• Title/Summary/Keyword: Two-Degrees-of-Freedom

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Trajectory control of direct drive robot using two-degrees-of-freedom compensator

  • Shin, Jeong-Ho;Fujiune, Kenji;Suzuki, Tatsuya;Okuma, Shigeru;Yamada, Koji
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.422-427
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    • 1994
  • In this paper, we propose a new design approach of a two-degrees-of-freedom compensator which assures the robust stability. First of all, we clarify the internal structure of the generalized two-degrees-of-freedom compensator. By adopting this structure, we can make a bridge between the generalized controller and the disturbance observer based controller, Secondly, based on the clarified structure we derive a robust stability condition, and propose a design algorithm of free parameter taking the condition into account. The proposed design algorithm is easy to implement and, as a result, we obtain lower order free parameter then that of the conventional design algorithm.. Thirdly, we show by adopting an appropriate coprime factorization that the clarified structure can also be regarded as an extended version of the conventional PID compensator. Finally, we apply the proposed algorithm to a three-degrees-of freedom direct drive robot, and show some experimental results to verify the effectiveness of the proposed algorithm.

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SOME RESULTS RELATED TO DISTRIBUTION FUNCTIONS OF CHI-SQUARE TYPE RANDOM VARIABLES WITH RANDOM DEGREES OF FREEDOM

  • Hung, Tran Loc;Thanh, Tran Thien;Vu, Bui Quang
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.509-522
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    • 2008
  • The main aim of this paper is to present some results related to asymptotic behavior of distribution functions of random variables of chi-square type $X^2_N={\Sigma}^N_{i=1}\;X^2_i$ with degrees of freedom N, where N is a positive integer-valued random variable independent on all standard normally distributed random variables $X_i$. Two ways for computing the distribution functions of chi-square type random variables with random degrees of freedom are considered. Moreover, some tables concerning considered distribution functions are demonstrated in Appendix.

Nonlinear Dynamic Simulation using SIMULINK (SIMULINK를 이용한 비선형 동적 해석)

  • Kim Seong Keol
    • Transactions of the Korean Society of Automotive Engineers
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    • v.13 no.4
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    • pp.105-112
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    • 2005
  • Analyses of dynamic models which were one and two degrees of freedom, and had the nonlinear springs and dampings with certain polynomial functions were performed from SIMULINK in MATLAB. Those consisted of 12 programs and were built on the basis of the preceding programs fur the linear dynamic simulations. However the programs for the nonlinear simulations were quite different from those f3r the linear ones, and showed the results of the analyses in real time with animating. It was found that the programs would help us to solve any kind of nonlinear dynamic simulation with one and two degrees of freedom. Especially, the simulations for 1 DOF system with cubic nonlinear spring farce showed the results for Duffing's equation, of which phenomena were jump-up and jump-down. It will be applied to the dynamic simulation of the car seat vibration with a passenger, of which model has the equivalent nonlinear springs and is two degrees of freedom.

Microcontroller based split mass resonant sensor for absolute and differential sensing

  • Uma, G.;Umapathy, M.;Kumar, K. Suneel;Suresh, K.;Josephine, A. Maria
    • Smart Structures and Systems
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    • v.5 no.3
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    • pp.279-290
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    • 2009
  • Two degrees of freedom resonant systems are employed to improve the resonant property of resonant sensor, as compared to a single degree of freedom resonant system. This paper presents design, development and testing of two degrees of freedom resonant sensor. To measure absolute mass, cantilever shaped two different masses (smaller/absorber mass and bigger/drive mass) with identical resonant frequency are mechanically linked to form 2 - Degree-of-Freedom (DOF) resonator which exhibits higher amplitude of displacement at the smaller mass. The same concept is extended for measuring differential quantity, by having two bigger mass and one smaller mass. The main features of this work are the 3 - DOF resonator for differential detection and the microcontroller based closed loop electronics for resonant sensor with piezoelectric sensing and excitation. The advantage of using microcontroller is that the method can be easily extended for any range of measurand.

Development of a flat shell element by using the hybrid Trefftz plane element with drilling D.O.F. and the DKMQ element (면내 회전 자유도가 추가된 hybrid Trefftz 평면 요소와 DKMQ 요소를 이용한 4 절점 평면 셸 요소의 개발)

  • 최누리;추연석;이승규;이병채
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.855-859
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    • 2004
  • We develop a new four-node flat shell element which is accurate, efficient, and suitable to be used on general purpose. The new element has a hybrid Trefftz element with drilling degrees of freedom as a membrane part. We define the two independent displacement field: the internal displacement field that satisfies governing equations in the domain a priori and the boundary displacement field that is usually used as a conventional finite element method. The hybrid Trefftz variational formulation connects these two displacement fields on the boundary of the domain. To add drilling degrees of freedom, we introduce the Allman's quadratic displacement field to the boundary displacement field. As a result, our flat shell element has 6 degrees of freedom per a node. We also use the well-known DKMQ plate bending element for the plate part of the proposed element. The DKMQ element satisfies Mindlin-Reissner‘s plate theory along the edge of the element and gives proper behavior regardless of the thickness. A series of numerical experiments shows that the performance of the new element such as accuracy, rate of convergence, robustness to mesh quality, and so on.

