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arXiv 2208.04593eess.SYcs.SY
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观测值不稳定时的鲁棒输出反馈控制设计

Robust Output Feedback Control Design in the Presence of Sporadic Measurements

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

摘要:

研究了线性时不变系统在存在零星测量和外部扰动时的输出反馈控制设计问题。为了应付零星的可用性的测量输出,一个混合动力输出反馈控制器配备了一个保持装置,其状态重置时,一个新的测量是可用的设计。的闭环系统,从控制器和工厂的互连产生的,增加了一个定时器变量触发新的测量和它的属性的到来进行了分析,使用混杂系统工具。基于混杂系统的李雅普诺夫理论,给出了系统内部稳定和L2输入输出稳定的充分条件。提出了一种基于线性矩阵不等式的控制器增益和保持装置参数的协同设计方法。数值算例表明了所提出的基于LMI的设计方法的有效性。

英文摘要:

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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