This paper revisits the problem of H_∞ filter design for singular systems with interval time-varying delays. Firstly, by state decomposition method (SDM), a novel Lyapunov–Krasovskii functional (LKF) including two augmented nonintegral terms is presented. Secondly, via the constructed LKF and the linear matrix inequality (LMI) technique, sufficient stability conditions with lower conservatism are achieved such that the considered singular system is admissible with specified H_∞ performance level. Thirdly, a state decomposition-recombination approach is first introduced to obtain a desired H_∞ filter in terms of matrix component transformation technology. Finally, the validity and superiority of the results obtained are verified via two numerical examples.

中文翻译：

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具有间隔时变时滞的奇异系统的时滞相关 H∞ 滤波的进一步结果

本文重新讨论了具有间隔时变延迟的奇异系统的H _∞滤波器设计问题。首先，通过状态分解方法（SDM），提出了一种包括两个增广非积分项的新型 Lyapunov-Krasovskii 泛函（LKF）。其次，通过构建的 LKF 和线性矩阵不等式 (LMI) 技术，以较低的保守性获得足够的稳定性条件，使得所考虑的奇异系统在指定的H _∞性能水平下是可接受的。第三，首先引入状态分解-重组方法以获得所需的H _∞在矩阵分量变换技术方面进行过滤。最后通过两个数值算例验证了所得结果的有效性和优越性。