in this paper, an optimal adaptive fuzzy integral sliding mode control is presented to control the robot manipulator position tracking in the presence of uncertainties and permanent magnet dc motor. in the proposed control, sliding surface of the sliding mode control is defined according to the information of position tracking error, derivatives, and error integral. in order to estimate bounds ...

This paper proposes a higher order sliding mode controller for uncertain robot manipulators. The motivation for using high order sliding mode mainly relies on its appreciable features, such as high precision and elimination of chattering in addition that assure the same performance of conventional sliding mode like robustness. Instead of a regular control input, the derivative of the control in...

The multi–input second order sliding mode control of nonholonomic systems is addressed in this paper. The crucial point is the necessity of describing the system in new coordinates, so as to be capable of selecting a suitable sliding manifold upon which to enforce a second order sliding mode. The procedure adopted in this paper is backstepping–based. The advantage of our proposal relies on its ...

Transient processes in the systems controlled by second-order sliding mode (SOSM) algorithms are analyzed in the frequency domain. A methodology of the frequency-domain analysis of transient processes that feature a decaying oscillation of variable frequency is developed. A simple criterion of the existence of finite-time convergence is proposed. It is shown that the convergence rate in a syste...