Almost sure stability of second‐order nonlinear stochastic system with Lévy noise via sliding mode control

2019 ◽  
Vol 29 (17) ◽  
pp. 6053-6063 ◽  
Author(s):  
Mengling Li ◽  
Feiqi Deng ◽  
Xinzhi Liu
Keyword(s):  
Sliding Mode Control ◽  
Stochastic System ◽  
Sliding Mode ◽  
Second Order ◽  
Lévy Noise ◽  
Nonlinear Stochastic System ◽  
Almost Sure Stability ◽  
Mode Control ◽  
Levy Noise

scholarly journals A New Control Method for Second-Order Multiple Models Control System Based on Global Sliding Mode

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Dan-xu Zhang ◽  
Yang-wang Fang ◽  
Peng-fei Yang ◽  
You-li Wu ◽  
Tong-xin Liu
Keyword(s):  
Control System ◽  
Sliding Mode Control ◽  
Finite Time ◽  
Sliding Mode ◽  
Second Order ◽  
Multiple Models ◽  
Finite Time Convergence ◽  
Mode Control ◽  
Global Sliding Mode Control ◽  
Control Scheme

This paper proposed a finite time convergence global sliding mode control scheme for the second-order multiple models control system. Firstly, the global sliding surface without reaching law for a single model control system is designed and the tracking error finite time convergence and global stability are proved. Secondly, we generalize the above scheme to the second-order multimodel control system and obtain the global sliding mode control law. Then, the convergent and stable performances of the closed-loop control system with multimodel controllers are proved. Finally, a simulation example shows that the proposed control scheme is more effective and useful compared with the traditional sliding mode control scheme.

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