• Title/Summary/Keyword: two-axis theory

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Deterministic Nonlinear Control of Two-Link Flexible Arm (2관절 유연한 로봇 팔에 대한 비선형 제어)

  • Han, Jong-Kil;Son, Yong-Su
    • The Journal of the Korea institute of electronic communication sciences
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    • v.4 no.3
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    • pp.236-242
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    • 2009
  • When two-link flexible arm is rotated about an joint axis, transverse vibration may occur. In this paper, vibration dynamics of flexible robot arm is modeled by using Bernoulli-Euler beam theory and Lagrange equation. Using the fact that matrix $\dot{D}$-2C is skew symmetric, new controllers which have a simplified structure with less computational burden is proposed. Lyapunov stability theory is applied to achieve a stable deterministic nonlinear controller for the regulation of joint angle.

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Synchronous Control of a Two-Axes Driving System by Disturbance Observer (외란 관측기를 이용한 2축 구동 시스템의 동기제어)

  • Byeon, Jeong-Hwan;Yeo, Dong-Jun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.2
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    • pp.242-249
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    • 2001
  • In this study, a methodology of synchronous control has been developed that can is applied to position synchronization of a two-axes driving system such as overhead crane. The synchronous error is caused by model uncertainties and torque load at each axis. To overcome these problems, the synchronous control system has been composed of two disturbance observers to calculate the torque disturbance and one synchronous controller to eliminate synchronous error. By considering model uncertainties of each axis, the synchronous controller has been designed using H(sub)$\infty$ control theory. The effectiveness of the proposed method has been verified through simulation.

Control Strategy to Interconnect the Utility Line for 3-Phase Inverter (태양광발전 시스템용 인버터의 계통연계 제어)

  • Jung, Young-Seok;Lee, Jung-Thae;Jung, Myung-Wong;Yu, Gwon-Jong;Song, Jin-Soo;Choi, Jae-Ho
    • Proceedings of the KIEE Conference
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    • 1996.07a
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    • pp.336-338
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    • 1996
  • In this paper, a simple control strategy to interconnect the utility line system for three-phase inverter. Conventionally, such interconnection is based on the 3-phase time-domain waveform analysis, though the control based on the plane defined by the two-axis theory is common in the area of the motor control. The new instantaneous power control strategy is introduced, which is based on the d-q axis theory. Simulation results show that proposed control method has good controllability with simple strategy.

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Change and Development of Therapeutic Exercise (운동치료의 변화와 발전)

  • Bae, Sung-Soo;Kim, Seung-Joon;Lee, Keun-Heui
    • The Journal of Korean Physical Therapy
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    • v.13 no.3
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    • pp.751-760
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    • 2001
  • Therapeutic exercise had developed with human being. It depend upon development of physiology, anatomy, kinesiology and biomechanics. There are two categories in therapeutic exorcise. One is classical therapeutic exercise which is a activity of one muscle group, one axis and one plane motion. It is ROM, FRE. osteokinematics, arthrokinematics. Another is neurophysiological approach which is multi muscle group, multi axis and plane exercise. It is PNF and Bobath that start from 1940 to early 1950. Classical therapeutic exorcise develop from ROM to osteokinematics and arthrokinematics. It is foundation of the joint mobilization and orthopaedic manual physical therapy. Neurophysiological therapeutic approaching has more theory and skills than before. Bobath methods had changed from reflex-inhibiting posture to key points of control and added the theory of musculoskeletal, biomechanics, motor behaviour and cognition. We call it motor control.

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Vector Control for Two-Phase Inverter-Fed Two-Phase Induction Motors (2상 유도전동기 구동 2상 인버터의 벡터 제어)

  • Jang, Do-Hyun;Cho, Young-Hoon
    • The Transactions of the Korean Institute of Power Electronics
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    • v.12 no.4
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    • pp.310-317
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    • 2007
  • In this paper, the system equation for the balanced two-phase induction motor is derived and the characteristics for speed control is also analyzed in the region of constant torque and constant power. The modified vector control theory is applied to two-phase motor drive system. The speed of two-phase motor drive can be controlled precisely by the modified indirect vector control theory. The modified vector control theory is simpler comparing to the conventional vector control because of the simpler axis transformation. The computer simulations and the experimental results presented to confirm the vector control for two-phase inverter fed two phase induction motor system.

Finite Element Analysis for Time Response of a Flexible Spinning Disk with Translating Misalignment (회전축 정렬불량을 가지는 유연회전디스크의 유한요소법을 이용한 시간응답해석)

  • Heo, Jin-Uk;Jeong, Jin-Tae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.9
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    • pp.1905-1913
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    • 2002
  • Using the finite element method, this study investigates the dynamic time responses of a flexible spinning disk of which axis of rotation is misaligned with the axis of symmetry. The misalignment between the axes of symmetry and rotation is one of the major vibration sources in optical disk drives such as CD-ROM, CD-R, CD-RW and DVD drives. Based upon the Kirchhoff plate theory and the von-Karman strain theory, three coupled equations of motion for the misaligned disk are obtained: two of the equations are for the in-plane motion while the other is for the out-of-plane motion. After transforming these equations into two weak forms for the in-plane and out-of-plane motions, the weak forms are discretized by using newly defined annular sector finite elements. Applying the generalized-$\alpha$ time integration method to the discretized equations, the time responses and the displacement distributions are computed and then the effects of the misalign ment on the responses and the distributions are analyzed. The computation results show that the misalignment has an influence on the magnitudes of the in-plane displacements and it results in the amplitude modulation or the beat phenomenon in the time responses of the out-of-plane displacement.

