• Title/Summary/Keyword: Null-Space Dynamics

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Design of new sliding mode control system using discrete-time switching dynamics and its stability analysis (이산 시간 스위칭 다이나믹을 이용한 새로운 슬라이딩 모드 제어 시스템의 설계 및 안정도 해석)

  • 김동식;서호준;서삼준;박귀태
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.45 no.3
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    • pp.407-414
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    • 1996
  • In this paper we consider the variable structure control for a class of discrete-time uncertain multivariable systems where the nominal system is linear. Discrete-time switching dynamics are introduced so that a new type of state trajectories called sliding mode may exist on the sliding surface by state feedback. The quantitative analysis for the matched uncertainties will show that every response of the system with the proposed switching dynamics is bounded within small neighborhoods of the state-space origin. Also, by the similarity transformation it will be shown that the eigenvalues of the closed-loop systems are composed of those of the subsystems which govern the range-space dynamics and null-space dynamics. It will be also shown that ideal sliding mode can be obtained in the absence of uncertainties due to one-step attraction to the sliding surface regardless of initial position of states. (author). 12 refs., 2 figs.

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Extended Operational Space Formulation for the Kinematics, Dynamics, and Control of the Robot Manipulators with Redundancy (여유자유도 로봇의 기구학, 동역학 및 제어를 위한 확장실공간 해석)

  • 장평훈;박기철;김승호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.12
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    • pp.3253-3269
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    • 1994
  • In this paper a new concept, named the Extended Operational Space Formulation, has been proposed for the effective analysis and real-time control of the robot manipulators with kinematic redundancy. The extended operational space consists of operational space and optimal null space. The operational space is used to describe robot end-effector motion; whereas the optimal null space, defined as the target space of the self motion manifold, is used to express the self motion for the secondary tasks. Based upon the proposed formulation, the kinematics, statics, and dynamics of redundant robots have been analyzed, and an efficient control algorithm has been proposed. Using this algorithm, one can optimize a performance measure while tracking a desired end-effector trajectory with a better computational efficiency than the conventional methods. The effective ness of the proposed method has been demonstrated with simulations.

Robust independent control for position motion-inducing force, and internal force of multi-robot (다중 로보트의 위치, 운동야기힘과 내부힘의 강건 독립 제어)

  • 김종수;박세승;박종국
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.11
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    • pp.11-21
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    • 1996
  • Robot manipulators constituing multi-robot system must exert the desired motion force on an object to preserve tghe fine motion of it. The forces exerte on an object by the end-effectors of multi-inducing force and the internal force. Here, motion-inducing force effects the motion of an object, but internal force as lies in the null space of an object coordinate can't effect it. The motion of an object can't track exactly the desired motion by the effect of an object, but internal force as lies in the null space of the effect of internal force component, therefore internal force component must be considered. In this paper, first, under assumption that we can estimate exactly the parameter of dynamics, we constitute paper, first, under assumption that we can estimate exactly the parameter of dynamics, we constitute the controller concerning internal force. And we obtain the internal force as projecting force sensor readings onto the space spanned by null basis set of jacobian matrix. Using the resolved acceleration control method and the fact that internal force lies in the null space of jacobian matrix, we construct the robust control law to preserve the robustness with respect to the uncertainty of mainpulator parameters.

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Internal force-based coordinated motion control of dual redundant manipulator

  • Kim, Hyunsoo;Chung, Wan-Kyun;Youm, Youngil
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.237-240
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    • 1996
  • Internal Force based control of dual redundant manipulator is proposed. One is resolved acceleration type control in the decoupled joint space which includes null motion space and the other is in the impedance control fashion in which the desired impedances are decoupled in three subspace, internal motion controlled space, orthogonal to that space, and the null motion controlled space. The internal force is formulated with its basis set meaningful. The object dynamics is also briefly evolved beforehand.

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Impact control of redundant manipulators using null-space dynamucs

  • Chung, W.J.;Choi, S.L.;kim, I.H.;Chung, G.J.
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.89-94
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    • 1994
  • This paper presents an impact control algorithm for reducing the potentially damaging effects by interation of redundant manipulators with their environments. In the. proposed control algorithm, the redundancy is resolved at the torque level by locally minimizing joint torque, subject to tire operational space dynamic formulation which maps tire joint torque set into the operational forces. For a given pre-impact velocity of the manipulator, the proposed approach is on generating joint space trajectories throughout the motion near the contact which instantaneously minimize the impulsive force which is a scalar function of manipulator's configurations. This is done by using the null space dynamics which does not affect the motion of an end-effector. The comparative evaluation of the proposed algorithm with a local torque optimization algorithm without reducing impact is performed by computer simulation. The simulation results illustrate the effectiveness of the algorithm in reducing both the effects of impact and large torque requirements.

