The problem of relaxed state estimation of a class of discrete-time nonlinear plants is studied by developing an improved fuzzy partition-based switching observer. By introducing a pair of weighted scalars, the whole interval spanned by all the normalized fuzzy weighting functions at the present sampling instant is delimited as some non-overlapping sub-intervals. Then, an available fuzzy switching observer can be designed with all kinds of possible switching modes. Because much more information for each partition sub-interval could be considered in its activated switching mode, the obtained method can be less conservative than the existing methods reported in recent references. Finally, two illustrative simulations are given for testing the superiority of the proposed method over previous ones.

通过开发一种改进的基于模糊分区的切换观测器，研究了一类离散时间非线性植物的松弛状态估计问题。通过引入一对加权标量，将当前采样时刻所有归一化模糊加权函数所跨越的整个间隔定界为一些非重叠子间隔。然后，可用各种可能的切换模式来设计可用的模糊切换观察者。因为可以在其激活的切换模式下考虑每个分区子间隔的更多信息，所以所获得的方法可能不如最近参考文献中报道的现有方法保守。最后，给出了两个说明性的仿真，以测试所提出方法相对于先前方法的优越性。