Fractional order sliding mode control for the tracking problem of Quadrotor UAV under external disturbances

Author(s):  
M. LABBADI ◽  
Y. BOUKAL ◽  
M. TALEB ◽  
M. CHERKAOUI
Author(s):  
Bin Wang ◽  
Yangquan Chen ◽  
Ying Yang

Abstract This paper studies the chattering-free finite-time control for a class of fractional-order nonlinear systems. First, a class of fractional-order nonlinear systems with external disturbances is presented. Second, a new finite-time terminal sliding mode control method is proposed for the stability control of a class of fractional-order nonlinear systems by combining the finite-time stability theory and sliding mode control scheme. Third, by designing a controller with a differential form and introducing the arc tangent function, the chattering phenomenon is well suppressed. Additionally, a controller is developed to resist external disturbances. Finally, numerical simulations are implemented to demonstrate the feasibility and validity of the proposed method.


Author(s):  
Bachir Bourouba

In this chapter a new direct adaptive fuzzy optimal sliding mode control approach is proposed for the stabilization of fractional chaotic systems with different initial conditions of the state under the presence of uncertainties and external disturbances. Using Lyapunov analysis, the direct adaptive fuzzy optimal sliding mode control approach illustrates asymptotic convergence of error to zero as well as good robustness against external disturbances and uncertainties. The authors present a method for optimum tuning of sliding mode control system parameter using particle swarm optimization (PSO) algorithm. PSO is a robust stochastic optimization technique based on the movement and intelligence of swarm, applying the concept of social interaction to problem solving. Simulation examples for the control of nonlinear fractional-order systems are given to illustrate the effectiveness of the proposed fractional adaptive fuzzy control strategy.


2018 ◽  
Vol 21 (1) ◽  
pp. 156-171 ◽  
Author(s):  
Xiaoyu Shi ◽  
Yuhua Cheng ◽  
Chun Yin ◽  
Sara Dadras ◽  
Xuegang Huang

Mathematics ◽  
2021 ◽  
Vol 9 (24) ◽  
pp. 3160
Author(s):  
Luis Arturo Soriano ◽  
José de Jesús Rubio ◽  
Eduardo Orozco ◽  
Daniel Andres Cordova ◽  
Genaro Ochoa ◽  
...  

Sliding mode control is a robust technique that is used to overcome difficulties such as parameter variations, unmodeled dynamics, external disturbances, and payload changes in the position-tracking problem regarding robots. However, the selection of the gains in the controller could produce bigger forces than are required to move the robots, which requires spending a large amount of energy. In the literature, several approaches were used to manage these features, but some proposals are complex and require tuning the gains. In this work, a sliding mode controller was designed and optimized in order to save energy in the position-tracking problem of a two-degree-of-freedom SCARA robot. The sliding mode controller gains were optimized usinga Bat algorithm to save energy by minimizing the forces. Finally, two controllers were designed and implemented in the simulation, and as a result, adequate controller gains were found that saved energy by minimizing the forces.


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