论文标题
验证噪声浪费的输入状态数据的消散性能
Verifying dissipativity properties from noise-corrupted input-state data
论文作者
论文摘要
存在大量文献，如何利用耗散性能来设计控制器，以确保闭合循环的稳定性和性能保证。随着数据的可用性升高，因此对从数据确定耗散性属性的兴趣越来越大，作为数据驱动的系统分析和以严格的保证控制的手段。但是，大多数现有的方法都考虑仅在有限范围内拥有的散发性属性，并且大多数仅在存在嘈杂数据的情况下才能做出定性陈述。在这项工作中，我们提出了一种新的方法，可以从数据中确定线性时间不变系统的耗散性，在该数据中，我们固有地考虑了在无限范围上持有的属性。此外，在嘈杂的状态测量的情况下，我们提供了严格的保证。
There exists a vast amount of literature how dissipativity properties can be exploited to design controllers for stability and performance guarantees for the closed loop. With the rising availability of data, there has therefore been an increasing interest in determining dissipativity properties from data as a means for data-driven systems analysis and control with rigorous guarantees. Most existing approaches, however, consider dissipativity properties that hold only over a finite horizon and mostly only qualitative statements can be made in the presence of noisy data. In this work, we present a novel approach to determine dissipativity of linear time-invariant systems from data where we inherently consider properties that hold over the infinite horizon. Furthermore, we provide rigorous guarantees in the case of noisy state measurements.
