• 제목/요약/키워드: jacobian matrix

검색결과 230건 처리시간 0.027초

반복 계산법 및 계산 가속기법에 의한 다물체 동역학 해법 (An Accelerated Iterative Method for the Dynamic Analysis of Multibody Systems)

  • 이기수;임철호
    • 대한기계학회논문집
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    • 제16권5호
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    • pp.899-909
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    • 1992
  • 본 연구에서는 대수 미분 방정식을 풀기위한 새로운 방법을 소개한다. 본 작업에서는 Lagrange multiplier의 값이 사전에 주어졌다고 생각하여, 즉 대수 미분 방정식을 순수한 상미분 방정식으로 변환하여, 잘 알려진 시간 적분법을 적용한다. 또 정확한 Lagrange Multiplier값은 반복 계산법(iterative scheme)에 의하여 계산한 다. 시간 적분의 정확도와 제한 조건의 정확도는 모두 보장된다. 특히 제한 조건 의 경우, 위치, 속도 및 가속도의 제한 조건이 모두 만족된다. 또 정확한 Lagrange multiplier의 값을 계산 가속기법(acceleration technique)에 의하여 대단히 빨리 계 산한다. 독립 좌표를 구할 필요가 없으므로 거대한 행열을 decomposition하는 등의 복잡한 절차가 불필요하며 N-R 반복법 역시 불필요하다. 이러한 사항들 및 Jacobian 행열의 sparsity로 인하여 경제적인 계산이 가능하게 된다.

6자유도 병렬형 모션 시뮬레이터 개발 (Development of a New 6-DOF Parallel-type Motion Simulator)

  • 김한성
    • 한국생산제조학회지
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    • 제19권2호
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    • pp.171-177
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    • 2010
  • This paper presents the development of a new 6-DOF parallel-kinematic motion simulator. The moving platform is connected to the fixed base by six P-S-U (Prismatic-Spherical-Universal) serial chains. Comparing with the well-known Gough-Stewart platform-type motion simulator, it uses commercialized linear actuators mounted at the fixed base whereas a 6-UPS manipulator uses telescopic linear ones. Therefore, the proposed motion simulator has the advantages of easier fabrication and lower inertia over a 6-UPS counterpart. Furthermore, since most forces acting along the legs are transmitted to the structure of linear actuators, smaller actuation forces are required. The inverse position and Jacobian matrix are analyzed. In order to further increase workspace, inclined arrangement of universal joints is introduced. The optimal design considering workspace and force transmission capability has been performed. The prototype motion simulator and PC-based real-time controller have been developed. Finally, position control experiment on the prototype has been performed.

부분 내재적 조화 균형법을 이용한 주기적인 2차원 비정상 유동 해석 (2-D Periodic Unsteady Flow Analysis Using a Partially Implicit Harmonic Balance Method)

  • 임동균;박수형;권장혁
    • 한국항공우주학회지
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    • 제38권12호
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    • pp.1153-1161
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    • 2010
  • 본 연구에서는 주기적 비정상 유동 해석을 위해 푸리에 변환을 이용하는 조화 균형법의 효율적인 해법을 제안한다. 내재적으로 유속항을 처리하고 외재적으로 조화 원천항을 처리하였다. 외재적 조화 균형법 보다 더 빠르게 수렴 시킬 수 있으며 내재적 조화 균형법을 적용할 때 추가되는 자코비안 행렬을 처리할 필요가 없다. 또한 완전 내재적 기법에 상응하는 수준의 수렴안정성을 확인할 수 있었다. 2차원 비정상 유동 문제로 피칭하는 NACA0012 익형에 적용하였으며 이중 시간 적분법 및 외재적 Runge-Kutta기법의 해와 매우 일치하는 결과를 얻었다.

