This paper proposes an $$H_{-}/H_{\infty }$$ H - / H ∞ fault detection observer method for a class of spatially interconnected time-delay systems (SITSs) with interconnected chains in finite frequency domain. As one of the main contribution, a delay-dependent generalized Kalman–Yakubivich–Popov (GKYP) lemma for SITSs with interconnected chains is proposed. Based on the giving GKYP lemma, sufficient conditions for the existence of the observers to guarantee the fault sensitivity and disturbance robustness in finite frequency domain are presented. Finally, an example is provided to demonstrate the effectiveness of the proposed method.

中文翻译：

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具有互连链的空间互连时滞系统的分布式有限频率故障检测观测器设计

本文提出了一种$$H_{-}/H_{\infty }$$ H - / H ∞ 故障检测观测器方法，用于有限频域中具有互连链的一类空间互连时延系统（SITS）。作为主要贡献之一，提出了具有互连链的 SITS 的延迟相关广义 Kalman-Yakubivich-Popov (GKYP) 引理。基于给定的GKYP引理，给出了观测器存在的充分条件，以保证有限频域中的故障灵敏度和干扰鲁棒性。最后，提供了一个例子来证明所提出方法的有效性。