Event-triggered H∞ state feedback controller design of a T-S fuzzy system based on piecewise Lyapunov function

Author(s):  
Mengjiao Shen ◽  
Changzhu Zhang ◽  
Zhiguang Feng ◽  
Hong Sun ◽  
Chengyang Shen ◽  
...  
2011 ◽  
Vol 403-408 ◽  
pp. 3813-3818
Author(s):  
Jian Wu Zhu ◽  
Yuan Chun Ding

This paper is concerned with the problem of robust stability and stabilization of singular systems with uncertainties in both the derivative and state matrices. By using a parameter dependent Lyapunov function, we derive the LMI-based sufficient conditions for the stabilization of the singular systems. Secondly, by solving these LMIs, a proportional plus derivative (PD) state feedback controller is designed for the closed-loop systems to be quadratically normal and quadratically stable (QNQS). Finally, the numerical example is given to show the effectiveness of the proposed theorems.


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