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 ...

Absrrucr In this paper, a new fuzzy sliding mode control scheme is proposed for second-order linear timevarying systems in order to obtain faster error convergence and desired error dynamics. It is well known that a second-order linear time-varying system can be used to model higher order linear time invariant systems piece-wisely. Therefore, it is necessary to do deep investigation for the sta...

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...