Multiple Delay-Dependent Robust ${H_{\infty}}$ Finite-Time Filtering for Uncertain Ito Stochastic Takagi-Sugeno Fuzzy Semi-Markovian Jump Systems with State Constraints

Author(s):  
Shaoxin Sun ◽  
Huaguang Zhang ◽  
Juan Zhang ◽  
Longfei Yu ◽  
Jiayue Sun
2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Yong Zeng ◽  
Jun Cheng ◽  
Shouming Zhong ◽  
Xiucheng Dong

This paper is concerned with the problem of delay-dependent finite-timeH∞filtering for Markovian jump systems with different system modes. By using the new augmented multiple mode-dependent Lyapunov-Krasovskii functional and employing the proposed integrals inequalities in the derivation of our results, a novel sufficient condition for finite-time boundness with anH∞performance index is derived. Particularly, two different Markov processes have been considered for modeling the randomness of system matrix and the state delay. Based on the derived condition, theH∞filtering problem is solved, and an explicit expression of the desired filter is also given; the system trajectory stays within a prescribed bound during a specified time interval. Finally, a numerical example is given to illustrate the effectiveness and the potential of the proposed techniques.


Author(s):  
Wenhai Qi ◽  
Yaoyao Zhou ◽  
Lihua Zhang ◽  
Jinde Cao ◽  
Jun Cheng

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