Journal
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
Volume 23, Issue 17, Pages 1990-2012Publisher
WILEY
DOI: 10.1002/rnc.2866
Keywords
two-dimensional (2D) fuzzy system; Hfiltering; basis-dependent Lyapunov functions
Funding
- National Nature Science Foundation [61074006]
- Jiangsu province Graduate Student Research Innovative Project [CXLX11_0253]
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This paper is concerned with the H filtering problem for two-dimensional T-S fuzzy systems. Sufficient conditions for the solvability of this problem are obtained by using basis-dependent Lyapunov functions. By considering the measured output as an independent variable with respect to the state variable and the disturbance input, a new method for designing two-dimensional H filters is presented. Moreover, it has been shown that the proposed method is equivalent to the conventional one. Therefore, the proposed method does not lead to any conservativeness that may be caused by separately considering the measured output, the state variable, and the disturbance input. In converting the parameterized linear matrix inequalities (PLMI) into LMI constraints, attention is focused on the reduction of the number of LMI-based conditions. On the basis of the proposed theorem, the number of LMI-based conditions is reduced to r(3) from r(3)(r+1)(2)/4 by the conventional method. Thus, the computational advantage is obvious for fuzzy systems with large number of fuzzy rules. Simulation results have demonstrated the effectiveness of the proposed method. Copyright (c) 2012 John Wiley & Sons, Ltd.
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