A study of guaranteed cost control of a manipulator with a passive revolute joint

In this article, we consider the robust control problem of a two-link RR manipulator with uncertainty in the joint angle which is caused by several factors. The first purpose is to derive an uncertain linear time-invariant (LTI) system for a two-link RR manipulator which includes uncertainty in the rotational angle of each joint. The uncertainty is expressed in a system structure matrix in an explicit form. For this uncertain system, we apply guaranteed cost control. Finally, we show the effectiveness of our method by a numerical example.