H∞ Filtering for Nonlinear Networked Control Systems with Mixed Random Delays and Packet Dropouts

Abstract

In this paper, the problem of H _∞ filter design is investigated for a class of nonlinear networked control systems on the basis of the interval type-2 fuzzy set theory. First, mixed random delay and packet dropouts are taken into consideration in the filter design process. And the membership functions and number of fuzzy rules of the filter are different from the plant. Second, the fuzzy filtering error system is built based on interval type-2 fuzzy model. Then, by using Lyapunov function, stability judgment theory, Wirtinger inequality and linear matrix inequality, the filter stability condition is given. Finally, simulation example is provided to show the effectiveness of the method proposed in this paper.