TY - JOUR N2 - Abstract The paper presents the approximation problem of the inverse kinematics algorithms for the redundant manipulators. We introduce the approximation of the dynamically consistent Jacobian by the extended Jacobian. In order to do that, we formulate the approximation problem and suitably defined approximation error. By the minimization of this error over a certain region we can design an extended Jacobian inverse which will be close to the dynamically consistent Jacobian inverse. To solve the approximation problem we use the Cholesky decomposition and the Ritz method. The computational example illustrates the theory. L1 - http://www.czasopisma.pan.pl/Content/84352/PDF/3.pdf L2 - http://www.czasopisma.pan.pl/Content/84352 PY - 2015 IS - No 1 DO - 10.1515/acsc-2015-0003 A1 - Ratajczak, Joanna PB - Committee of Automatic Control and Robotics PAS DA - 2015[2015.01.01 AD - 2015.12.31 AD] T1 - Design of inverse kinematics algorithms: extended Jacobian approximation of the dynamically consistent Jacobian inverse UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/84352 T2 - Archives of Control Sciences ER -