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Design of a new sliding mode controller for uncertain multivariable systems using continuous-time switching dynamics (연속 시간 스위칭 다이나믹을 이용한 불확실한 다변수 계통에 대한 새로운 슬라이딩 모드 제어기 설계)

  • Kim, Dong-Sik;Seo, Ho-Joon;Seo, Sam-Jun;Park, Gwi-Tae
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.1
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    • pp.9-13
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    • 1996
  • 슬라이딩 모드 제어기의 실현시 발생하는 고주파 chattering 현상을 제거하기 위하여 본 논문에서는 스위칭 표면 행렬의 Range-space 동특성을 이용한 연속 시간 스위칭 다이나믹을 제안한다. 전체 폐루프 시스템은 정칙 변환에 의해 빠른 부시스템과 느린 부시스템으로 분해되어, 결국 전체 폐루프 시스템의 고유치는 각각 스위칭 표면 행렬의 Range-space와 Null-space의 동특성을 지배하는 부시스템들의 고유치들로 구성됨을 보인다. 그리고, 정합된 불확실성이 존재하는 경우 제안된 스위칭 다이나믹을 가진 제어 시스템의 응답은 일정 시간이 경과된 후 스위칭 평면의 임의의 영역으로 균일하게 유계된다는 것을 증명한다. 또한, 제어 입력의 크기에 대한 제약성을 만족하면서도 전체 제어 시스템의 정상 상태 오차를 감소시키기 위하여 두개의 스위칭 다이나믹을 도입한 수정된 슬라이딩 모드제어기를 제안한다.

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Control of Redundant Manipulators Using Null-Space Dynamics (여유자유도 로보트 충격제어)

  • Kim, Il-Hwan
    • Journal of Industrial Technology
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    • v.15
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    • pp.63-70
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    • 1995
  • This paper presents an impact control algorithm for reducing the potentially damaging effects by interation of redundant manipulators with their environments. In the proposed control algorithm, the redundancy is resolved at the torque level by locally minimizing joint torque, subject to the operational space dynamic formulation which maps the joint torque set into the operational forces. For a given pre-impact velocity of the manipulator, the proposed approach is on generating joint space trajectories throughout the motion near the contact which instantaneously minimize the impulsive force which is a scalar function of manipulator's configurations. The comparative evaluation of the proposed algorithm with a local torque optimization algorithm with a local torque optimization algorithm without reducing impact is performed by computer simulation. The simulation results illustrate the effectiveness of the algorithm in reducing both the effects of impact and large torque requirements.

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Robust Impedance Control of Kinematically Redundant Manipulator Based on Disturbance Observer (외란 관측기에 의한 기구학적 여유자유도 매니퓰레이터의 강인한 임피던스 제어)

  • 오용환;오상록;정완균
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.11
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    • pp.963-969
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    • 2002
  • Design method of a robust impedance control is proposed for the kinematically redundant manipulators. To achieve this objective, we first use the momentum feedback disturbance observer(MFDOB) scheme which can handle the nonlinear dynamics of a manipulator in Joint space. An extended task space formulation to describe the behaviors of task and null spaces of redundant manipulator is employed. Using the extended task space formulation and disturbance observer scheme, a robust impedance control method is designed. The performance of the proposed extended impedance controller is verified through experiments with a planar three links direct-drive manipulator.

Partitioning method using kinematic uncoupling in train dynamics (열차 동역학에서 기구학적 비연성을 이용한 분할 해석 방법)

  • Park, J.H.;Yoo, H.H.;Hwang, Y.H.;Kim, C.H.
    • Journal of the Korean Society for Railway
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    • v.2 no.1
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    • pp.47-55
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    • 1999
  • In this paper, an efficient and accurate formulation for the transient analysis of constrained multibody systems is presented. The formulation employs Kane's method along with the null space method. Kane's method reduces the dimension of equations of motion by using partial velocity matrix: it can improve the efficiency of the formulation. Furthermore, the formulation partitions the coefficient matrix of linear and nonlinear equations into several sub-matrices using kinematic uncoupling. This can solve the equations more efficiently. The proposed formulation can be used to perform dynamic analysis of systems which can be partitioned into several sub-systems such as train systems. One numerical example is given to demonstrate the efficiency and accuracy of the formulation, and another numerical example is given to show its application to the train systems.

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The Influence of the Interplanetary Magnetic Field (IMF)-Dependent Ionospheric Convection on the Thermospheric Dynamics

  • Kwak, Y.S.;Ahn, B.H.;Richmond, A.D.
    • Bulletin of the Korean Space Science Society
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    • 2003.10a
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    • pp.34-34
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    • 2003
  • To better understand how high-latitude electric fields influence thermospheric dynamics, we study winds in the high-latitude lower thermosphere using the Thermosphere-Ionosphere-Electrodynamics General Circulation Model of the National Center for Atmospheric Research (NCAR/TIEGCM). In order to compare with Wind Imaging Interferometer (WINDII) observations the model is run for the conditions of 1992-1993 southern summer. The association of the model results with the interplanetary magnetic field (IMF) is also examined to determine the influences of the IMF-dependent ionospheric convection on the winds. The wind patterns show good agreement with the WINDII observations, although the model wind speeds are generally weaker than the observations. It is confirmed that the influences of high-latitude ionospheric convection on summertime thermospheric winds are seen down to 105 km. For negative and positive IMF By the difference winds, with respect to the wind during null IMF conditions, show significantly strong anticyclonic and cyclonic vortices, respectively, down to 105 km. For positive IMF Bz the difference winds are largely confined to the polar cap, while for negative IMF Bz they extend to subauroral latitudes. The IMF Bz-dependent diurnal wind component is strongly correlated with the corresponding component of ionospheric convection velocity down to 108 km and is largely rotational. The influence of IMF By on the lower thermospheric summertime zonal-mean zonal wind is substantial at high latitudes, with maximum wind speeds being 60 m/s at 130 km around 77 magnetic latitude.

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