable structure system. Design example for wheel-driven inverted pendulum demonstrates the utility and validity of the proposed control scheme.

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Structural Safety Assessment of a Concrete-filled Base Frame Supporting a Motor for Centrifugal Compressor Drives (원심식 압축기 구동용 모터 베이스 프레임의 콘크리트 타설에 따른 구조안전성 평가)

  • Kim, Min-Jin;Lee, Jae-Hoon;Han, Jeong-Sam
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.1
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    • pp.1-8
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    • 2016
  • In this paper, we perform structural analysis for a base frame which is used to support a motor for large centrifugal compressor drives and a safety assessment according to the concrete placement. First, the structural analysis about four loading conditions for the motor base frame was conducted and the structural safety was evaluated through both the maximum distortion energy theory and Mohr-Coulomb theory. It was possible to perform a more reasonable safety evaluation against local stresses occurring at the discontinuous portion of the fragile structural members by applying the safety assessment through ASME VIII Div. 2. In addition, the motor base frames with and without the internal concrete placement were quantitatively compared by the structural analysis and safety evaluation using ASME code and it was found to improve the structural integrity due to the concrete placement.

A Research on a Cross Post-Distortion Balanced Linear Power Amplifier for Base-Station (기지국용 Cross Post-Distortion 평형 선형 전력 증폭기에 관한 연구)

  • Choi, Heung-Jae;Jeong, Hee-Young;Jeong, Yong-Chae;Kim, Chul-Dong
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.18 no.11
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    • pp.1262-1270
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    • 2007
  • In this paper, we propose a new distortion cancellation mechanism for a balanced power amplifier structure using the carrier cancellation loop of a feedforward and post-distortion technique. The proposed cross post-distortion balanced linear amplifier can reduce nonlinear components as much as the conventional feedforward amplifier through the output dynamic range and broad bandwidth. Also the proposed system provides higher efficiency than the feedforward. The capacities of power amplifier and error power amplifier in the proposed system are analyzed and compared with those of feedforward amplifier. Also the operation mechanisms of the three kind loops are explained. The proposed cross post-distortion balanced linear power amplifier is implemented at the IMT-2000($f_0=2.14\;GHz$) band. With the commercial high power amplifiers of total power of 240 W peak envelope power fer base-station application, the adjacent channel leakage ratio measurement with wideband code division multiple access 4FA signal shows 18.6 dB improvement at an average output power of 40 dBm. The efficiency of fabricated amplifier Improves about 2 % than the conventional feedforward amplifier.

Optimal Aerodynamic Design and Performance Analysis for Pitch-Controlled HAWT (가변 피치형 수평축 풍력 터빈의 공력 최적설계 및 피치제어 성능 연구)

  • Ryu, Ki-Wahn
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.10
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    • pp.891-898
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    • 2007
  • Optimal aerodynamic design for the pitch-controlled horizontal axis wind turbine and its aerodynamic performance for various pitch angles are performed numerically by using the blade element momentum theory. The numerical calculation includes effects such as Prandtl‘s tip loss, airfoil distribution, and wake rotation. Six different airfoils are distributed along the blade span, and the special airfoil i.e. airfoil of 40% thickness ratio is adopted at the hub side to have structural integrity. The nonlinear chord obtained from the optimal design procedure is linearized to decrease the weight and to increase the productivity with very little change of the aerodynamic performance. From the comparisons of the power, thrust, and torque coefficients with corresponding values of different pitch angles, the aerodynamic performance shows delicate changes for just $3^{\circ}$ increase or decrease of the pitch angle. For precisive pitch control, it requires the pitch control algorithm and its drive mechanism below $3^{\circ}$ increment of pitch angle. The maximum torque is generated when the speed ratio is smaller than the designed one.

