中文摘要：

周期事件触发控制具有节约通信资源和易于实现的优点，作为一种新的控制方法，相关的分析和设计研究还不够成熟。基于输入到状态稳定（Iss）定理，研究了线性系统状态反馈周期事件触发控制的建模与分析问题；将线性状态反馈周期事件触发控制系统看作一个离散时间受扰系统，推导出了事件触发控制系统的ISS条件，给出了线性矩阵不等（LMI）形式，进一步给出了触发条件参数的确定方法。最后，采用Matlab仿真验证了方法的正确性和有效性。

英文摘要：

Periodic Event Triggered Control （PETC） is suited for applications where communication resources are scarce. As a new control strategy, the system theory in modeling and analysis of PETC is far from being mature. In this paper, Input-to-State Stability （ISS） theory is employed to analyze the linear state feedback periodic event triggered control systems. At first, the linear state feedback PETC system is considered as a discrete-time perturbed system, then the stability theorem of event triggered control system is deduced based on ISS theory of discrete-time perturbed systems, a Linear Matrix Inequality （LMI） form of the theorem is also given. At last, a method to determine event-triggering threshold is derived. Matlab simulation result verifies the correctness and effectiveness of our methods.