• Title/Summary/Keyword: DOF(degree of freedom)

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A Study on Robustness of a Two-Degree-of-Freedom Servosystem with Nonlinear Type Uncertainty(II) - Rubust Stability Condition (비선형 불확실성에 대한 서보계의 강인성에 관한 고찰(II) - 강인 안정성 조건)

  • Kim, Young-Bok
    • Journal of Ocean Engineering and Technology
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    • v.13 no.3B
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    • pp.99-105
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    • 1999
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, if the mathematical model of the plant is exact and no disturbance input exists, the integral compensation is not necessary. From this point of view, a two-degree-of-freedom(2DOF) servosystem has been proposed, in which the integral compensation is effective only when there is a modeling error or a disturbance input. The present paper considers a robust stability of this 2DOF servosystem with nonlinear type uncertainty in the system, and a robust stability condition for the servosystem is introduced. This result guarantees that if the plant uncertainty is in the permissible set defined by the condition, gain tuning can be carried out to suppress the influence of the plant uncertainties and disturbance inputs.

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Wiener-Hopf Design of the Two-Degree-of-Freedom Controller for the Standard Model (표준 모델의 2자유도 위너-호프 제어기 설계)

  • Jo, Yong-Seok;Choe, Gun-Ho;Park, Gi-Heon
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.3
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    • pp.102-110
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    • 2000
  • In this paper, Wiener-Hopf design of the two-degree-of-freedom(2DOF) controller configuration is treated for the standard plant model. It is shown that the 2DOF structure makes it possible to treat the design of feedback properties and reference tracking problem separately. Wiener-Hopf factorization technique is used to obtain the optimal controller which minimizes a given quadratic cost index. The class of all stabilizing controllers that yield finite cost index is also characterized. An illustrative example is given for the step reference tracking problem which can not be treated by the conventional H2 controller formula.

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An Ultraprecise Machining System with a Hexapod Device to Measure Six-Degree-Of-Freedom Relative Motions Between The Tool And Workpiece

  • Oiwa, Takaaki
    • International Journal of Precision Engineering and Manufacturing
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    • v.8 no.2
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    • pp.3-8
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    • 2007
  • A machining system that generates accurate relative motions between the tool and workpiece is required to realize ultra precise machining or measurements. Accuracy improvements for each element of the machine are also required. This paper proposes a machining system that uses a compensation device for the six-degree-of-freedom (6-DOF) motion error between the tool and workpiece. The compensation device eliminates elastic and thermal errors of the joints and links due to temperature fluctuations and external forces. A hexapod parallel kinematics mechanism installed between the tool spindle and surface plate is passively actuated by a conventional machine. Then the parallel mechanism measures the 6-DOF motions. We describe the conception and fundamentals of the system and test a passively extensible strut with a compensation device for the joint errors.

Analysis of Parallel Mechanisms with Forward Position Closed-Form Solution with Application to Hybrid Manipulator (정위치 해석해를 가지는 병렬 메카니즘에 관한 분석과 혼합구조 매니퓰레이터로의 활용)

  • 김희국;이병주
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.3
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    • pp.324-337
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    • 1999
  • In this work, a new 3-PSP type spatial 3-degree-of-freedom parallel mechanism is proposed. And a 6 DOF hybrid manipulator which consists of a 3-PPR type planar 3 DOF parallel mechanism and a new 3-PSP type spatial 3-degree-of-freedom parallel mechanism is proposed. Both 3 DOF mechanism modules have closed-form forward position solutions and particularly, 3-PSP spatial module has unique forward position solution. Firstly, the closed-form position analysis and first-order kinematic analysis for the proposed 3-PSP type module are carried out, and the first-order kinematic characteristics are examined via maximum singular value and the isotropic index of the mechanism. It is shown through these analyses that the mechanism has excellent isotrpic property throughout the workspace. Secondly, position and kinematic analysis of the 3-PPR planar module are briefly described. Thirdly, the forward position analysis for the 3-PPR 3-PSP type 6 degree-of-freedom hybrid mechanism consisting of a 3-PPR planar module and a 3-PSP spatial module is performed along with the analysis of the workspace size and first-order kinematic characteristics. The kinematic characteristics of the proposed hybrid manipulator are compared to those of geometrically similar Stewart manipulator.

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Robust Stability of a Servosystem with Multiplicative Uncertainty (곱셈형 불확실성을 갖는 서보계의 강인한 안정성)

  • Kim, Yeong Bok
    • Journal of Advanced Marine Engineering and Technology
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    • v.20 no.2
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    • pp.125-125
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    • 1996
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, the mathematical model of the plant is exact and no disturbance input exists, the integral compensation is not necessary. From this point of view, a two-degree-of-freedom(2DOF) servosystem has been proposed, in which the integral compensation is effective only when there is a modeling error or a disturbance input. The present paper considers robust stability of this 2DOF servosystem to the unstructured uncertainty of the controlled plant. A robust stability condition is obtained using Riccati inequality, which is independent of the gain of the integral compensator. An example is presented, which demonstrates that the tracking response of the 2DOF servosystem with uncertainty becomes faster when the integral gain made larger under the robust stability condition.