가변형상 트러스구조물의 자세제어 (Configuration Control of Vaiable-Geometry Truss Structures)

  • 노태환;김태익;박현철;권영두
    • 대한기계학회논문집A
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    • 제20권9호
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    • pp.2854-2865
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    • 1996
  • The concept of variable-geometry truss structure(VGTS) is introduced as a class of actively controlled adaptive structure. VGTS can purposefully vary its geometric configurations by changing the lengths of some members of the structure. General kinematics and inverse kinematics of a statically determinate VGTS(variable geometry truss structure) are studied. The solution technique is based on the Jacobian matrix obtained via joint equilibrium equations. Pseudoinverse control method is applied to resolve the redundancy of a large VGTS. two types of actuator layout of octahedral type VGTS, VG truss and Stewart platform, are compared. Introducing the concept of performance index, Stewart platform based layout was found to has less consumption energy and manipulation time. A functional VGTS model with 3 octahedral modules is designed and manufactured for the labaratory demonstration. Six vertically located length-variable members are used to create general 6 d.o.f. motions.

퍼지모델 기반 칼만 필터를 이용한 레이다 표적 추적 (Radar Tracking Using a Fuzzy-Model-Based Kalman Filter)

  • Lee, Bum-Jik;Joo, Young-Hoon;Park, Jin-Bae
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2003년도 춘계 학술대회 학술발표 논문집
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    • pp.303-306
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    • 2003
  • In radar tracking, since the sensor measures range, azimuth and elevation angle of a target, the measurement equation is nonlinear and the extended Kalman filter (EKF) is applied to nonlinear estimation. The conventional EKF has been widely used as a nonlinear filter for radar tracking, but the considerably large measurement error due to the linearization of nonlinear function in highly nonlinear situations may deteriorate the performance of the EKF To solve this problem, a fuzzy-model-based Kalman filter (FMBKF) is proposed for radar tracking. The FMBKF uses a local model approximation based on a TS fuzzy model instead of a Jacobian matrix to linearize nonlinear measurement equation. The hybrid GA and RLS method is used to identify the premise and the consequent parameters and the rule numbers of this TS fuzzy model. In two-dimensional radar tracking problem, the proposed method is compared with the conventional EKF.

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Preliminary Test of Adaptive Neuro-Fuzzy Inference System Controller for Spacecraft Attitude Control

  • Kim, Sung-Woo;Park, Sang-Young;Park, Chan-Deok
    • Journal of Astronomy and Space Sciences
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    • 제29권4호
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    • pp.389-395
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    • 2012
  • The problem of spacecraft attitude control is solved using an adaptive neuro-fuzzy inference system (ANFIS). An ANFIS produces a control signal for one of the three axes of a spacecraft's body frame, so in total three ANFISs are constructed for 3-axis attitude control. The fuzzy inference system of the ANFIS is initialized using a subtractive clustering method. The ANFIS is trained by a hybrid learning algorithm using the data obtained from attitude control simulations using state-dependent Riccati equation controller. The training data set for each axis is composed of state errors for 3 axes (roll, pitch, and yaw) and a control signal for one of the 3 axes. The stability region of the ANFIS controller is estimated numerically based on Lyapunov stability theory using a numerical method to calculate Jacobian matrix. To measure the performance of the ANFIS controller, root mean square error and correlation factor are used as performance indicators. The performance is tested on two ANFIS controllers trained in different conditions. The test results show that the performance indicators are proper in the sense that the ANFIS controller with the larger stability region provides better performance according to the performance indicators.

