Event-triggered control for positive linear systems with actuator saturation

Although the event-triggered control strategy is remarkably effective in enhancing communication efficiency, in practical applications, it may lead to a decrease in system stability due to the reduction in trigger frequency. To address this issue, this paper proposes a novel event-triggered control strategy that achieves a balance between communication efficiency and system stability for actuator-saturated positive linear systems. Firstly, a linear weighted event-triggered mechanism is introduced by incorporating a weighting factor, and an event-triggered state feedback saturated controller is designed based on this mechanism and convex hull technology. Secondly, using the linear copositive Lyapunov function method, sufficient conditions for the positivity and stability of the closed-loop system under the event-triggered mechanism are established for both general and maximum domain of attraction estimates. These conditions can be reduced to those under the time-triggered mechanism, thus achieving a balance between communication efficiency and system performance. Furthermore, a strictly positive lower bound for the event interval is given to avoid Zeno behavior, which refers to infinite triggers within a finite time. Finally, a simulation example is presented to verify the effectiveness and superiority of the proposed event-triggered control strategy. © 2024 South China University of Technology. All rights reserved.