Admissibility analysis of interval type-2 uncertain stochastic descriptor systems

This paper considers the admissibility of interval type-2 (IT2) uncertain Itô stochastic descriptor systems. Both membership functions and parametric matrices of considered nonlinear systems contain uncertain parameters. An IT2 fuzzy controller is designed such that the closed-loop descriptor systems is admissible. The membership functions of the controller and systems are unmatched. In the control systems, membership functions are represented by a partition method of footprint of uncertainty (FOU). Some conditions dependent on membership functions for the existence of IT2 fuzzy controller are obtained in the form of linear matrix inequality (LMI). In order to verify the effectiveness and feasibility of the proposed method, an IT2 fuzzy controller is designed for inverted pendulum system.