스튜어트 플랫폼의 순방향/역방향 힘 전달 해석 (The Forward/Inverse Force Transmission Analyses of the Stewart Platform)

  • 김한성;최용제
    • 한국정밀공학회지
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    • 제16권5호통권98호
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    • pp.200-208
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    • 1999
  • The statics relation of the Stewart platform has been investigated from the viewpoint of the forward and inverse force transmission analyses. Two eigenvalue problems corresponding to the forward and inverse force transmission analyses have been formulated. The forward force transmission analysis is to determine the ranges of the magnitudes of the force and moment generated at the end-effector for the given magnitude of linear actuator forces. In reverse order, the inverse force transmission analysis is to find the range of the magnitude of actuator forces for the given ranges of the magnitudes of the force and moment at the end-effector. The inverse force transmission analysis is important since it can provide a designer with a valuable information about how to choose the linear actuators. It has been proved that two eigenvalue problems have a reciprocal relation, which implies that solving either of the eigenvalue problems may complete the forward/inverse force transmission analysis. A numerical example has been also presented.

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Dynamic analysis of multi-functional maintenance platform based on Newton-Euler method and improved virtual work principle

  • Li, Dongyi;Lu, Kun;Cheng, Yong;Zhao, Wenlong;Yang, Songzhu;Zhang, Yu;Li, Junwei;Shi, Shanshuang
    • Nuclear Engineering and Technology
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    • 제52권11호
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    • pp.2630-2637
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    • 2020
  • The structure design of divertor Multi-Functional Maintenance Platform (MFMP) actuated by hydraulic system for China Fusion Engineering Test Reactor (CFETR) was introduced in this paper. The model of MFMP was established according to maintenance requirements. In this paper, Newton-Euler method and the improved virtual work principle were used, the equivalent driving force of each actuator was obtained through the equivalent Jacobian inverse matrix derived from velocity relationship among the components. The accuracy of the model was verified by ADAMS simulation. The stability control of the heavy-duty components driven by hydraulic cylinders based on Newton-Euler method and improved virtual work principle was established.

도립진자 시스템을 통한 최적 상태 되먹임 제어기의 성능 검증 (The Performance Verification of Optimal State Feedback Controllers via The Inverted Pendulum)

  • 이종연;이보라;현창호
    • 한국지능시스템학회논문지
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    • 제20권6호
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    • pp.768-773
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    • 2010
  • 본 논문에서는 도립진자 시스템을 이용한 최적 상태 되먹임 제어기 설계 및 성능 검증을 소개한다. 제안하고 있는 최적 상태 되먹임 제어기는 최적제어 이론을 기반으로 입력크기와 응답성능의 최적값을 고려하였고 뿐만 아니라, 적분제어기법을 도입함으로써 정상상태오차를 줄이도록 하였다. 실험에 사용된 도립진자 시스템은 (주)셈웨어의 PC기반 CEM-IP-01으로써 제안된 제어기를 적용한다. 마지막으로 제안된 제어기와 일반 상태 되먹임 제어기를 모의실험과 실험을 통하여 비교함으로써 제안된 제어기의 성능을 검증한다.

새로운 행렬 분할법을 이용한 최적 무효전력/전압제어 (Optimal Reactive Power and Voltage Control Using A New Matrix Decomposition Method)

  • 박영문;김두현;김재철
    • 대한전기학회논문지
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    • 제39권3호
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    • pp.232-239
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    • 1990
  • A new algorithm is suggested to solve the optimal reactive power and voltage control (optimal VAR control) problem. The model minimizes the real power losses in the system. The constraints include the reactive power limits of the generators, limits on the bus voltages and the operating limits of control variables-the transformer tap positions generator terminal voltages and switchable reactive power sources. The method presented herein, using a newly developed Jacobian decomposition method, employs linearized sensitivity relationships of power systems to establish both the objective function for minimizing the system losses and the system performance sensitivities relating dependent and control variables. The algorithm consists of two modules, i.e. the Q-V module for reactive power-voltage control, and load flow module for computational error adjustments. In particular the acceleration factor technique is introduced to enhance the convergence property in Q-V module. The combined use of the afore-mentioned two modules ensures more effective and efficient solutions for optimal reactive power dispatch problems. Results of the application of the method to a sample system and other worst-case systems demonstrated that the algorithm suggested herein is compared favourably with conventional ones in terms of computation accuracy and convergence characteristics.

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