Sliding mode control for a class of nonlinear It ô stochastic systems with state and input delays

2009 ◽  
Vol 7 (3) ◽  
pp. 365-370 ◽  
Author(s):  
Yugang Niu ◽  
Bei Chen ◽  
Xingyu Wang
Keyword(s):  
Sliding Mode Control ◽  
Stochastic Systems ◽  
Sliding Mode ◽  
Mode Control ◽  
State And Input Delays ◽  
Input Delays

Sliding mode control for uncertain switched systems subject to state and input delays

2017 ◽  
Vol 40 (10) ◽  
pp. 3232-3238
Author(s):  
Yonghui Liu ◽  
Yugang Niu
Keyword(s):  
Sliding Mode Control ◽  
Control Systems ◽  
Switched Systems ◽  
Sliding Mode ◽  
Sliding Surface ◽  
Mode Control ◽  
Sliding Motion ◽  
State And Input Delays ◽  
Input Delays ◽  
Projection Strategy

This paper considers sliding mode control for a class of uncertain switched systems with state and input delays. In the control systems, each subsystem is not required to share the same input channel, which is usually assumed in previous works. By employing a weighted sum of the input matrices, a common sliding surface is designed. The sliding surface includes a predictor to compensate for the input delay of the control systems. To guarantee the asymptotic stability of the sliding motion, a switching signal based on the min-projection strategy is proposed. Moreover, it is shown that the state trajectories can be driven onto the specified sliding surface despite the presence of state and input delays and external disturbances. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.

Fast smooth second-order sliding mode control for stochastic systems with enumerable coloured noises

2017 ◽  
Vol 49 (2) ◽  
pp. 312-323 ◽  
Author(s):  
Peng-fei Yang ◽  
Yang-wang Fang ◽  
You-li Wu ◽  
Dan-xu Zhang ◽  
Yang Xu
Keyword(s):  
Sliding Mode Control ◽  
Stochastic Systems ◽  
Sliding Mode ◽  
Second Order ◽  
Mode Control ◽  
Second Order Sliding Mode

scholarly journals Sliding Mode Control of Uncertain Neutral Stochastic Systems with Multiple Delays

2008 ◽  
Vol 2008 ◽  
pp. 1-9 ◽  
Author(s):  
Dilan Chen ◽  
Weidong Zhang
Keyword(s):  
Sliding Mode Control ◽  
Stochastic Systems ◽  
Sliding Mode ◽  
Linear Matrix ◽  
Multiple Delays ◽  
Sliding Mode Controller ◽  
Matrix Inequalities ◽  
Neutral Systems ◽  
Mode Control ◽  
Neutral Stochastic Systems

This paper is concerned with the sliding mode control for uncertain stochastic neutral systems with multiple delays. A switching surface is adopted first. Then, by means of linear matrix inequalities (LMIs), a sufficient condition is derived to ensure the global stochastic stability of the stochastic system in the sliding mode for all admissible uncertainties. The synthesized sliding mode controller guarantees the existence of the sliding mode.

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