1997
DOI: 10.1017/s0263574797000672
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Clarifying the definition of redundancy as used in robotics

Abstract: Several descriptions of redundancy are presented in the literature, often from widely different perspectives. Therefore, a discussion of these various definitions and the salient points would be appropriate. In particular, any definition and redundancy needs to cover the following issues; the difference between multiple solutions and an infinite number of solutions; degenerate solutions to inverse kinematics; task redundancy; and the distinction between non-redundant, redundant and highly redundant mani… Show more

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Cited by 95 publications
(59 citation statements)
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“…This is performed by considering the barrier functions approach [18]. Thus, the original OCP (9) can be rewritten as an OCP without inequality constraints (10), where the constraints are included in an augmented objective function a I . …”
Section: Optimization Problem Statementmentioning
confidence: 99%
See 1 more Smart Citation
“…This is performed by considering the barrier functions approach [18]. Thus, the original OCP (9) can be rewritten as an OCP without inequality constraints (10), where the constraints are included in an augmented objective function a I . …”
Section: Optimization Problem Statementmentioning
confidence: 99%
“…On the other hand, it is well known that kinematic redundancy of a robot, i.e. the presence of additional degrees of freedom (DOF) to perform a task [10], allows rendering autonomy by performing additional goals, as energy consumption optimization or obstacle avoidance, see [11], [12], [13] and [14].…”
Section: Introductionmentioning
confidence: 99%
“…This ensures max{ J + n (q) } is always known a priori allowing for all kinematic singularities to be avoided. 1 The properties of the pseudo-inverse used in the development of our controller are provided in Appendix I.…”
Section: A Kinematic Controller Designmentioning
confidence: 99%
“…While there are multiple definitions available to explain redundancy in robots [1], the most widely used form in the literature is kinematic redundancy, where the number of joints of a robot manipulator is greater than the degrees of freedom in its task-space. This property of redundant robot manipulators is essential for various applications, especially those requiring the manipulator to perform complex tasks.…”
Section: Introductionmentioning
confidence: 99%
“…A new generation of adept manipulators has recently become more widely used, combining two technological advancements: advanced force-torque sensing integrated into compact actuation units (Albu-Schäffer, Haddadin, et al, 2007) with variable stiffness (Tsagarakis, Sardellitti, & Caldwell, 2011) leading to fully compliant robot manipulators Grzesiak, Becker, & Verl, 2011) and the tendency to increase the degrees of freedom towards kinematically redundant (Conkur & Buckingham, 1997) manipulators. While these robots provide a great degree of flexibility for the realization of complex applications -for example, in industrial (Daimler AG, 2009) or service robotics (Akgun, Cakmak, Yoo, & Thomaz, 2012;Breazeal et al, 2008) scenarios -the gained flexibility generates the need for additional modeling steps and the definition of criteria for redundancy resolution.…”
Section: Introductionmentioning
confidence: 99%