Switched mechanisms for stability and l1-gain analysis of T-S fuzzy positive systems described by the F-M second model

In this paper, the Takagi-Sugeno fuzzy positive system is analyzed under the switched mechanisms, which is described by the discrete-time Fornasini-Marchesini Second model. By utilizing the co-positive Lyapunov function and the novel average dwell time method, sufficient conditions are derived under which the proposed system is positive, exponentially stable and has l1-gain bound. Furthermore, the criteria obtained are presented in the form of matrix inequalities which can be solved by the standard software. Finally, a numerical example is given to demonstrate the effectiveness of the approach outlined in the paper.