Robust Stabilization of Nonlinear Fractional Order Interconnected Systems Based on T-S Fuzzy Model

Abstract EN

This paper concerns robust stabilization of nonlinear fractional order interconnected systems.

Based on uncertain fractional order Takagi–Sugeno fuzzy model and the fractional order extension of lyapunov direct method, a parallel distributed compensate controller is designed to asymptotically stabilize the fractional order interconnected systems.

Then, a sufficient condition is given in the format of linear matrix inequalities.

Simulation example is given to validate the effectiveness of the approach.