Abstract: With the development of sensors and network technology, wireless sensor networks are widely used in various scenes. However, in most applications, the energy of the sensor nodes can not be supplemented.?In addition, since the lifetime of the electronic switching element is measured by the number of trigger times, it makes the effective use of energy, extending the working life of the network become one of the key factors to be considered. ?This paper discusses an event-driven control mechanism for stochastic systems. The mechanism determines when the controller sends control data in order to balance system performance and drive frequency. In this paper, the control strategy is deduced by a class of quadratic performance index function. Then, the formula of performance index is designed based on state feedback and output feedback, and the upper bound of performance index is deduced and the conditions in the theorem can be constructed by solving a set of Linear Matrix Inequalities（LMIs）, which can be easily tested with LMI algorithms. Finally, a numerical example is given to illustrate the results.

Key words: wireless sensor networks, event driven, state feedback, output feedback, Linear Matrix Inequality（LMI）

摘要： 随着传感器和网络技术的发展，无线传感器网络广泛应用于各种场景，然而在多数应用中，传感器节点的能量无法得到补充。另外由于电子开关元件的使用寿命多以触发次数为量度，这使得如何有效利用能源、延长网络的工作寿命成为需要考虑的关键因素之一。讨论随机系统的一种事件驱动控制机制，设计控制策略决定控制器何时发送控制数据，平衡系统性能和驱动频率。通过一类二次性能指标函数推导出这种控制策略，分别就状态反馈和输出反馈设计出性能指标计算公式，推理出性能指标上界，并将定理中的条件转化为可以使用线性矩阵不等式工具箱求解的LMI。通过理论分析和实验，验证了控制策略的可行性和有效性。

关键词: 无线传感器网络, 事件驱动, 状态反馈, 输出反馈, 线性矩阵不等式（LMI）