The finite-time admissibility analysis and controller design issues for extended T-S fuzzy stochastic singular systems (FSSSs) with distinct differential term matrices and Brownian parameter perturbations are discussed. When differential term matrices are allowed to be distinct in fuzzy rules, such fuzzy models can describe a wide class of nonlinear stochastic systems. Using fuzzy Lyapunov function (FLF), a new and relaxed sufficient condition is proposed via strict linear matrix inequalities (LMIs). Different from the existing stability conditions by FLF, the derivative bounds of fuzzy membership functions are not required in this condition. Based on admissibility analysis results, a design method for parallel distribution compensation (PDC) controller of FSSSs is given to guarantee the finite-time admissibility of the closed-loop system. Finally, the feasibility and effectiveness of the proposed methods in this article are illustrated with three examples.

中文翻译：

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具有不同微分项矩阵的 TS 模糊随机奇异系统的有限时间容许度和控制器设计

讨论了具有不同微分项矩阵和布朗参数扰动的扩展 TS 模糊随机奇异系统 (FSSS) 的有限时间容许性分析和控制器设计问题。当模糊规则中允许微分项矩阵不同时，这种模糊模型可以描述一大类非线性随机系统。使用模糊李雅普诺夫函数 (FLF)，通过严格线性矩阵不等式 (LMI) 提出了一个新的、宽松的充分条件。与 FLF 现有的稳定条件不同，该条件不需要模糊隶属函数的导数界。基于容许度分析结果，给出了一种FSSS并行分布补偿(PDC)控制器的设计方法，以保证闭环系统的有限时间容许度。最后，