We discuss the robust sampled-data dynamic output-feedback controller design problem for linear time-invariant (LTI) systems subject to parametric uncertainties and $$\mathcal {L}_{\infty }$$ disturbances. The descriptor redundancy-based methods are proposed, and their main features are: (i) sampled-data syntheses are performed in a continuous-time domain; (ii) discrete-time modeling of sampled-data systems, which is adversely affected by uncertainties in LTI plant dynamics, is not required; (iii) linear matrix inequality conditions are presented for asymptotic stability and $$\mathcal {L}_{\infty }$$ – $$l_{\infty }$$ disturbance attenuation.

中文翻译：

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鲁棒 $$\mathcal {L}_{\infty }$$–$$l_{\infty }$$ 通过描述符冗余对不确定线性时不变系统的采样数据动态输出反馈控制

我们讨论了受参数不确定性和 $$\mathcal {L}_{\infty }$$ 干扰的线性时不变 (LTI) 系统的稳健采样数据动态输出反馈控制器设计问题。提出了基于描述符冗余的方法，它们的主要特点是：（i）在连续时域中进行采样数据合成；(ii) 不需要对受 LTI 工厂动态不确定性不利影响的采样数据系统进行离散时间建模；(iii) 线性矩阵不等式条件用于渐近稳定性和 $$\mathcal {L}_{\infty }$$ – $$l_{\infty }$$ 干扰衰减。