H∞H∞ filtering of time-delay T–S fuzzy systems based on piecewise Lyapunov–Krasovskii functional

Based on a piecewise   Lyapunov–Krasovskii functional (PLKF), this paper presents an H∞H∞ piecewise filtering method for T–S fuzzy systems with time delays. It is shown that the H∞H∞ filtering performance can be satisfied if there exists a PLKF. The PLKF and the corresponding filter can be obtained by solving a set of linear matrix inequalities (LMIs). Two examples are presented to demonstrate the efficiency and advantage of the proposed method.