Comments on "A sliding mode controller with bound estimation for robot manipulators"

In the above paper by Su-Leung (IEEE Trans. Robot Automat., vol.9, no.2, p.208-14 (1993)), an adaptive sliding mode control scheme for the trajectory control of robot manipulators is developed. The proof of Theorem 1 in the paper is accomplished by resorting to the Lasalle theorem. It is well known that the Lasalle theorem can be applied to either autonomous systems or periodic nonautonomous systems, but it is not applicable to general nonautonomous systems. The Lasalle theorem is not applicable to the manipulator tracking control system given in the paper because the tracking control system considered in the paper is neither an autonomous system nor a periodic nonautonomous system but it can be classified into general nonautonomous systems. Therefore, the proof of Theorem 1 in the paper is not correct.<>