The manuscript focuses on the interval type-2 (IT2) fuzzy sampled-data H_∞ control problem for nonlinear systems with parameter uncertainties and random communication. Nonlinear systems are constructed as Takagi–Sugeno (T–S) fuzzy form, and the parameter uncertainties are represented by employing the membership functions. A reliable controller is designed, based on which the fuzzy closed-loop system is stable and the H_∞index is satisfied. In the analysis, the free-weighting matrices and the slack ones are introduced, and the mathematical expectation and the linear matrix inequalities (LMIs) are used. Furthermore, by taking the inverted pendulum system as an example, the superiority and applicability of the control strategy are demonstrated.

原稿集中在间隔2型（IT2）模糊采样数据ħ _∞控制用于与参数不确定性和随机通信的非线性系统的问题。非线性系统构造为Takagi–Sugeno（TS）模糊形式，并且通过使用隶属函数表示参数不确定性。一个可靠的控制器被设计，在此基础上的模糊闭环系统是稳定的和ħ _∞索引被满足。在分析中，引入了自由加权矩阵和松弛加权矩阵，并使用了数学期望和线性矩阵不等式（LMI）。此外，以倒立摆系统为例，说明了该控制策略的优越性和适用性。