arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2202.08019eess.SYcs.SY
收藏

基于模型与数据驱动的Event-和Self-Triggered离散时间LTI系统控制

Model-Based and Data-Driven Control of Event- and Self-Triggered Discrete-Time LTI Systems

Xin Wang, Julian Berberich, Jian Sun, Gang Wang, Frank Allgöwer, Jie Chen

AI总结:

本文研究未知LTI离散时间系统在事件触发与自触发传输下的基于模型和数据驱动控制,提出动态ETS和STS方案,推导基于模型与数据驱动的LMI稳定性判据以协同设计ETS矩阵与控制器,并验证其减少数据传输的有效性。

摘要:

本文考虑在事件触发和自触发传输方案下,对未知线性时不变(LTI)离散时间系统进行基于模型和数据驱动的控制。为此,我们首先提出一种基于周期采样的动态事件触发方案(ETS),以及一种离散时间环状泛函方法,由此推导出基于模型的稳定性条件。将该基于模型的条件与最近的数据驱动系统表示相结合,建立以线性矩阵不等式(LMIs)形式呈现的数据驱动稳定性判据,这也提供了一种协同设计ETS矩阵和控制器的方法。为缓解ETS因连续/周期性检测而带来的采样负担,开发了一种自触发方案(STS)。利用预先采集的输入-状态数据,给出一种预测下一传输时刻的算法,同时实现系统稳定性。最后,数值仿真展示了ETS和STS在减少数据传输方面的有效性,以及所提协同设计方法的有效性。

英文摘要:

The present paper considers the model-based and data-driven control of unknown linear time-invariant discrete-time systems under event-triggering and self-triggering transmission schemes. To this end, we begin by presenting a dynamic event-triggering scheme (ETS) based on periodic sampling, and a discrete-time looped-functional approach, through which a model-based stability condition is derived. Combining the model-based condition with a recent data-based system representation, a data-driven stability criterion in the form of linear matrix inequalities (LMIs) is established, which also offers a way of co-designing the ETS matrix and the controller. To further alleviate the sampling burden of ETS due to its continuous/periodic detection, a self-triggering scheme (STS) is developed. Leveraging pre-collected input-state data, an algorithm for predicting the next transmission instant is given, while achieving system stability. Finally, numerical simulations showcase the efficacy of ETS and STS in reducing data transmissions as well as of the proposed co-design methods.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