Flight Control of Tilt-Rotor Airplane In Rotary-Wing Mode Using Adaptive Control Based on Output-Feedback (출력기반 적응제어기법을 이용한 틸트로터 항공기의 회전익 모드 설계연구)

  • Ha, Cheol-Keun;Im, Jae-Hyoung
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.3
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    • pp.228-235
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    • 2010
  • This paper deals with an autonomous flight controller design problem for a tilt-rotor aircraft in rotary-wing mode. The inner-loop algorithm is designed using the output-based approximate feedback linearization. The model error originated from the feedback linearization is cancelled within allowable tolerance by using single-hidden-layer neural network. According to Lyapunov direct stability theory, the adaptive update law is derived to run the neural network on-line, which is based on the linear observer dynamics. Moreover, the outer-loop algorithm is designed to track the trajectory generated from way-point guidance. Especially, heading and flight-path angle line-of-sight guidance are applied to the outer-loop to improve accuracy of the landing tracking performance. The 6-DOF nonlinear simulation shows that the overall performance of the flight control algorithm is satisfactory even though the collective input response shows instantaneous actuator saturation for a short time due to the lack of the neural network and the saturation protection logic in that loop.

A Geometrically Nonlinear Analysis for the Eccentric Degenerated Beam Element Considering Large Displacements and Large Rotations (대변위 밀 대회전을 고려한 편심된 격하 보요소의 기하학적 비선형해석)

  • Jae-Wook Lee;Young-Tae Yang
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.4
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    • pp.227-233
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    • 1992
  • To study the large displacement and large rotation problems, geometrically nonlinear formulation of eccentric degenerated beam element has been developed, where the restrictions of infinitesimal rotation increments are removed and the incremental equations are derived using the Taylor series expansion of the displacement function at time t+dt. The geometrically nonlinear analyses are carried out for the cases of cantilever, square frame, shallow arch and 45-degree bend beam and all of them are compared with each of the other results published. The element developed in the present research can be efficiently utilized for analysis of the nonlinear behaviours of structures when displacements and rotations are large.

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Microwave Filter Design using Tapered Transmission Line Theory (테이퍼 전송선 이론을 이용한 마이크로파 여파기 설계)

  • Gwon, Jin-Uk;Choe, Hyeong-Seok;Jang, Ho-Seong
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.37 no.3
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    • pp.28-34
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    • 2000
  • In this paper, we derive a spectral function and a new impedance profile of non-uniform tapered transmission lines by applying the Fourier transform to a linearized Riccati equation. We compensate the error which is from a linearized Riccati equation by adding a Taylor series to the impedance profile. Added terms remove discontinuities In the impedance profile at both ends of the non-uniform section. We show that a calculated spectrum approaches to a target spectrum of filter by an iterative method and numerical examples are given to illustrate the role of the phase function. As the design method which is shown in present paper provides a excellent adaptability for the design of non-uniform tapered transmission lines, the present method can be applied to design filters and impedance matching circuits with various passband characteristics.

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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 the Cartesian Boundary Condition of curved Walls in Computational Aeroacoustics Scheme (전산공력음향학에서 직교좌표를 이용한 곡면에서의 경계조건에 대한 고찰)

  • Bin Jonghoon;Cheong Cheolung;Lee Soogab
    • Proceedings of the Acoustical Society of Korea Conference
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    • spring
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    • pp.299-302
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    • 2000
  • 본 연구에서는 원형실린더에 의한 음향파의 산란현상을 전산공력음향학 기법을 이용하여 계산하였다. 특히 전산공력음항학에서 정확도를 위해 요구되는 좌표의 직교성을 유지하기 위해서 그에 대한 적절한 관계식을 유도하였으며 정확성의 검증을 위해서 수치적인 해를 이론적인 해와 비교, 분석하였다. 공간차분법으로는 Taylor 전개를 통하여 차 정확도를 가진 차분법을 바탕으로 주파수 공간에서 최적화 된 DRP(Dispersion Relation Preserving) 기법을 사용하였으며, 시간차분법으로는 Adams-Bashford 방법을 기준으로 최적화된 4단계 외재적(explicit) 적분방법을 사용하였다 벽면 경계조건으로는 가상점 개념을 이용한 경계조건을 사용하였으며 원방 경계조건으로서는 선형화 된 Euler 방정식의 점근해(Asymptotic Solution)을 이용한 방사경계조건(Radiation Boundary Condition)을 사용하였다.

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