A Novel Event-Triggered Transmission Scheme and ${\cal L}_{2}$ Control Co-Design for Sampled-Data Control Systems
A Novel Event-Triggered Transmission Scheme and ${\cal L}_{2}$ Control Co-Design for Sampled-Data Control Systems
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DOI：
10.1109/tac.2013.2256015
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发表时间：
2013-03
影响因子：
6.8
通讯作者：
Chen Peng;Q. Han
中科院分区：
文献类型：
--
作者：
Chen Peng;Q. Han
本文讨论了采样控制系统的事件触发L2控制。首先提出了一种新的事件触发传输方案，以确定是否应该发送采样数据。在该方案下，采样数据传输应仅在超过阈值时执行，这意味着传输较少的采样数据。该方案不需要任何专用硬件进行连续测量。然后，采样控制系统建模为采样数据误差相关系统。通过构造一个新的Lyapunov-Krasovskii泛函，充分利用了人工时滞的非线性结构特性，得到了一个稳定性判据。基于此稳定性判据，给出了状态反馈控制器存在的充分条件。提出了一种协同设计算法，可同时获得事件触发传输方案的参数和控制器增益。最后，通过倒立摆实例验证了事件触发传输方案和协同设计算法的有效性。
This note is concerned with the event-triggered L2 control for a sampled-data control system. A novel event-triggered transmission scheme is first proposed to determine whether or not the sampled-data should be transmitted. Under this scheme, the sampled-data transmission should be executed only when a threshold is violated, which means that less sampled-data is transmitted. This scheme does not require any special hardware for continuous measurement. Then, the sampled-data control system is modeled as a sampled-data error dependent system. A stability criterion is derived by constructing a novel Lyapunov-Krasovskii functional which fully utilizes the sawtooth structure characteristic of an artificial delay. Based on this stability criterion, a sufficient condition on the existence of a state feedback controller is given. A co-design algorithm is provided to obtain the parameters of the event-triggered transmission scheme and the controller gain simultaneously. Finally, an inverted pendulum example is given to show the effectiveness of the event-triggered transmission scheme and the co-design algorithm.