The filtering of dynamic systems has become a hot topic in current research, and a large number of filter design methods have emerged. It should be noted that these research results are obtained based on the Lyapunov function analysis method, which is considered a powerful tool to ensure the stability of the systems [1, 2]. Moreover, the filtering problems for T-S fuzzy systems has also been widely studied within the framework of Lyapunov theory. For example, Refs. [3, 4]. However, it should be explained that the results mentioned above were presented based on the quadratic Lyapunov functions, which have been proved to be some conservatism. Therefore, it is necessary to explore new Lyapunov functions to reduce the conservatism.