Analysis of Flatness of a Two-Axis Linear Motor with Grey Theory (그레이 이론을 이용한 2 축 리니어 모터의 평면도 분석)

  • 오준모;김준현;최우천
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.686-689
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    • 2004
  • As the demands of X-Y linear motors increase, it becomes very important to measure flatness errors and to compensate them. In this study, in order to investigate flatness errors, a laser interferometer is used for measurement. To improve the measurement efficiency, a Union Jack method is adopted instead of a square method. The square method is frequently used because of its accuracy, but it requires many measurement points. In this study, the Union Jack method with Grey Theory is used. By using the Grey Theory, unmeasured data are predicted, and these are compared with results of the square method. The results show that the Union Jack method with Grey Theory is accurate enough to replace the square method.

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A Theoretical Study on Free Gyroscopic Compass

  • Jeong, Tae-Gweon;Park, Sok-Chu
    • Journal of Navigation and Port Research
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    • v.30 no.9
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    • pp.729-734
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    • 2006
  • The authors aim to establish the theory necessary for developing the free gyroscopic compass and focus on mainly two points. One is to suggest north-finding principle by the angular velocity of the earth's rotation, and the other is to suggest orthogonal coordinate transformations of the motion rate of the spin axis, which transforms the components of motion rate in the free gyro frame into those in the platform frame and that this transformed rate is, in turn, transformed into the NED(north-east-down) navigation frame. Subsequently, ship's heading is obtained by using the fore-aft and athwartship components of the motion rate of the spin axis in the NED frame. In addition it was found how to solve the transformation matrix necessary for transforming each frame.

Attitude Stabilization of a Quad-Rotor UAV Using a Two-camera Vision System

  • Won, Dae-Yeon;Tahk, Min-Jea
    • International Journal of Aeronautical and Space Sciences
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    • v.9 no.1
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    • pp.76-84
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    • 2008
  • This paper is mainly concerned with the vision-based attitude stabilization of a quad-rotor UAV. The methods for attitude control rely on computing the roll and pitch angles of the vehicle from a two-camera vision system. One camera is attached to the body-fixed x-axis and the other to the body-fixed y-axis. The attitude computation for the quad-rotor UAV is performed by image processing consisting of Canny edge and Hough line detection. A proportional and integral controller is employed for the attitude hold autopilot. In this paper, the quad-rotor UAV is modeled by 6-DOF nonlinear equations of motion that includes rotor aerodynamics with blade element theory. The performance of the proposed method is evaluated through 3D environmental numerical simulations.

Rate-Dependence of Off-Axis Tensile Behavior of Cross-Ply CFRP Laminates at Elevated Temperature and Its Simulation

  • Takeuchi, Fumi;Kawai, Masamichi;Zhang, Jian-Qi;Matsuda, Tetsuya
    • Advanced Composite Materials
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    • v.17 no.1
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    • pp.57-73
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    • 2008
  • The present paper focuses on experimental verification of the ply-by-ply basis inelastic analysis of multidirectional laminates. First of all, rate dependence of the tensile behavior of balanced symmetric cross-ply T800H/epoxy laminates with a $[0/90]_{3S}$ lay-up under off-axis loading conditions at $100^{\circ}C$ is examined. Uniaxial tension tests are performed on plain coupon specimens with various fiber orientations $[{\theta}/(90-{\theta})]_{3S}$ ($\theta$ = 0, 5, 15, 45 and $90^{\circ}C$) at two different strain rates (1.0 and 0.01%/min). The off-axis stress.strain curves exhibit marked nonlinearity for all the off-axis fiber orientations except for the on-axis fiber orientations $\theta$ = 0 and $90^{\circ}$, regardless of the strain rates. Strain rate has significant influences not only on the off-axis flow stress in the regime of nonlinear response but also on the apparent off-axis elastic modulus in the regime of initial linear response. A macromechanical constitutive model based on a ply viscoplasticity model and the classical laminated plate theory is applied to predictions of the rate-dependent off-axis nonlinear behavior of the cross-ply CFRP laminate. The material constants involved by the ply viscoplasticity model are identified on the basis of the experimental results on the unidirectional laminate of the same carbon/epoxy system. It is demonstrated that good agreements between the predicted and observed results are obtained by taking account of the fiber rotation induced by deformation as well as the rate dependence of the initial Young's moduli.