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.
出处
《电光与控制》
北大核心
2016年第11期23-26,102,共5页
Electronics Optics & Control
基金
国家自然科学青年基金(61304001
61304239)
关键词
周期事件
触发控制
状态反馈
输入到状态稳定
线性矩阵不等式
periodic event
triggered control
state feedback
input-to-state stability
linear matrix inequality