具有执行器饱和的正线性系统的事件触发控制  

Event-triggered control for positive linear systems with actuator saturation

作　　者：杨庚佼 郝飞[2] 张霖[2] YANG Geng-jiao;HAO Fei;ZHANG Lin(College of Mathematics and Physics,Wenzhou University,Wenzhou Zhejiang 325035,China;School of Automation Science and Electrical Engineering,Beihang University,Beihang University,Beijing 100191,China)

机构地区：[1]温州大学数理学院,浙江温州325035 [2]北京航空航天大学自动化科学与电气工程学院,北京100191

出　　处：《控制理论与应用》2024年第7期1304-1312,共9页Control Theory & Applications

摘　　要：尽管事件触发控制策略在提升通信效率方面效果显著,但在实际运用过程中,可能会因为触发次数的减少而导致系统稳定性下降.针对这一问题,本文提出了一种新的事件触发控制策略,实现了执行器饱和正线性系统在通信效率和系统稳定性之间的平衡.首先,引入权重因子构建了一种线性加权事件触发机制,并基于该机制和凸包技术设计了事件触发状态反馈饱和控制器;其次,利用线性余正Lyapunov函数方法,在事件触发机制下分别建立了一般吸引域估计和最大吸引域估计下闭环系统正性和稳定性的充分条件.这些条件可以退化为时间触发机制下的条件,从而实现通信效率和系统性能之间的平衡;再次,给出了事件间隔时间的严格正下界,从而避免了Zeno行为,即系统在有限时间内进行无限次触发;最后,通过一个仿真例子验证了所提出的事件触发控制策略的有效性和优越性.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.

关 键 词：正线性系统 事件触发机制 执行器饱和 镇定 余正Lyapunov函数 Zeno行为 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]