Fuzzy control design of nonlinear systems under unreliable communication links: A systematic homogenous polynomial approach

In this study, we propose a systematic homogenous polynomial approach for fuzzy control design of discrete-time Takagi-Sugeno fuzzy systems under unreliable communication links. A novel delayed fuzzy control scheme, which is homogenous polynomially parameter-dependent on both the current normalized fuzzy weighting function and the one-step-past normalized fuzzy weighting function, is designed to accomplish the assignment of relaxed control synthesis. In contrast to the existing methods, the closed-loop controlled system is stochastically stable in the mean square sense with less conservative stabilization conditions. Finally, simulation results are provided to verify the advantage and the effectiveness of the proposed approach.