The performance of state estimation of discrete-time Takagi–Sugeno systems is enhanced by proposing a featured multiinstant united switch-type observer. The novelty of the proposed observer lies in both the definition and application of a set of switching modes. Since different time-variant free matrices can be for the first time introduced in accordance with each switching mode, both the current time and the past time normalized fuzzy weighting functions are together considered for designing the corresponding observer gain matrices with much less conservatism than those recent methods reported in the literature. Furthermore, there are only two tuning parameters which are both located in a limited candidate set and thus this fact does benefit for giving the optimal solution of our developed multiinstant united switch-type candidates. Finally, numerical comparisons are provided in order to verify the technical superiority of the results developed in this article.

中文翻译：

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通过多时刻联合开关型观测器增强离散时间非线性系统的模糊状态估计

离散时间 Takagi-Sugeno 系统的状态估计性能通过提出一个有特色的多瞬态联合开关型观察器得到增强。所提出的观测器的新颖性在于一组切换模式的定义和应用。由于可以根据每种切换模式首次引入不同的时变自由矩阵，因此同时考虑当前时间和过去时间归一化模糊加权函数来设计相应的观察者增益矩阵，其保守性远低于最近的观察者增益矩阵文献报道的方法。此外，只有两个调整参数都位于有限的候选集中，因此这一事实确实有助于为我们开发的多瞬时联合开关型候选提供最佳解决方案。最后，