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.
positive linear systemsevent-triggered mechanismactuator saturationstabilizationco-positive Lyapunov functionZeno behavior
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