Stability of output-feedback DPDC-based fuzzy synchronization of chaotic systems via LMI

In this paper, a new method for the stabilization of dynamic output-feedback synchronization of chaotic systems is proposed using T–S fuzzy models of the drive and response systems. The proposed design minimizes the L2 gain of the fuzzy control system with respect to a bounded disturbance that is a function of the drive system states. The design is based on the concept of dynamic parallel distributed compensation (DPDC). The resulting stability conditions are converted into a set of linear matrix inequalities (LMIs), which can be solved to obtain the fuzzy controller parameters. The effectiveness of the proposed synchronization method is demonstrated in an example.