论文标题

在零星测量的情况下,强大的输出反馈控制设计

Robust Output Feedback Control Design in the Presence of Sporadic Measurements

论文作者

Merco, Roberto, Ferrante, Francesco, Sanfelice, Ricardo G., Pisu, Pierluigi

论文摘要

在存在零星测量和外源扰动的情况下,线性时间流动系统的输出反馈控制设计已解决。为了应对输出测量值的零星可用性,设计了一个配备了一个固定设备的混合动态输出反馈控制器,该设备在设计新的测量时已重置状态。由控制器和工厂的互连产生的闭环系统通过计时器变量进行增强,该计时器变量触发了新测量的到来及其属性,并使用混合系统工具分析了其性能。基于Lyapunov理论的混合系统理论,提出了内部和L2输入稳定性的足够条件。提出了用于控制器收益和保存设备参数的共同设计的基于LMI的设计方法。在数值示例中展示了拟议的基于LMI的设计方法的有效性。

Output feedback control design for linear time-invariant systems in the presence of sporadic measurements and exogenous perturbations is addressed. To cope with the sporadic availability of measurements of the output, a hybrid dynamic output feedback controller equipped with a holding device whose state is reset when a new measurement is available is designed. The closed-loop system, resulting from the interconnection of the controller and the plant, is augmented with a timer variable triggering the arrival of new measurements and its properties are analyzed using hybrid system tools. Building upon Lyapunov theory for hybrid systems, sufficient conditions for internal and L2 input-to-output stability are proposed. An LMI-based design methodology for the co-design of the gains of the controller and the parameters of the holding device is presented. The effectiveness of the proposed LMI-based design approach is showcased in a numerical example.

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