Fuzzy output-feedback control for non-linear systems with input time-varying delay

This study investigates the problem of output-feedback H_∞ control for Takagi-Sugeno fuzzy systems with input time-varying delay. Firstly, a new type of dynamic output-feedback controller is constructed for fuzzy systems with input time-varying delay. Secondly, by using Lyapunov stability theory, a condition with H_∞ performance is developed. Based on the condition, a desired dynamic output-feedback H_∞ controller is designed to guarantee that the closed-loop system is asymptotically stable with H_∞ disturbance attenuation. The existence condition of the controller can be obtained in terms of linear matrix inequalities, which can be solved by the standard software. The difference between the results proposed in the study and other existing ones is that a new dynamic output-feedback controller can be designed for fuzzy systems with input delay. Finally, a numerical example is provided to show the effectiveness of the proposed results.