This paper presents a systematic approach to design a Lyapunov based super twisting differentiator. The differentiator will be shown convergent in a finite time whilst the relevant time is accurately estimated.  This differentiator is the main part to establish the sliding surface in higher order sliding mode. The differentiator  is used in the prescribed control structure  to regulate pressure...

One approach to a fundamental study of the wear of a material is to investigate the frictional behavior and surface failure of a simplified system, such as single crystals, under conditions of single-pass sliding. Such an approach has been used to study the influence of sliding direction and environment on the surface failure of fluorapatite single crystals.1.2 A useful extension of this single...

the aim of this paper is to design a fractional order sliding mode controllers (fosmc)for a class of dc-dc converters such as boost and buck converters. firstly, the control lawis designed with respect to the properties of fractional calculus, the design yields an equiv-alent control term with an addition of discontinuous (attractive) control law. secondly, themathematical proof of the stabilit...

In this paper, a Fractional Adaptive Fuzzy Logic Control (FAFLC) strategy based on active fractional sliding mode (FSM) theory is considered to synchronize chaotic fractional-order systems. Takagi-Sugeno fuzzy systems are used to estimate the plant dynamics represented by unknown fractional order functions. One of the main contributions in this work is to combine an adaptive fractional order PI...

This paper deals with the design of nonlinear PI control techniques for regulating a class of fractional-order dynamics governed by a commensurate-order model, possibly nonlinear, perturbed by an external disturbance. The suggested control algorithm is the combination between a fractional-order PI controller and a nonlinear robust version of it, namely a secondorder sliding mode control algorit...

In this paper a Sliding mode controller (SMC) scheme based on the power rate reaching law approach has been proposed for the inner loop current control of the 3-Phase Brushless DC motor (BLDC) drive. A proportionalintegral (PI) controller is used to control the outer loop speed performance. The developed PI-SMC control scheme is simulated on MATLAB/SIMULINK platform under a sequence of load tor...

In this paper, a sliding mode control system with a predictive proportional-integral-derivative (PPID-SMC) sliding surface is proposed. A robust sliding mode controller is suggested to track the desired trajectory despite uncertainty, set point variations, and external disturbances. The proposed sliding mode controller is chosen to ensure the stability of overall dynamics during the reaching ph...

We explore electro-catalytic properties of a system consisting of platinum and palladium nanoparticles dispersed over a nanotubular self-organized TiO2 matrix. These electrodes prepared by electroess and microemulsion of palladium and palladium nanoparticles on to TiO2 nanotubes, respectively. Titanium oxide nanotubes were fabricated by anodizing titanium foil in ethylene glycol (EG) fluoride-c...

Motility on surfaces is an important mechanism for bacterial colonization of new environments. In this report, we describe detection of rapid surface motility in the wild-type Bacillus subtilis Marburg strain, but not in several B. subtilis 168 derivatives. Motility involved formation of rapidly spreading dendritic structures, followed by profuse surface colonies if sufficient potassium ion was...