$$H_\infty $$ H ∞ Fault Detection for Discrete-Time Hybrid Systems via a Descriptor System Method

2014 ◽  
Vol 33 (9) ◽  
pp. 2807-2826 ◽  
Author(s):  
Xiaodan Zhu ◽  
Yuanqing Xia ◽  
Meiling Wang ◽  
Sasa Ma
Keyword(s):  
Fault Detection ◽  
Hybrid Systems ◽  
Discrete Time ◽  
Descriptor System ◽  
System Method

scholarly journals Robust Stabilization of Discrete-Time Switched Periodic Systems with Time Delays

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-13
Author(s):  
Yali Dong ◽  
Jing Hao ◽  
Yonghong Yao ◽  
Huimin Wang
Keyword(s):  
Robust Stability ◽  
Discrete Time ◽  
Robust Stabilization ◽  
Sufficient Conditions ◽  
Descriptor System ◽  
Periodic Systems ◽  
Linear Matrix ◽  
The Novel ◽  
System Method ◽  
Periodic State

This paper studies the problems of robust stability and robust stabilization for discrete-time switched periodic systems with time-varying delays and parameter uncertainty. We obtain the novel sufficient conditions to ensure the switched system is robustly asymptotically stable in terms of linear matrix inequalities. To obtain these conditions, we utilize a descriptor system method and introduce a switched Lyapunov-Krasovskii functional. The robust stability results are then extended to solve problems of robust stabilization via periodic state feedback. Novel sufficient conditions are established to ensure that the uncertain switched periodic system is robustly asymptotically stabilizable. Finally, we give two numerical examples to illustrate the effectiveness of our method.

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