A robust disturbance-rejection problem for an uncertain singular system is considered in this paper. An equivalent-input-disturbance (EID) method is applied to improve disturbance-rejection performance. At first, the disturbance estimation is obtained by the EID method; Then, the disturbance estimation is compensation to the control input channel to offset the adverse effect of external disturbance and uncertainties on the system. Two sufficient and necessary conditions using linear matrix inequality are obtained, which can guarantee the admissibility (regularity, non-impulsiveness, and stability) for the closed-loop control system. In addition, output-feedback control laws (static, dynamic) and observer gain are obtained using the singular value decomposition method. A numerical example and simulation studies prove the validity and feasibility of the presented method.

中文翻译：

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基于输出反馈控制的等效输入扰动方法在不确定奇异系统中的鲁棒扰动抑制

本文考虑了不确定奇异系统的鲁棒抗扰问题。应用等效输入干扰 (EID) 方法来提高干扰抑制性能。首先通过EID方法得到扰动估计；然后，扰动估计是对控制输入通道的补偿，以抵消外部扰动和不确定性对系统的不利影响。利用线性矩阵不等式得到两个充要条件，可以保证闭环控制系统的可容许性（正则性、非脉冲性和稳定性）。此外，使用奇异值分解方法获得输出反馈控制律（静态、动态）和观测器增益。