Sliding Mode Controller Design Based on Backstepping Technique for Fractional Order System

2016 ◽  
Vol 9 (4) ◽  
pp. 151-157 ◽  
Author(s):  
Takahiro TAKAMATSU ◽  
Hiromitsu OHMORI
Keyword(s):  
Fractional Order ◽  
Controller Design ◽  
Sliding Mode ◽  
Fractional Order System ◽  
Order System ◽  
Sliding Mode Controller ◽  
Backstepping Technique

scholarly journals A non-integer sliding mode controller to stabilize fractional-order nonlinear systems

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Ahmadreza Haghighi ◽  
Roveida Ziaratban
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Control Method ◽  
Controller Design ◽  
Nonlinear Dynamical Systems ◽  
Sliding Mode ◽  
Slip Surface ◽  
Direct Method ◽  
Distributed Model ◽  
Sliding Mode Controller

Abstract In this study, we examine the stabilization of fractional-order chaotic nonlinear dynamical systems with model uncertainties and external disturbances. We used the sliding mode controller by a new approach for controlling and stabilization of these systems. In this research, we replaced a continuous function with the sign function in the controller design and the sliding surface to suppress chattering and undesirable vibration effects. The advantages of the proposed control method are rapid convergence to the equilibrium point, the absence of chattering and unwanted oscillations, high resistance to uncertainties, and the possibility of applying this method to most fractional order chaotic systems. We applied the direct method of Lyapunov stability theory and the frequency distributed model to prove the stability of the slip surface and closed loop system. Finally, we simulated this method on two commonly used and practical chaotic systems and presented the results.

Observation and sliding mode observer for nonlinear fractional-order system with unknown input

2016 ◽  
Vol 63 ◽  
pp. 1-10 ◽  
Author(s):  
Nadia Djeghali ◽  
Said Djennoune ◽  
Maamar Bettayeb ◽  
Malek Ghanes ◽  
Jean-Pierre Barbot
Keyword(s):  
Fractional Order ◽  
Sliding Mode ◽  
Sliding Mode Observer ◽  
Fractional Order System ◽  
Order System ◽  
Unknown Input
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