Geometric optimization of serial chain manipulator structures for working volume
International Journal of Robotics Research
Algorithm 681: INTBIS, a portable interval Newton/bisection package
ACM Transactions on Mathematical Software (TOMS)
Revising hull and box consistency
Proceedings of the 1999 international conference on Logic programming
Corrigenda: “Some Tests of Generalized Bisection”
ACM Transactions on Mathematical Software (TOMS)
Design and dock analysis for the interactive module of a lattice-based self-reconfigurable robot
Robotics and Autonomous Systems
Analytical determination of the workspace of symmetrical spherical parallel mechanisms
IEEE Transactions on Robotics
Topology design of surgical reconfigurable robots by interval analysis
ICRA'09 Proceedings of the 2009 IEEE international conference on Robotics and Automation
Planning and fast re-planning of safe motions for humanoid robots: application to a kicking motion
IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
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This paper presents the design strategy of serial manipulators with constraint satisfaction. The algorithm provides certified solutions to the range of values of the manipulator design parameters that satisfy the given constraints for all points inside a desired workspace. Alternatively, it can also be used to obtain the achievable workspace of a particular manipulator topology within which a set of given constraints are satisfied. This strategy can therefore be applied to the general case of a serial manipulator design problem. robots of adjustable parameters, or even reconfigurable robot strategy to obtain a suitable topology. The intervalbased algorithm was implemented on an example serial anthropomorphic manipulator with joint displacement constraints and obtains the possible variations to the manipulator topology that allow the required workspace to be achievable under the given joint displacement constraints. Results are presented and discussed.