L2-L∞ Fuzzy Filtering for Nonlinear Time-delay Jump Systems with Uncertain Parameters

摘要

The L2-L∞ fuzzy filtering problem for a class of nonlinear time-delay jump systems with uncertain parameters is considered. By using the constructed Lyapunov-Krasovskii function, a sufficient condi-tion that the solution of the L2-L∞ fuzzy filter existed is given and proved. The results are de-rived by the form of linear matrix inequalities (LMIs) and the design problem of L2-L∞ fuzzy fil-ter is described as an optimization one. The pre-sented fuzzy filter makes the error systems have ex-ponentially stochastically stability and satisfy the given L2-L∞ performance index. Simulation re-sults demonstrate the validity of the proposed ap-proaches.