不完全测量情形下非线性离散时滞系统的模糊H∞滤波

摘要

In this paper, the H∞ filtering problem is considered for a class of nonlinear discrete time-delay systems with incomplete measurements, where the nonlinearities are assumed to satisfy sector conditions, and the incomplete measurements are described by a stochastic variable that obeys Bernoulli distribution. The aim is to design filters such that the filter error system is mean-square exponentially stable with a prescribed disturbance attenuation level. First, based on a fuzzy Lyapunov functional, delay-dependent sufficient conditions on the meansquare exponential stability of the filter error system are derived. Then, the H∞ filter design approach is proposed. The filter parameters can be obtained by solving a set of linear matrix inequalities (LMIs).%针对非线性离散时滞模糊系统,研究其不完全测量情形下的H∞滤波问题.假设非线性项满足扇形条件,并利用服从Bernoulli分布的随机变量来描述不完全测量.目的是设计H∞滤波器,使得滤波误差系统均方指数稳定且满足给定的干扰抑制水平.首先,基于模糊Lyapunov泛函得到了滤波误差系统均方指数稳定的时滞依赖充分条件.然后,给出了H∞滤波器的设计方法.H∞滤波器的参数可通过求解一组线性矩阵不等式得到.