Generalized H2 filter design for T-S fuzzy systems with quantization and packet loss

In this paper, the problem of generalized H₂ filtering is concerned for a class of discrete-time T-S fuzzy systems with measurement quantization and packet loss. The quantized measurements are transmitted to the filter via an imperfect communication channel, where the phenomenon of packet loss can be encountered. A random binary process is utilized to describe the packet dropouts, while the quantization errors are treated as sector bound uncertainties. Attention is focused on the design of generalized H₂ piecewise filter such that the filtering error system is stochastically stable and preserves a guaranteed generalized H₂ performance. The developed filter gains can be obtained by solving a set of linear matrix inequalities. Finally, an illustrative example is provided to show the effectiveness of the proposed method.