Exponential stabilization using sliding mode control for singular systems with time-varying delays and nonlinear perturbations

2011 ◽  
Vol 16 (10) ◽  
pp. 4099-4107 ◽  
Author(s):  
Yucai Ding ◽  
Hong Zhu ◽  
Shouming Zhong
2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Guowei Yang ◽  
Yonggui Kao ◽  
Wei Li

This paper is devoted to investigating sliding mode control (SMC) for Markovian switching singular systems with time-varying delays and nonlinear perturbations. The sliding mode controller is designed to guarantee that the nonlinear singular system is stochastically admissible and its trajectory can reach the sliding surface in finite time. By using Lyapunov functional method, some criteria on stochastically admissible are established in the form of linear matrix inequalities (LMIs). A numerical example is presented to illustrate the effectiveness and efficiency of the obtained results.


2020 ◽  
Vol 14 (5) ◽  
pp. 726-737 ◽  
Author(s):  
Yueqiao Han ◽  
Chun-Yi Su ◽  
Yonggui Kao ◽  
Cunchen Gao

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