Abstract:
In this paper, we investigate the H
∞ filter design problem for a class of non-linear time-delay control systems with random sensor failure and process. The main aspects of our work are as follows. (a) We use a Takagi-Sugeno (T-S) fuzzy model to describe non-linear time-delay dynamic systems with process. (b) We model a system with a random sensor failure. (c) Using the delay partitioning technique, we deduce the sufficiency condition that the filtering error system is asymptotically stable in the global probability space and that it reaches H
∞ performance. (d) We provide further filter parameters, and determine the filter coefficient matrices by solving a set of linear matrix inequalities (LMIs). Finally, we give a numerical example to show the effectiveness and reliability of the proposed method.