and Applied Analysis 3 Fractional calculus is a generalization of integer-order integration and differentiation to non-integer-order ones. Let symbol aDt denote the fractional-order fundamental operator, defined as follows 20, 21 : D aDt ⎧ ⎪ ⎪⎨ ⎪ ⎪⎩ d dtλ R λ > 0, 1 R λ 0, ∫ t a dτ −λ R λ < 0, 2.1 where a and t are the limits of the operation, λ is the order of the operation, and generally λ ∈ ...

This study develops a fuzzy sliding mode controller (FSMC) based on a variable boundary layer. A fuzzy inference mechanism is used to on-line tune the thickness of the boundary layers of the controller. Minimum rule base has been used for the fuzzy inference system which results in low calculation effort. The aim of this paper is to design a controller which will eliminate the chattering of FSM...

Sliding mode control is introduced into classical model free fuzzy logic control for discrete time nonlinear systems with uncertainty to the design of a novel fuzzy sliding mode control to meet the requirement of necessary and sufficient reaching conditions of sliding mode control. The simulation results show that the proposed controller outperforms the original fuzzy sliding mode controller an...

in industrial robotic manipulator, due to the presence of quite nonlinear dynamic and structural and nonstructural uncertainties, a precise model is not easily obtained. as a result, designing a controller with a suitable function based on system model is a challenging issue. sliding mode control is a robust control with numerous applications which can overcome the aforementioned uncertainties....

sliding mode control (smc) is a powerful approach to solve the tracking problem for   dynamical systems with uncertainties. however, the traditional smcs introduce actuator chattering phenomenon which performs a desirable behavior in many physical systems such as servo control and robotic systems, particularly, when the zero steady state error is required.  many methods have been proposed to el...

A global non-singular terminal sliding mode controller for second order uncertain nonlinear dynamic systems, which enables enables finite time reachibility and elimination of the singularity problem associated with conventional terminal sliding mode control. The tracking precision problem is also explored. The relationship between the tracking precision and the width of the saturation function ...

In this paper a modified design of a sliding mode controller based on fuzzy logic for a soft switching sepic converter is introduced. Here a proportional integral (PI)-type current mode control is employed and a sliding mode controller is designed utilizing fuzzy algorithm. Sliding mode controller ensures robustness against all variations and fuzzy logic helps to reduce chattering phenomenon in...

Proton exchange membrane fuel cells have been causing attention because of theirs many advantages. In order to maintain good working condition good controller is required. In this study, the mathematical model for proton exchange membrane fuel cell is developed. Then combining the characteristics of fuzzy control and sliding mode control fuzzy sliding mode controller is designed. The controller...