This brief article is devoted to the design of a positive observer of the discrete-time switched positive Takagi–Sugeno (T–S) fuzzy systems (DSPFSs) under minimum or range dwell time constraints. The observer design for DSPFSs is considered both with the measurable premise variable and with the unmeasurable premise variable. First, convex sufficient conditions on the existence of observers for DSPLSs with the measurable premise variable are presented. Then, based on the above results, convex sufficient conditions on the existence of ${\ell }_1$ positive observer for DSPFSs with the unmeasurable premise variable are derived. These conditions are presented in terms of linear programming. At last, some numerical examples of DSPFSs are given for illustration.

这篇简短的文章致力于在最小或范围停留时间约束下，设计离散时间切换的正高木-杉野（TS-S）模糊系统（DSPFS）的正观测器。考虑到DSPFS的观察者设计同时具有可测量的前提变量和不可测量的前提变量。首先，提出了具有可测前提变量的DSPLSs观测器存在的凸充分条件。然后，基于以上结果，凸出的充分条件是存在${\ell }_{\mathrm{1个}}$推导了具有不可测前提变量的DSPFS的正观测器。这些条件以线性编程的形式表示。最后，给出了一些DSPFS的数值示例。