• Title/Summary/Keyword: singularity avoidance

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Development of A New Efficient Method for Controlling Robot Motion at and near Singularities (특이점 부근의 로봇운동을 효과적으로 제어하기 위한 새로운 방법 개발)

  • 정원지;최은재;홍대선;서영교;홍형표
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.11 no.6
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    • pp.31-37
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    • 2002
  • This paper presents a new motion control strategy for singularity avoidance in 6 DOF articulated robot manipulators, based on a speed limiting algorithm for joint positions and velocities. For a given task, the robot is controlled so that the joints move with acceptable velocities and positions within the reachable range of each joint by considering the velocity limit. This paper aims at the development of a new efficient method to control robot motion near and at singularities. The proposed method has focused on generating the optimal joint trajectory for a Cartesian end-effector path within the speed limit of each joint by using the speed limit avoidance as well as the acceleration/deceleration scheme. The proposed method was verified using MATLAB-based simulations.

Suitability of Singularity Indices for Steering Law Design of Control Moment Gyros (제어모멘트자이로의 구동법칙 설계를 위한 특이성 지수의 적합성)

  • Jin, Jaehyun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.42 no.12
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    • pp.1020-1027
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    • 2014
  • Singularity indices for steering law design of CMGs have been analyzed. Several qualitative criteria to evaluate the suitability of indices have been suggested. Fast calculation and consistency with the condition number of the input matrix are the most important ones. Based on these criteria, modified indices have been proposed. Properties of infinite value and finite value indices have been compared and an ad hoc method to combine those properties has been presented. Computer simulation results are given to verify the proposed method.

Characterization of Singularity Avoidance Measures for a Redundant Robot (여유자유도 로봇을 위한 특이점 회피 성능지수들의 특성화)

  • 최병욱;원종화;정명진
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.7
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    • pp.42-51
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    • 1992
  • This paper suggests a measure constraint locus which is the loci of points satisfying the necessary constraint for optimality of a measure in the configuration space. The characterization of four measures for singularity avoidance is worked out by using the measure constraint locus. It gives a global look at the performance of an inverse kinematic algorithm whien each of measures in a kinematically redundant robot is used. The invertible workspace without singularities and the topological properties both on the configuration and operational spaces are analyzed. We discuss also some limitations, based on the topological arguments of measure constraint locus, of the inverse kinematic algorithms, and compare global properties of each of measure. Therfore, a new concept called measure constraint locus gives a methodology for obtaining a conservative joint trajectory without singularities for almost entire workspace.

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A Method of Singularity Avoidance for A Robot-Positioner System (로보트와 포지셔너의 특이성 회피 방법)

  • Choi, Shin-Hyeong;Suh, Il-Hong;Lim, Joon-Hong;Kim, Kyung-Ki
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.6
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    • pp.7-14
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    • 1989
  • A trajectory control method being capable of singularity avoidance is proposed for a robot and positoner (R-P) system. In the proposed method, the damping factor of the Damped Least Square (DLS) method is adjusted by gradients of trajectory following errors so that the singularity avoidance can be achieved while mimimizing the errors. Two numerical examples are given by employing a Rhino robot with five degrees-of-freedom (d.o.f.) and two d.o.f's, where the method of maximizing the manipulagility the DLS method with a fixd damping factor and the proposed method are compared in terms of trajectory following errors, manipulabilities and joint velocities.

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Task-based adaptive control of redundant manipulators (여유 자유도 매니퓰레이터의 작업공간 적응제어)

  • Nam, Heon-Seong;Lyou, Joon
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.895-901
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    • 1993
  • This paper present controller designs based on the configuration control framework for a redundant manipulator to accomplish the basic task of desired, end-effector motion, while utilizing the redundancy to achieve the additional tasks such as joint motion control, obstacle avoidance, singularity avoidance. etc. A task based decentralized adaptive scheme is then applied for the configuration variables to track some reference trajectories as close as possible. Simulation results for a direct-drive three-link arm in the vertical plane demonstrate its capabilities for performing various useful tasks.

