时滞交联系统的H_∞滤波设计

H_∞ Filter Design for Delayed Interconnected Systems

基于T-S模糊模型方法,针对一类时滞交联系统,提出了一种集中H∞滤波设计新方案.通过构造新的模糊线积分李雅普诺夫泛函,给出了整体滤波误差系统时滞相关的集中H∞滤波设计LMI条件,降低了性能指标的保守性.最后通过仿真例子说明了所提方法的有效性和优越性.

A decentralized H∞ filter design for delayed interconnected systems based on Takagi-Sugeno （ T-S） fuzzy models was proposed. By using the fuzzy line-integral Lyapunov function approach,the conditions for de-lay-dependent decentralized H∞ filter design guaranteeing the asymptotic stability and a prescribed H∞ per-formance index of the overall filter error system were proposed in terms of linear matrix inequalities （ LMIs） . The obtained results were less conservative,and these effectiveness and advantages were shown by a numerical example.