This research focuses on the H_∞ stability analysis and fuzzy dynamic output feedback control for a class of interval type-2 T-S fuzzy systems. Interval type-2 T-S fuzzy model is employed to approximate the uncertain system with multiple time-varying delays and external disturbance. Interval type-2 T-S fuzzy dynamic output feedback controller is designed by employing the interval type-2 T-S fuzzy model. Some stability criterions in terms of linear matrix inequalities (LMIs) are presented by introducing the fuzzy Lyapunov function. The closed-loop system is described as a descriptor system by employing the descriptor redundancy approach. Some less conservative stability criterions un-including the product terms between system gains and controller gains are presented and the fuzzy-basis-dependent matrix with system gains transformation is introduced. The stability criterions are extended to a finite set of LMIs constraints. Finally, simulation examples and comparison figures are presented to show the effectiveness of the proposed approach.

该研究主要集中在H ^ _∞一类区间型2 TS模糊系统的稳定性分析和模糊动态输出反馈控制。采用区间2型TS模糊模型对具有多个时变时滞和外部干扰的不确定系统进行近似。采用区间2型TS模糊模型设计区间2型TS模糊动态输出反馈控制器。通过引入模糊Lyapunov函数，提出了一些关于线性矩阵不等式（LMI）的稳定性判据。通过使用描述符冗余方法将闭环系统描述为描述符系统。提出了一些不那么保守的稳定性判据，其中不包括系统增益和控制器增益之间的乘积项，并且引入了具有系统增益变换的模糊基相关矩阵。稳定性标准扩展到LMI约束的有限集合。最后，通过仿真实例和对比图说明了该方法的有效性。