L1-Gain Analysis and Control for Switched Positive Systems with Dwell Time Constraint

This paper studies the problems of L1-gain analysis and control for switched positive systems with dwell time constraint. The state-dependent switching satisfies a minimal dwell time constraint to avoid possible arbitrary fast switching. By constructing multiple linear co-positive Lyapunov functions, sufficient conditions of stability and L1-gain property are derived under the proposed switching strategy. Then, an effective state feedback controller is designed to ensure the positivity and L1-gain property of the closed-loop system. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.