Dynamic output-feedback control for positive Roesser system under the switched and T-S fuzzy rules

This paper is concerned with the dynamic output-feedback controller design for the positive Roesser type nonlinear system, which is intrinsically characterized by the switched mechanism and subtly decomposed into the linear form under the Takagi-Sugeno fuzzy rules. Firstly, based on the co-positive Lyapunov function and the average dwell time method, sufficient conditions are presented, under which the resulting closed-loop system is exponentially stable and has l1-gain bound γ. Then, explicit expressions are also given to derive the expected controller gain matrices with desired l1-gain bound. Finally, effectiveness of the proposed results is illustrated by two numerical examples.