L2-gain analysis and design for switched positive systems with exogenous disturbance and actuator saturation

In this paper, the problem of L
2
-gain analysis and design for switched positive systems with exogenous disturbance and actuator saturation is investigated. Sufficient conditions are proposed to guarantee that the closed-loop system is positive, exponentially stable(ES) and satisfies the prescribed L
2
-gain condition, and the corresponding state feedback controllers are presented. Furthermore, an algorithm is given to ensure the gain matrices of controller could be computed by LMIs toolbox of Matlab. Finally, we demonstrate the validity and feasibility of proposed methods by a numerical simulation.