Interval Type-2 Fuzzy Sampled-Data H∞ Control Under Stochastic Communication.

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. [ABSTRACT FROM AUTHOR]