An adaptive weighted memory event‐triggered scheme for switched positive systems

Abstract This paper proposes an innovative adaptive weighted memory event‐triggered scheme (AW‐METS) based on 1‐norm for switched positive systems. In contrast to the previous memory event‐triggered schemes, the static weighted parameter is replaced with an adaptive weighted function. This modification allows the weighted parameter to dynamically adjust according to the system state. As the system state approaches its peak, the number of triggers increases, facilitating rapid stabilization of the system. Conversely, as the system approaches the steady state, the number of triggers decreases, resulting in significant savings in system resources. Additionally, the state feedback controller and output feedback controller are separately designed. By utilizing the matrix decomposition technique, the controller gain matrix can be decomposed into positive and negative components, which can be obtained through linear programming. Finally, a practical example of a circuit system is presented to validate the effectiveness of the proposed scheme.