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Non-fragile finite-time filter design for time-delayed Markovian jumping systems via T–S fuzzy model approach

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Abstract

In this paper, the non-fragile finite-time filtering problem is studied for a class of nonlinear Markovian jumping systems (NMJSs) with time delays and uncertainties. To design the mode-dependent non-fragile state filter, Takagi–Sugeno (T–S) fuzzy models are employed to represent the time-delayed and uncertain NMJSs. Then, based on the Lyapunov–Krasovskii functional, a sufficient condition is derived for the existence of a desired non-fragile \(H_{\infty }\) filter which also guarantees the finite-time boundness of the filtering error dynamical NMJSs. By this criterion, the approach to designing a non-fragile fuzzy filter is developed in terms of linear matrix inequalities. Finally, a numerical simulation is provided to illustrate the performance of the proposed method.

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Anhui University, Hefei, 230601, People’s Republic of China

    Shuping He

  2. School of Science, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Huiling Xu

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  1. Shuping He
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  2. Huiling Xu
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Correspondence to Shuping He.

Additional information

This work was supported in part by the National Natural Science Foundation of China (Nos. 61203051, 61174137), the Joint Specialized Research Fund for the Doctoral Program of Higher Education (No. 20123401120010), and the Key Program of Natural Science Foundation of Education Department of Anhui Province (No. KJ2012A014).

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He, S., Xu, H. Non-fragile finite-time filter design for time-delayed Markovian jumping systems via T–S fuzzy model approach. Nonlinear Dyn 80, 1159–1171 (2015). https://doi.org/10.1007/s11071-015-1933-4

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  • DOI: https://doi.org/10.1007/s11071-015-1933-4

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