Abstract
This paper investigates the problem of mixed actuator failures for discrete-time interval type-2 (IT-2) fuzzy systems with time-varying delays and external disturbances. Applying the non-parallel compensation strategy, the IT-2 fuzzy controller is designed. Considering the nonlinear fault factors of actuator, the linear fault model is expanded, which is more general than the conventional mixed actuator failure model. The information of membership function is introduced by staircase function approximation. Based on Lyapunov stability theory and a series of matrix inequality scaling techniques, a membership function dependent stability criterion with H∞ performance is obtained. Then, the effectiveness of the proposed conclusion is verified by two simulation examples.
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