具有多包数据丢失非线性系统的耗散模糊滤波

Dissipative fuzzy filtering for nonlinear systems with multiple packet dropouts

研究一类存在多包数据随机丢失非线性滤波系统的模糊滤波器设计问题,采用T-S模糊模型对非线性系统进行建模,并用已知概率分布的二进制切换序列来描述数据多包随机丢失现象.基于线性矩阵不等式方法给出了模糊滤波器存在的充分条件,该条件保证所设计的模糊滤波器使得滤波误差系统均方指数稳定且满足期望的耗散性能指标.最后通过数字仿真例子说明了设计方法的有效性.

The problem of designing a dissipative fuzzy filter is addressed for a class of nonlinear systems with multiple packet dropouts. The Takagi and Sugeno（T-S） fuzzy model is employed to represent a discrete-time nonlinear system, and the multiple packet dropouts in measurements are described by a binary switching sequence satisfying a conditional probability distribution. Based on a linear matrix inequality（LMI） approach, we develop a fuzzy dissipative filter which guarantees that the filter-error systems are exponentially mean-square stable and with strict dissipativeness. A numerical example is provided to illustrate the design developed in this paper.