Robust energy-to-peak filter design for stochastic time-delay systems

2006 ◽  
Vol 55 (2) ◽  
pp. 101-111 ◽  
Author(s):  
Huijun Gao ◽  
James Lam ◽  
Changhong Wang
Keyword(s):  
Time Delay ◽  
Filter Design ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Stochastic Time

New delay-dependent filter design for stochastic time-delay systems

2009 ◽  
Vol 89 (6) ◽  
pp. 974-980 ◽  
Author(s):  
Yun Chen ◽  
Anke Xue ◽  
Shaosheng Zhou
Keyword(s):  
Time Delay ◽  
Filter Design ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Delay Dependent ◽  
Stochastic Time

scholarly journals T-S Fuzzy Model-Based Approximation and Filter Design for Stochastic Time-Delay Systems with Hankel Norm Criterion

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Yanhui Li ◽  
Xiujie Zhou
Keyword(s):  
Time Delay ◽  
Filter Design ◽  
Fuzzy Model ◽  
Lyapunov Stability Theory ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Hankel Norm ◽  
Error System ◽  
Stochastic Time

This paper investigates the Hankel norm filter design problem for stochastic time-delay systems, which are represented by Takagi-Sugeno (T-S) fuzzy model. Motivated by the parallel distributed compensation (PDC) technique, a novel filtering error system is established. The objective is to design a suitable filter that guarantees the corresponding filtering error system to be mean-square asymptotically stable and to have a specified Hankel norm performance levelγ. Based on the Lyapunov stability theory and the Itô differential rule, the Hankel norm criterion is first established by adopting the integral inequality method, which can make some useful efforts in reducing conservativeness. The Hankel norm filtering problem is casted into a convex optimization problem with a convex linearization approach, which expresses all the conditions for the existence of admissible Hankel norm filter as standard linear matrix inequalities (LMIs). The effectiveness of the proposed method is demonstrated via a numerical example.

Sliding mode mean square filter design for linear stochastic time delay systems

2014 ◽  
Vol 351 (12) ◽  
pp. 5340-5357 ◽  
Author(s):  
Pablo Rodríguez-Ramírez ◽  
Jesús Rodríguez-González
Keyword(s):  
Time Delay ◽  
Filter Design ◽  
Sliding Mode ◽  
Delay Systems ◽  
Mean Square ◽  
Time Delay Systems ◽  
Stochastic Time

Delay-dependent – filter design for stochastic time-delay systems

2007 ◽  
Vol 56 (9-10) ◽  
pp. 579-587 ◽  
Author(s):  
Jianwei Xia ◽  
Shengyuan Xu ◽  
Bo Song
Keyword(s):  
Time Delay ◽  
Filter Design ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Delay Dependent ◽  
Stochastic Time
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