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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.
The problem of non-fragile H_∞ filtering of discrete-time fuzzy systems affected by additive gain variables is investigated, which shows the influence of finite word length in the actual implementation of the filter. The introduction of fuzzy properties increases the complexity of the filter design Which makes the problem more challenging.The sufficient condition of the design of fuzzy non-fragile H_∞ filter based on linear matrix inequality (LMI) is proposed by using the structural vertex splitter method.The design results ensure that the error system is asymptotic It is also stable and has the specified H_∞ performance index.At last, an example is given to verify the effectiveness of the proposed method.