Abstract
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.