Given a single measured trajectory of a discrete-time linear time-invariant system, we present a framework for data-driven controller design for closed-loop finite-horizon dissipativity. First, we parametrize all closed-loop trajectories using the given data of the plant and a model of the controller. We then provide an approach to validate the controller by verifying closed-loop dissipativity in the standard feedback loop based on this parametrization. The developed conditions allow us to state the corresponding controller synthesis problem as a quadratic matrix inequality feasibility problem. Hence, we obtain purely data-driven synthesis conditions leading to a desired closed-loop dissipativity property. Finally, the results are illustrated with a simulation example.

中文翻译：

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有限视散度的数据驱动控制器设计

给定离散时间线性时不变系统的单个测量轨迹，我们为闭环有限水平耗散性提供了数据驱动控制器设计的框架。首先，我们使用给定的工厂数据和控制器模型对所有闭环轨迹进行参数化。然后，我们提供了一种方法，可基于此参数化通过验证标准反馈回路中的闭环耗散性来验证控制器。发达的条件使我们可以将相应的控制器综合问题陈述为二次矩阵不等式的可行性问题。因此，我们获得了纯数据驱动的合成条件，从而导致了所需的闭环耗散特性。最后，通过仿真示例说明了结果。