The problem of inverse kinematics is fundamental in robot control. Many traditional inverse kinematics solutions, such as geometry, iteration, and algebraic methods, are inadequate in high-speed solutions and accurate positioning. In recent years, the problem of robot inverse kinematics based on neural networks has received extensive attention, but its precision control is convenient and needs ...

This article presents a novel on-line optimal control for redundant robot manipulators for which inverse kinematics is not required. The controller considers a Cartesian PID control that yields stability of the closed loop, but presents poor performance unless using high gains. A joint space dynamic optimal control based on the gradient flow approach is introduced to improve the performance of ...

Robots are rapidly becoming part of our lives, coexisting, interacting, and collaborating with humans in dynamic and unstructured environments. Mapping of human to robot motion has become increasingly important, as human demonstrations are employed in order to “teach” robots how to execute tasks both efficiently and anthropomorphically. Previous mapping approaches utilized complex analytical or...

This paper is aimed at presenting a study on the kinematics of the Tricept robot, which comprises a three-degree-offreedom (dof) parallel structure having a radial link of variable length. The robot workspace is characterized and the inverse kinematics equation is obtained by using spherical coordinates. The inverse differential kinematics and statics are derived in terms of both an analytical ...

A kinematic mapping of planar displacements is used to derive generalized constraint equations having the form of ruled quadric surfaces in the image space. The forward kinematic problem for all three legged, three degree of freedom planar parallel manipulators thus reduces to determining the points of intersection of three of these constraint surfaces, one corresponding to each leg. The invers...

Inverse kinematics solutions of a reconfigurabie robot system built upon a collection of standardized components is dificult to obtain because of its varying configuration. This paper addresses the formulation of a generic numerical inverse kinematics model and automatic generation of the model for arbitrary robot geometry including serial type and branching type geometry. Both revolute and pri...

This article presents a novel on-line optimal control for tracking tasks on robot manipulators for which inverse kinematics is not required. The controller is composed by a stabilization Cartesian PID control plus a joint space optimal control, which is in charge of improving tracking performance. The joint space dynamic optimal control is based on the gradient flow approach with the robot dyna...

The inverse kinematics solutions of a reconfigurable robot system built upon a collection of standardized components is difficult to obtain because of its varying configurations. This article addresses the formulation of a generic numerical inverse kinematics model and automatic generation of the model for arbitrary robot geometry including serial and tree-typed geometries. Both revolute and pr...

This report studies robot modelling by means of the computer algebra tool Maple. First coordinate systems are described, and the more general way with transformation matrices is chosen in the further work. The position kinematics of the robot are then described by homogeneous transformations. The Denavit-Hartenberg representation is used, which is a systematic way to develop the forward kinemat...

Using robot manipulators for high accuracy applications require precise value of the kinematics parameters. Since measurement of kinematics parameters are usually associated with errors and accurate measurement of them is an expensive task, automatic calibration of robot link parameters makes the task of kinematics parameters determination much easier. In this paper a simple and easy to use alg...