Mathematical modelling plays an important role for robotic manipulators in order to design
their particular controllers. Also, it is hard challenge to obtain an accurate mathematical …

We establish interval arithmetic as a practical tool for certification in numerical algebraic
geometry. Our software HomotopyContinuation. jl now has a built-in function certify, which …

In most industrial robot applications, on-site robot operation is required. However, this is not
feasible for certain harsh operating conditions, such as high temperatures and intense …

Inverse kinematics (IK) has been extensively applied in the areas of robotics, computer
animation, ergonomics, and gaming. Typically, IK determines the joint configurations of a …

The extended Jacobian is a technique for solving the redundancy of redundant robots. It is
based on the definition of secondary tasks, through constraint functions that are added to the …

Numerical nonlinear algebra is concerned with the development of numerical methods to
solve problems in nonlinear algebra. The main computational task is the solution of systems …

The article is devoted to the structural synthesis of mechanisms of parallel structure,
belonging to the class l-coordinate mechanisms. Studies of the mechanisms of the parallel …

Differential evolution is a popular algorithm for solving global optimization problems. When
tested, it has reportedly outperformed both robotic problems and benchmarks. However, it …

This article is devoted to the novel spatial parallel mechanism synthesis. The new
mechanism is the 6-DOF extension of the Cartesian parallel robot. Suggested mechanism …

This article provides a comparative analysis of the various structural schemes of Isoglide-
type mechanisms. Several variants of the kinematic chains with the different number and …