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式(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。

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.