一类概率依赖的不完全测量非线性系统的H_∞滤波

Probability-dependent H_∞ fltering for a class of nonlinear systems with incomplete measurements

阐述了一类具有不完全测量的,随机离散非线性系统的H∞滤波问题.不完全测量信息包括了测量数据丢失和随机发生地通讯延时.通过一组Kroneckerδ函数,采用一个测量输出方程同时描述了网络化控制系统中随机出现地通讯时延和测量数据丢失现象.文章的目的是使得对所有允许的时滞、测量数据丢失、随机非线性及系统内外部随机扰动,滤波误差动态系统满足均方指数稳定和H∞范数约束.最后,通过数值例子来证明文章所述H∞滤波器的有效性.

The H∞ filtering problem is discussed for a class of nonlinear stochastic discrete systems with incomplete measurements.The considered incomplete measurements include both the missing measurements and the communication delays of random occurrences.By using a set of Kronecker delta functions,a unified measurement model is employed to describe the phenomena of random communication delays and missing measurements in networked control systems.The purpose of the problem addressed is to design an H∞ filter such that,for all nonlinearities,incomplete measurements,internal and external disturbances,the filtering error dynamics is exponentially mean-square stable and the H∞-norm requirement is satisfied.A numerical example is given to illustrate the effectiveness of the proposed filter scheme.