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）

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）