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Implementation of 3D Motion Simulator with Two Degrees of Freedom (2자유도를 갖는 3차원 운동 시뮬레이터 연구)

  • Choi, Myoung-Hwan;Kim, Young-Jin
    • Journal of Industrial Technology
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    • v.21 no.A
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    • pp.81-88
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    • 2001
  • In this work, we have developed a 2 degrees of freedom(DOF) motion simulator that can generate the sensation of motion in a 6 DOF space. The motion base has the DOF of roll and pitch, and the purpose of the motion base is to create the sensation of riding a vehicle in a 3D space by controlling the motion base. The dynamics of the mechanism was analysed and the optimal design of the motion base mechanism has been reached. The prototype motion base mechanism was developed and tested. The multi-axis motion controller(MMC) was used to control the two AC servo meters that drive the roll and pitch motion.

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Two-Level Scheme for Selection of Degrees of freedom by Energy Estimation Combined with Sequential Elimination (주자유도 선정을 위한 2단계 축소기법의 제안과 축소시스템 구성에 관한 연구)

  • 김현기;조맹효
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.87-94
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    • 2004
  • A number of approximate techniques have been developed to calculate the eigenvalues in a reduced manner. These schemes approximate the lower eigenvalues that represent the global behavior of the structures. In general, sequential elimination has been widely used with reliability. But it takes excessively large amount of time to construct a reduced system. The present study proposes two-level condensation scheme(TLCS). In the first step, the candidate elements are selected by element-level energy estimation. In the second step, master degrees of freedom are selected by sequential elimination from the candidate degrees of freedom linked to the selected elements in the first step. Numerical examples demonstrate that the proposed method saves computational cost effectively and provides a reduced system which predicts the accurate eigenvalues of global system.

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Design of controller in control system with two degrees of freedom by the normal method (정규화법에 의한 2자유도 제어계에서 제어기의 설계)

  • Ha, Hong-Gon
    • Journal of the Institute of Convergence Signal Processing
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    • v.12 no.1
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    • pp.56-61
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    • 2011
  • Many control techniques have been proposed in order to improve the control performance of the control system. The degree of freedom on control in the control system is decided by the number of the closed-loop transfer function which can adjust independently. The controller design scheme with two degrees of freedom(TDOF) is extensively used for securing the good control performance to trace a desired value and reject disturbance. In this paper, PID controller is used by controller with TDOF and the design method for control system with TDOF is proposed by the normal method. Using the coefficients of the transfer function of the plant, the transfer function of the control system is normalized by the proposed design method and the parameters of the controller are determined. The control system with the TDOF is constructed by using this method. Through the simulation results, the usefulness of the proposed algorithm is proved.

Design of control system with two degrees of freedom based on the disturbance observer (외란관측기 기반한 2 자유도 제어계의 설계)

  • Ha, Hong-Gon
    • Journal of the Institute of Convergence Signal Processing
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    • v.11 no.1
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    • pp.74-79
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    • 2010
  • Many control techniques have been purposed in order to improve the control performances of the control system. The freedom on control in the control system is decided by the number of the closed-loop transfer function which can adjust independently. The design method of the controller with two degrees of freedom(TDOF) is used extensively for following the desired value and rejecting the disturbance. In this paper, the control system with the disturbance observer(DOB) for rejecting the disturbance is transformed by the control system with TDOF and the rejection of a transient response is easy at the starting time and load variation. The design method of the DOB is proposed in the frequency-domain and the control system with TDOF is constructed by using the DOB which is designed with this method. Through the simulation results, the usefulness of the proposed algorithm is proved.

Degrees of Freedom of Two-Cluster MIMO Multiway Relay Interference Channels Using Blind Interference Neutralization

  • Zhang, Bowei;Feng, Wenjiang;Dong, Tingting;Deng, Yina
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.1
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    • pp.168-186
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    • 2016
  • In this paper, we investigate the degrees of freedom (DoF) of a two-cluster multiple-input multiple-output (MIMO) multiway relay interference channel (mRIC), where there are two relays and two users per cluster. In this channel, users within the same cluster exchange messages among themselves with the help of two relays.We first obtain the DoF upper bound of the considered MIMO mRIC based on cut-set bound. Then, we propose a novel transmission strategy, blind interference neutralization (BIN), to approach the DoF upper bound. This new method utilizes the overheard information at two relays and focuses on the beamforming matrix designs at two relays so that the channel state information (CSI) at users is not required. Through theoretical analysis and numerical simulations, we show that the DoF upper bound can be obtained by using the BIN scheme. From simulation results, we show that the proposed BIN scheme can provide significant performance gain over the conventional time division multiple access (TDMA) scheme in terms of DoF. In addition, we show that the BIN scheme is a superior approach to the existing signal space alignment (SSA) schemes for the considered mRIC.