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

Abstract

AbstractThis 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.