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Review on dexterity measures for kinematically redundant manipulators (여유 자유도를 갖는 매니퓨레이터의 능숙성 지수에 대한 Review)

  • 정원지;최혁렬;정완균;염영일
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.62-67
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    • 1990
  • A number of performance measures have been proposed for the quantification of dexterity for kinematically redundant manipulators. The use of such measures is especially important for kinematically redundant manipulators since they can satisfy the subtasks such as singularity avoidance and obstacle avoidance in addition to satisfying a specification of end-effector motion. In this paper, the advantages and disadvantages of performance measures proposed up to date are compared through simulations under the same environment. Besides, a new dexterity index for manipulators with multiple degrees of redundancy is proposed and shown to be effective through the simulation.

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Agile Attitude Control of Small Satellite using 5Nm Small CMG (5Nm급 소형 CMG를 이용한 소형위성 고기동 자세제어)

  • Rhee, Seung-Wu;Seo, Hyun-Ho;Yoon, Hyung-Joo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.46 no.11
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    • pp.952-960
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    • 2018
  • Recently, lots of remote sensing satellite require agility to collect more images within the limited time frame. To satisfy this kind of mission requirement, high torque actuator such as CMG is an essential element. In this study, 5Nm class small CMG developed by KARI is introduced to implement for an agile small satellite design. One of the singularity escape CMG steering law, Designated Direction Escape (DDE) method, which is a sort of modified version of Singular Direction Avoidance (SDA) method is summarized for its application on the numerical simulation of agile attitude control system design result. The performance of DDE method is demonstrated properly by escaping well known elliptic internal singularity successfully. 5Nm class small CMG cluster in a pyramid type as well as a roof type configuration is utilized to perform the numerical simulation and to demonstrate its agility design result for a small satellite. Simulation result shows the properness of 5Nm small CMG to a small agile satellite system. Also, the simulation result provides some valuable information that is important to CMG hardware design and manufacturing.

Design Criteria and Cluster Configuration Improvement of Single Gimbal Control Moment Gyros for Satellite (인공위성을 위한 제어모멘트자이로의 설계시 고려요소 및 배치형상 개선방안)

  • Seo, Hyun-Ho;Rhee, Seung-Wu;Lee, Seon-Ho;Oh, Shi-Hwan;Yim, Jo-Ryeong;Yong, Ki-Lyuk
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.1
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    • pp.48-56
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    • 2008
  • Nowadays, CMG(Control Moment Gyros) becomes one of the essential actuators for satellite attitude control. The method to define the key requirements of CMG is suggested to avoid CMG's singularity problem for the limited envelope of angular momentum of 2H. Furthermore, the analysis and simulation are carried out to provide a necessary guideline when three CMGs are used for spacecraft control purpose. An improved configuration of redundant four CMG cluster, slightly different from the conventional configuration, is proposed not only to avoid the CMG singularity problem, but to improve agility about roll or pitch-axis.

Geometric Singularity Avoidance of a 3-SPS/S Parallel Mechanism with Redundancy using Conformal Geometric Algebra (여유자유도를 가진 3-SPS/S 병렬 메커니즘의 등각 기하대수를 이용한 기하학적 특이점 회피)

  • Kim, Je Seok;Jeong, Jin Han;Park, Jahng Hyon
    • Journal of the Korean Society for Precision Engineering
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    • v.32 no.3
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    • pp.253-261
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    • 2015
  • A parallel mechanism with redundancy can be regarded as a means for not only maximizing the benefits of parallel mechanisms but also overcoming their drawbacks. We proposed a novel parallel mechanism by eliminating an unnecessary degree of freedom of the configuration space. Because of redundancy, however, the solution for the inverse kinematics of the developed parallel mechanism is infinite. Therefore, we defined a cost function that can minimize the movement time to the target orientation and found the solution for the inverse kinematics by using a numerical method. In addition, we proposed a method for determining the boundary of the geometric singularity in order to avoid singularities.