Backstepping Sliding Mode Control for the Displacement Tracking of Permanent Magnet Linear Synchronous Motor Based on Nonlinear Disturbance Observer

Author(s):  
Hong-jiao Song ◽  
Le Liu ◽  
Man-jun Cai ◽  
Nuan Shao
2019 ◽  
Vol 9 (16) ◽  
pp. 3290 ◽  
Author(s):  
Hoai Vu Anh Truong ◽  
Duc Thien Tran ◽  
Xuan Dinh To ◽  
Kyoung Kwan Ahn ◽  
Maolin Jin

The paper proposes an adaptive fuzzy position control for a 3-DOF hydraulic manipulator with large payload variation. The hydraulic manipulator uses electrohydraulic actuators as primary torque generators to enhance carrying payload of the manipulator. The proposed control combines backstepping sliding mode control, fuzzy logic system (FLS), and a nonlinear disturbance observer. The backstepping sliding mode control includes a sliding mode control for manipulator dynamics and a PI control for actuator dynamics. The fuzzy logic system is utilized to adjust the control gain and robust gain of the sliding mode control (SMC) based on the output of the nonlinear disturbance observer to compensate the payload. The Lyapunov approach and backstepping technique are used to prove the stability and robustness of the whole system. Some simulations are implemented, and the results are compared to other controllers to exhibit the effectiveness of the proposed control.


Author(s):  
Hadi Delavari ◽  
Hamid Heydarinejad

In this paper, a novel fractional-order (FO) backstepping sliding-mode control is proposed for a class of FO nonlinear systems with mismatched disturbances. Here the matched/mismatched disturbances are estimated by an FO nonlinear disturbance observer (NDO). This FO NDO is proposed based on FO backstepping algorithm to estimate the mismatched disturbances. The stability of the closed-loop system is proved by the new extension of Lyapunov direct method for FO systems. Exponential reaching law considerably decreases the chattering and provides a high dynamic tracking performance. Finally, three simulation examples are presented to show the features and the effectiveness of the proposed method. Results show that this observer approximates the unknown mismatched disturbances successfully.


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