With the development of network technology, information can flow flexibly, and the research of interconnected systems are booming. The article proposes an H ∞ / H - fault detection observer design means for a networked interconnected system. First, convert a linear networked interconnection systems to linear network systems. Next, the H − index is accustomed to measuring the worst-case sensitivity to failure and H ∞ norm from ungiven inputs to residuals is accustomed to measure disturbance robustness performance, so that the residuals generated by the designed fault detection observer are sensitive to failures and robust to disturbance in finite-frequency domain. Besides, sufficient conditions of the observer design are derived and transformed by a set of LMIs. Lastly, numerical simulations are provided to demonstrate the correctness and effectiveness of the designed means.

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