l1-gain Analysis and Control for Discrete-time Switched Positive Systems with Dwell Time Constraint

This paper copes with the problems of l
₁
-gain analysis and control for switched positive systems with a dwell time constraint. State-dependent switching adopted in this paper satisfies minimal dwell time constraint to avoid possible arbitrarily fast switching. By constructing multiple linear co-positive Lyapunov functions, sufficient conditions of stability and l
₁
-gain property are developed under the proposed switching strategy. Then, an effective state feedback controller is designed to ensure that the closed-loop system is positive and has l
₁
-gain property. Finally, a simulation example is given to illustrate the effectiveness and potential of the proposed method.