Integral sliding mode control design for nonlinear stochastic systems under imperfect quantization

2017 ◽  
Vol 60 (12) ◽  
Author(s):  
Yabin Gao ◽  
Wensheng Luo ◽  
Jianxing Liu ◽  
Ligang Wu
2018 ◽  
Vol 41 (5) ◽  
pp. 1331-1339 ◽  
Author(s):  
Marwa Jouini ◽  
Slim Dhahri ◽  
Anis Sellami

The purpose of this study is to present a new robust sliding mode control design for nonlinear systems where both matched and unmatched uncertainties are considered. The proposed controller strategy is composed of two components: the integral sliding mode control and the optimal feedback control law. Moreover, an integral sliding mode surface in integral type is developed to construct the reachability of sliding mode using the Lyapunov functions method. The main advantages of the proposed approach are ensuring the robustness throughout the whole system response against the uncertainties, decrease the chattering effect and eliminate the reaching phase. Finally, the validity of the proposed design strategy is demonstrated through the simulation of a flexible joint robot.


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