Robust H∞ filtering for nonlinear systems with interval time-varying delays
Date
2010
Authors
Deng, Z.
Shi, P.
Yang, H.
Xia, Y.
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International Journal of Innovative Computing Information and Control, 2010; 6(12):5527-5538
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Zhihong Deng, Peng Shi, Hongjiu Yang and Yuanqing Xia
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Abstract
In this paper, robust H∞ filtering problem for a class of linear fractional uncertain continuous-time nonlinear systems with interval time-varying delays is investigated. The delay factor is assumed to be time-varying and belongs to a given interval, which means that the lower and upper bounds of the interval time-varying delays are available. Furthermore, the derivative of the time-varying delay function can be larger than one. Based on Lyapunov-Krasovskii functional, a new sufficient condition for the solvability of this problem is presented in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, an expression of a desired H∞ filter is given. A numerical example is given to illustrate the effectiveness of the developed techniques.
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© ICIC International 2010