基于事件触发的切换正系统稳定性分析

Stability Analysis of Switched Positive Systems Based on Event-Triggered Mechanism

针对一类包含稳定及不稳定子系统的切换正系统,提出了一种基于事件触发的状态依赖切换机制,研究其稳定性问题。首先,设计了综合事件触发与驻留时间的切换信号。然后,利用多李雅普诺夫函数分析方法,给出了系统全局渐近稳定的充分条件。与传统的基于时间和状态的切换方法相比,事件触发机制的引入可以明显减少切换次数和资源的浪费,同时事件间隔参数的设计可以避免芝诺现象。最后,采用数值仿真实例验证上述切换方法的可行性和有效性。

A state dependent switching mechanism based on event triggering is proposed in the paper for a class of switching positive systems with stable and unstable subsystems.Firstly,a switching signal that combines eventtriggered scheme and dwell time method was designed.Then,the sufficient conditions for the global asymptotic stabil⁃ity of the system were obtained by using the multiple Lyapunov function analysis method.Compared with traditional time-basedand state-based switching methods,the introduction of event-triggered mechanism can obviously reduce switching frequency and the waste of resources.Moreover,the design of event-triggered interval parametercan avoided the Zeno behavior.Finally,a numerical simulation example was used to verify the feasibility and effectiveness of the proposed switching method.