虑有限字长影响的离散时间模糊系统非脆弱H∞滤波器设计

研究了受加性增益变量影响的离散时间模糊系统的非脆弱上H∞滤波问题．该加性增益反映了滤波器实际执行过程中有限字长的影响．模糊性质的引入增加了滤波器设计的复杂性，使问题变得更具有挑战性．采用结构的顶点分离器方法解决该问题，从而提出了基于线性矩阵不等式的模糊非脆弱H∞滤波器设计的充分条件．该设计结果保证误差系统渐近稳定的同时具有指定的H∞性能指标．最后通过一个例子验证了所提出方法的有效性．

Non-fragile H_infinity Filter Design for Fuzzy Discrete-time Systems with FWL Consideration

This paper considers the problem of non-fragile  H∞ filtering for fuzzy discrete-time systems with the
consideration of the additive gain variations, which reflects the FWL effects in filter implementation. The introduction of the fuzzy property results in a more complex numerical computation problem. A notion of structured vertex separator is employed to approach the problem, and exploited to develop sufficient conditions for the non-fragile H∞ filter design in terms of solutions to a set of linear matrix inequalities(LMIs). The design renders the augmented system asymptotically stable and guarantees the H∞ attenuation level less than a prescribed level. A numerical example shows the effectivness of the proposed method.