We present a novel fuzzy sliding mode control technique for a class of second order dynamical systems based on a piecewise linear sliding manifold. The proposed approach benefits from a reduction in the control action magnitude with respect to classical sliding mode control strategies, enhancing the effectiveness of such strategies under a saturated control input. In addition, employing the pro...

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...

Abstract: Presented is a method of continuous sliding mode control design to provide for the second-order sliding mode on the selected sliding surfaces in a three-loop control system, where two outer-loop virtual control signals must be smooth enough to be tracked in the inner loops. The control law in the vicinity of the sliding surface is a nonlinear dynamic feedback that in absence of unknow...

The requirement of a uniformly bounded convergence time for all initial conditions is important for modern control theory. In particular the requirement appears in design of hybrid or switched systems. It can happen in such systems that a dynamic system repeatedly changes its configuration, and the configuration only lasts for some bounded time with its lower estimation known in advance. The na...

This paper presents a second order sliding mode control (SOSMC) for a single link flexible manipulator, which represents a class of under actuated systems. A second order super twisting algorithm (STA) is used to provide better positional accuracy and robustness against parametric variation and external disturbances with alleviation in chattering. A smooth control is synthesized using STA to ex...

In this paper, a chattering-free sliding-mode control is mainly proposed in a second-order discrete-time system. For achieving this purpose, firstly, a suitable control law would be derived by using the discrete-time Lyapunov stability theory and the sliding-mode concept. Then the input constraint is taken into account as a saturation function in the proposed control law. In order to guarantee ...