A new switching control for T‐S fuzzy systems with mixed time delays

Abstract

At present, the switching control methods based on time derivative of membership functions are not suitable for the T-S fuzzy systems with non-differentiable membership functions. In this paper, the switching control problem of T-S fuzzy systems subject to mixed delays with non-differentiable membership functions is studied. We use the difference between the real-time and the stable membership value of the T-S system as the basis for switching, and design two kinds of switching conditions. One is to combine the difference with the system matrices to adjust the description form of the system model. The other is to adjust the controller form by combining the difference value with the control gains. The proposed methods are also applicable to the case of the differentiable membership function. Compared with the switching condition using the derivative, the two proposed switching conditions both contain fewer unknown parameters and reduce the computational complexity. Three examples are given to illustrate the advancement and validity of the switching conditions.