Hankel norm model approximation of Takagi–Sugeno fuzzy time-delay systems

2013 ◽  
Vol 350 (6) ◽  
pp. 1358-1378 ◽  
Author(s):  
Tong Peng ◽  
Xiaozhan Yang ◽  
Chunfeng Wu ◽  
Ligang Wu ◽  
Baojun Pang
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Model Approximation ◽  
Norm Model ◽  
Hankel Norm ◽  
Takagi Sugeno

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.

Resilient model approximation for Markov jump time-delay systems via reduced model with hierarchical Markov chains

2015 ◽  
Vol 47 (14) ◽  
pp. 3496-3507 ◽  
Author(s):  
Yanzheng Zhu ◽  
Lixian Zhang ◽  
Victor Sreeram ◽  
Wafa Shammakh ◽  
Bashir Ahmad
Keyword(s):  
Time Delay ◽  
Markov Chains ◽  
Delay Systems ◽  
Reduced Model ◽  
Time Delay Systems ◽  
Model Approximation ◽  
Markov Jump ◽  
Jump Time
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