in this paper, under the existence of system uncertainties, external disturbances, and input nonlinearity, global finite time synchronization between two identical attractors which belong to a class of second-order chaotic nonlinear gyros are achieved by considering a method of continuous smooth second-order sliding mode control (hoamsc). it is proved that the proposed controller is robust to m...

A high-order sliding mode control algorithm is proposed for nonlinear uncertain systems based on geometric homogeneity and fast terminal sliding mode. Homogeneity approach used to stabilize the nominal system, and fast terminal sliding mode used to reject the uncertainty, are applied to constructing the controller. High-order sliding mode is established by the proposed algorithm, the boundary o...

In conventional sliding-mode control systems, the sliding-mode motion is of reduced order. Two main problems hindering the application of the sliding-mode control are the singularity in terminal slidingmode control systems and the chattering in both the conventional linear sliding-mode and the terminal sliding-mode control systems. This paper proposes a chattering-free full-order terminal-slidi...

This paper proposes a new adaptive controller for the robust control of a grid-connected multi-DG microgrid (MG) with the main aim of output active power and reactive power regulation as well as busbar voltage regulation of DGs. In addition, this paper proposes a simple systematic method for the dynamic analysis including the shunt and series faults that are assumed to occur in the MG. The pres...

This paper presents a novel fuzzy logic based Adaptive Super-twisting Sliding Mode Controller for the control of dynamic uncertain systems. The proposed controller combines the advantages of Second order Sliding Mode Control, Fuzzy Logic Control and Adaptive Control. The reaching conditions, stability and robustness of the system with the proposed controller are guaranteed. In addition, the pro...

In this work, we propose a novel technique of higher order sliding mode control in order to solve the problem of chattering phenomenon which appears, generally, with standard sliding mode controller. The proposed approach provides an exponential stability on the sliding surface and guarantees the robustness of the closed loop system against uncertainties and external matched disturbances. The r...

This paper presents an adaptive higher order sliding mode controller based on first adaptive sliding mode control and an integral sliding variable. The idea is based on the definition of a nominal control which can stabilize a pure chain of integrators to zero in finite time. The novelty of the proposed approach is that uncertainties/perturbations effects are rejected by a first order sliding m...

Abstract This paper proposes an adaptive fractional-order sliding mode controller to control and stabilize a nonlinear uncertain disturbed robotic manipulator in fixed-time. Fractional calculus is used construct (FtNTSM) that suppresses chattering help the converge equilibrium fixed-settling time based on fixed-time stability theory. Then, introduced combined with FtNTSM overcome unknown system...

This paper presents the design of an integral sliding-mode controller for a piezoelectric-actuated system. The sliding-mode disturbance (uncertainty) estimation and compensation scheme is used. The nonlinear piezoelectric-actuated system is modeled as a first order linear model coupled with a hysteresis. When the model is identified, the hysteresis nonlinearity is linearized then the linear sys...

This paper investigates the anti–synchronization problem between two different fractional-order chaotic and hyperchaotic systems using modified adaptive sliding mode control technique in presence of uncertain system parameters. To construct proposed scheme, a simple surface is first designed. Then, sliding-mode controller derived to guarantee occurrence motion. Based on Lyapunov stability theor...