Sliding mode control (SMC) has been a very popular technology due to its simplicity and robustness against uncertainties disturbances since inception more than 60 years ago. Its foundation of stability stabilization is built on the principle Lyapunov theory which ascertains asymptotic stability. In 1990s, novel class SMC, called terminal sliding (TSMC), was proposed studied applied extensively,...

This paper proposes a novel sliding mode control (SMC) scheme to stabilize a class of fractional-order chaotic systems. Through constructing two sliding mode variables, the control problem of n-dimensional system can be transformed to the equivalent stabilizing problem of a reduced-order system. Subsequently, on the basis of second-order sliding mode (SOSM) technique, a robust control law is de...

Designing a robust tracking control for a non-linear MIMO system with uncertainty is one of the most complicated control problems. In this paper, sliding mode changed to non-linear controllable canonical form by input-output linearization. This, sliding surfaces can be defined in a way that we can de-couple equations and indicate the sliding conditions of multi-variable controller system. The u...

Based on the concept of sliding mode control, we study the problem of steady state covariance assignment for bilinear stochastic systems. We find that the invariance property of sliding mode control ensures nullity of the matched bilinear term in the system on the sliding mode. By suitably using Ito calculus, the controller u(t) can be designed to force the feedback gain matrix G to achieve the...

Combining fuzzy logic controller and sliding mode controller to exploit the superior sides of these two controllers is an active area in control theory. The dynamic behaviour of the hybrid system named as fuzzy sliding mode controller depends quite heavily on the sliding surface on which the control structure is switched. In this study, the slope of the sliding surface is continuously updated b...

In this paper, a new approach to the super-twisting sliding mode control of uncertain systems is proposed. The idea behind this control scheme is to utilize an adaptive sliding surface function, in which the slope of the surface is updated on-line using a simple single input-single output fuzzy logic inference system so that the sliding surface is rotated in such a direction that the tracking p...

Based on a novel robust integral sliding mode surface (RISM), method of designing nonlinear robust sliding mode control is presented. Firstly, the closed-loop system under the sliding mode is proved to be asymptotically stable by using Lyapunov stability theories. Then variable structure control (VSC) is constructed to ensure the reachability of the sliding surface. Robustness of the closed-loo...

one of the most important challenges in nonlinear, multi-input multi-output (mimo) and time variant systems (e.g., robot manipulator) is designing a controller with acceptable performance. this paper focused on design a new artificial non linear controller with on line tunable gain applied in the robot manipulator. the sliding mode fuzzy controller (smfc) was designed as 7 rules mamdani’s infer...