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Collocation methods for second order systems
(2022)
Conference report
Open AccessCollocation methods for numerical optimal control commonly assume that the system dynamics is expressed as a first order ODE of the form x¿ = f(x, u, t), where x is the state and u the control vector. However, in many ... -
Kinematics of a gear-based spherical mechanism
(Springer, 2022)
Conference report
Restricted access - publisher's policyKazuki Abe and his collaborators have recently presented an actuated gear-based spherical mechanism called ABENICS. It has received a lot of attention, not only because of its eye-catching motions during operation, but ... -
The distance geometry of the generalized lobster’s arm
(Springer, 2022)
Conference report
Restricted access - publisher's policyThis paper proposes a distance-based formulation to solve the inverse kinematics of what is known as the generalized Lobster's arm: a 6R serial chain in which all consecutive revolute axes intersect. Since the solution of ... -
Model predictive control for a Mecanum-wheeled robot navigating among obstacles
(Elsevier, 2021)
Conference report
Open AccessMecanum-wheeled robots have been thoroughly used to automate tasks in many different applications. However, they are usually controlled by neglecting their dynamics and relying only on their kinematic model. In this paper, ... -
Clifford’s identity and generalized Cayley-Menger determinants
(Springer Nature, 2020)
Conference report
Open AccessDistance geometry is usually defined as the characterization and study of point sets in Rk, the k-dimensional Euclidean space, based on the pairwise distances between their points. In this paper, we use Clifford’s identity ... -
A space decomposition method for path planning of loop linkages
(2007)
Conference report
Open AccessThis paper introduces box approximations as a new tool for path planning of closed-loop linkages. Box approximations are finite collections of rectangloids that tightly envelop the robot's free space at a desired resolution. ... -
Visually-guided robot navigation: from artificial to natural landmarks
(2007)
Conference report
Open AccessLandmark-based navigation in unknown unstructured environments is far from solved. The bottleneck nowadays seems to be the fast detection of reliable visual references in the image stream as the robot moves. In our research, ... -
Natural landmark detection for visually-guided robot navigation
(2007)
Conference report
Open AccessThe main difficulty to attain fully autonomous robot navigation outdoors is the fast detection of reliable visual references, and their subsequent characterization as landmarks for immediate and unambiguous recognition. ... -
Exploiting single-cycle symmetries in branch-and-prune algorithms
(2007)
Conference report
Open AccessAs a first attempt to exploit symmetries in continuous constraint problems, we focus on permutations of the variables consisting of one single cycle. We propose a procedure that takes advantage of these symmetries by ... -
Singularity-free computation of quaternions from rotation matrices in E4 and E3
(2018)
Conference report
Open AccessA real orthogonal matrix representing a rotation in E4 can be decomposed into the commutative product of a left-isoclinic and a right-isoclinic rotation matrix. The double quaternion representation of rotations in E4 follows ... -
A fast branch-and-prune algorithm for the position analysis of spherical mechanisms
(Springer, 2019)
Conference report
Open AccessDifferent branch-and-prune schemes can be found in the literature for numerically solving the position analysis of spherical mechanisms. For the prune operation, they all rely on the propagation of motion intervals. They ... -
Forward kinematics of the general triple-arm robot using a distance-based formulation
(Springer, 2017)
Conference report
Open AccessDistance-based formulations have successfully been used to obtain closure polynomialsfor planar mechanisms without relying, in most cases, on variable eliminations. The methods re-sulting from previous attempts to generalize ...