2003
DOI: 10.1115/1.1566397
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Modeling, Identification and Control of Robots

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Cited by 383 publications
(576 citation statements)
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“…arm lengths, encoder offsets). In literature DGM (q m ) is often called the Direct Geometric Model [11] or forward kinematics function [12], [13]. Khalil and Dombre have derived symbolic expressions for equation 3 for the specific case of a 6-axes Stäubli robot.…”
Section: Coordinate Frames and Transformationsmentioning
confidence: 99%
“…arm lengths, encoder offsets). In literature DGM (q m ) is often called the Direct Geometric Model [11] or forward kinematics function [12], [13]. Khalil and Dombre have derived symbolic expressions for equation 3 for the specific case of a 6-axes Stäubli robot.…”
Section: Coordinate Frames and Transformationsmentioning
confidence: 99%
“…are needed, see (26) and (33), and no second-order derivatives (Hessian matrices, derivative of Jacobians, etc.) are required, see (25) and (34).…”
Section: Advantages and Disadvantages Of The Proposed Approachmentioning
confidence: 99%
“…Remark: Note that the acceleration equality (39) is equivalent to the classical operational space robot control [33]. Moreover, the commanded accelerationv c in (39) for the coordination vector (i.e.,v c =v ref +K 2,p e+K 2,vė ) represents a classical kinematic controller utilized for robotic trajectory tracking [34] (i.e., a correction based on the position and velocity errors plus a feedforward of the second-order time derivative of the reference) and introduces the poles given by the roots of the polynomial with coefficients…”
Section: Smooth Acceleration Optionsmentioning
confidence: 99%
“…For the simulations of this section, it is used a classical kinematic controller utilized for robotic trajectory tracking [27], see controller is simply implemented as a proportional controller with correction gain K p . Therefore, the desired workspace velocity vectorṗ d generated by the kinematic controller results in:…”
Section: Kinematic Controllermentioning
confidence: 99%