论文标题
数据驱动的稳健控制，用于离散线性时间不变系统：描述符系统方法
Data-Driven Robust Control for Discrete Linear Time-Invariant Systems: A Descriptor System Approach
论文作者
论文摘要
鉴于最近对数据驱动控制的兴趣激增，本文提出了一种两步方法，用于研究受到能量结合的噪声影响的不知名的线性时间不变（LTI）系统的强大数据驱动控制。首先，设计了两个数据实验并收集了相应的数据，然后将研究的系统等效地写入具有结构性参数不确定性的基于数据的描述符系统中。其次，结合了描述符系统的基于模型的控制理论，状态反馈控制器是为基于数据的描述符系统而设计的，该系统稳定了原始的LTI系统并保证$ {H_ \ infty} $ performance。最后，提供了一个模拟示例来说明我们方法的有效性和优点。
Given the recent surge of interest in data-driven control, this paper proposes a two-step method to study robust data-driven control for a parameter-unknown linear time-invariant (LTI) system that is affected by energy-bounded noises. First, two data experiments are designed and corresponding data are collected, then the investigated system is equivalently written into a data-based descriptor system with structured parametric uncertainties. Second, combined with model-based control theory for descriptor systems, state feedback controllers are designed for such data-based descriptor system, which stabilize the original LTI system and guarantee the ${H_\infty}$ performance. Finally, a simulation example is provided to illustrate the effectiveness and merits of our method.
