2019
DOI: 10.1007/s12555-018-0236-1
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Shadow Space Modeling and Task Planning for Collision-free Cooperation of Dual Manipulators for Planar Task

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Cited by 11 publications
(7 citation statements)
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“…The nonlinear term   1 fx has a Lipchitz of 1 fk fx. It is noteworthy from (16) that the matrix of the state estimation error of the end-effector position,   1 fx , depending on the estimation error of the joint angle, should be obtained from forward kinematic calculation. However, because it is the function of joint angle error and is bounded by 1 fk fx, the estimation error of the forward kinematic is linearized around the equilibrium of zero and thus, in this scope, it is simplified by using a constant matrix gain…”
Section: Assumptionmentioning
confidence: 99%
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“…The nonlinear term   1 fx has a Lipchitz of 1 fk fx. It is noteworthy from (16) that the matrix of the state estimation error of the end-effector position,   1 fx , depending on the estimation error of the joint angle, should be obtained from forward kinematic calculation. However, because it is the function of joint angle error and is bounded by 1 fk fx, the estimation error of the forward kinematic is linearized around the equilibrium of zero and thus, in this scope, it is simplified by using a constant matrix gain…”
Section: Assumptionmentioning
confidence: 99%
“…As the rapid development in the field of automation, system analysis and control strategy design have become topics of interest in control research area in recent years. Several methodologies were proposed to exhibit the tracking performance for multi-input-multi-output nonlinear systems [1]- [4] such as advanced control algorithms [5]- [7], fractional-order control [8]- [10], intelligent techniques [11]- [15], or even optimization [16], [17] for robotic manipulators.…”
Section: Introductionmentioning
confidence: 99%
“…In a similar approach to [16], Safeea et al [17] achieve collaborative task execution by means of generating a collection of offline computed nominal paths tailored to the industrial task at hand and generating on-the-fly modifications by means of artificial potential fields for collision avoidance. Similarly, Yoon et al [18] use the concept of manipulator shadow space calculations along with modified genetic algorithms for generation of an optimal collision-free sequence for executing planar tasks, where the manipulators are assumed to only travel linearly from one point to another and both manipulators start moving at the same time.…”
Section: Introductionmentioning
confidence: 99%
“…Different from human self-adaptivity activities, movements of the manipulator are mostly setup based on predetermined typically repeated tasks like loading, positioning. Various studies of algorithm developments have been reported to enhance system behaviors such as advanced adaptive control [5][6][7], optimal control [8], intelligent techniques [9][10][11][12], time-delayed estimation [13][14][15], observers [16][17][18], or even optimizations [19][20][21]. However, those studies intensively focused on the improvement of tracking performance and evaluation of system behaviors in free-motion.…”
Section: Introductionmentioning
confidence: 99%