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|Title:||Robust H∞ filtering for a class of Markovian jump systems with time-varying delays based on delta operator approach|
|Other Titles:||Robust H-infinity filtering for a class of Markovian jump systems with time-varying delays based on delta operator approach|
|Citation:||Asian Journal of Control, 2011; 13(3):398-407|
|Hongjiu Yang, Peng Shi, Jinhui Zhang, and Jiqing Qiu|
|Abstract:||In this paper, the robust H∞ filtering problem for a class of discrete Markovian jump systems with time-varying delays and linear fractional uncertainties is investigated based on delta operator approach. Based on Lyapunov-Krasovskii functional in delta domain, new delay-dependent sufficient conditions for the solvability of this problem are presented in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired jump H∞ filter is given. The proposed method can unify some previous related continuous and discrete systems into the delta operator systems framework. Numerical examples are given to illustrate the effectiveness of the developed techniques|
|Keywords:||Delta operators; H∞ filtering; robust filtering; Markovian jump parameters; time-varying delays; linear fractional uncertainties; linear matrix inequalities (LMIs)|
|Rights:||© 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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