Robust Stability of a Servosystem with Multiplicative Uncertainty (곱셈형 불확실성을 갖는 서보계의 강인한 안정성)

  • 김영복
    • Journal of Advanced Marine Engineering and Technology
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    • v.20 no.2
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    • pp.57-62
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    • 1996
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, the mathematical model of the plant is exact and no disturbance input exists, the integral compensation is not necessary. From this point of view, a two-degree-of-freedom(2DOF) servosystem has been proposed, in which the integral compensation is effective only when there is a modeling error or a disturbance input. The present paper considers robust stability of this 2DOF servosystem to the unstructured uncertainty of the controlled plant. A robust stability condition is obtained using Riccati inequality, which is independent of the gain of the integral compensator. An example is presented, which demonstrates that the tracking response of the 2DOF servosystem with uncertainty becomes faster when the integral gain made larger under the robust stability condition.

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Design and Analysis of Double Excited 3-Degree-of-Freedom Motor for Robots

  • Kwon, Byung-Il;Kim, Young-Boong
    • Journal of Electrical Engineering and Technology
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    • v.6 no.5
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    • pp.618-625
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    • 2011
  • This paper presents a double excited three degree-of-freedom (3DOF) motor. The proposed 3DOF motor is designed with a laminated structure, making it easy to manufacture. In addition, it has windings on the stator and rotor, and does not require an expensive permanent magnet. We explain the structure, principle of motion, and design of the proposed motor, and perform an analysis of the static characteristics using the two- and three-dimensional finite element methods (3D FEM). The feasibility of 3D FEM analysis is confirmed by comparing the 3D FEM analysis and experimental results for the rolling and pitching motion. We also confirm the occurrence of holding torque in every motion.

A Study on Robustness of a Servosystem with Nonlinear Type Uncertainty (I) - A Synthesis of 2DOF Servosystem (비선형 불확실성에 대한 서보계의 강인성에 관한 고찰(I) - 직달항을 고려한 2자유도 서보계의 구성)

  • Kim, Young-Bok
    • Journal of Ocean Engineering and Technology
    • /
    • v.13 no.3B
    • /
    • pp.91-98
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    • 1999
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, if the mathematical model of the plant is exact and no disturbance input exists, the integral compensation is not necessary. From this point of view, a two-degree-of-freedom(2DOF) servosystem has been proposed, in which the integral compensation is effective only when there is a modeling error or a disturbance input. The present paper considers a synthesis problems of this 32DOF servosystem with direct transfer term in the system representation. And, a method how we may obtain a gain such that desirable transient response is achieved, is proposed in the presence of the modelling error and disturbance input.

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Speed Control for an Induction Motor Using a 2 Degree-of-Freedom Controller (2자유도 제어기를 이용한 유도전동기 속도제어)

  • Hwang, Dae-Kyu;Oh, Tae-Seok;Kim, Il-Hwan
    • Journal of Industrial Technology
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    • v.22 no.B
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    • pp.185-190
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    • 2002
  • This paper describes a design of an induction motor control system using a 2 degree-of-freedom PI controller to compensate the effects of disturbance without degrading tracking performance. On the basis of vector control principle, the control system is simulated by using the ACSL and implemented on a DSP system(TMS320C31). In designing the 2 DOF controller, we can tune the performance of either the tracking or disturbance rejection independently without affecting the other. With the experimental results, the 2 DOF controller has shown a better performance in command tracking and disturbance rejection than a conventional PI controller.

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Directionally Transparent Energy Bounding Approach for Multiple Degree-of-Freedom Haptic Interaction

  • Kim, Jae-Ha;Kim, Jong-Phil;Seo, Chang-Hoon;Ryu, Je-Ha
    • 한국HCI학회:학술대회논문집
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    • 2009.02a
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    • pp.2068-2071
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    • 2009
  • This paper presents a multiple degree-of-freedom (dof) energy bounding approach (EBA) to enhance directional transparency while guaranteeing stability for multiple-dof haptic interaction. It was observed that the passivity condition for multiple ports may lead to some oscillatory limit cycle behaviors in some coordinate directions even though the total sum of energy flow-in is positive, meaning that the system is passive. The passivity condition, therefore, needs to be applied to each coordinate in order to avoid oscillatory behavior by keeping each energy flow-in always positive. For guaranteeing passivity, which in turn, stability in each coordinates, the EBA is applied. For multiple-dof haptic interaction, however, the EBA in each coordinate may distort the direction of the force vector to be rendered since the EBA may cut down the magnitude of the force and torque vectors to be rendered in order to ensure the passivity. For avoiding this problem, a simple projection method is presented. The validity of the proposed algorithm is shown by several experiments.

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