Imperfect premise matching controller design for T-S fuzzy systems under network environments

A general diagram is proposed to deal with unmatch premises of T-S fuzzy systems under network environments.A less conservative stability criterion is obtained by use of the Wirtinger-based inequality technique to deal with the cross items in the derivation of the main results.A novel imperfect premise matching design method is utilized to enhance the design flexibility for the T-S fuzzy systems under network environments. This paper focuses on an imperfect premise matching controller design for T-S fuzzy systems under network environments. Different with the traditional parallel distribution compensation (PDC) method, the same premises between the PDC controller and the T-S fuzzy systems are no longer needed again in the proposed method. Under consideration of the unmatched grades of membership in the networked T-S fuzzy systems, a unified T-S fuzzy model is firstly proposed, in which a networked state-feedback fuzzy controller with communication delays is used to reconstruct the system. Then, based on the constructed model and by use of the Wirtinger-based inequality technique to deal with the cross items, two less conservative stability and stabilization criteria are derived to enhance the design flexibility. Finally, two numerical examples are used to show the effectiveness of proposed method.