H _ ∞ Filtering for Discrete-Time Nonlinear Systems

摘要: This chapter is concerned with the problem for a class of nonlinear systems. It is supposed that the time delay belongs to a given interval, and the designed filter has additive gain variation satisfying Bernoulli distribution. A sufficient condition is established to guarantee asymptotically mean-square stable of the filtering error systems with a prescribed performance. Furthermore, an improved result of filtering for a linear system is also obtained. The filter parameters are obtained by solving a set of linear matrix inequalities. Two examples, which includes a longitudinal flight system, are given to show the effectiveness of the proposed method.