Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  focuses on the fault detection problem of 2-D systems described by the Roesser model. To detect faults effectively in the presence of disturbances, a fault detection filter is designed to satisfy a finite-frequency    $H_{-}$    index and a finite-frequency    $H_\infty $    index simultaneously. The corresponding finite-frequency performance analysis conditions are obtained by the aid of the generalized Kalman–Yakubovich–Popov lemma. Then, convex filter design conditions are derived by constructing a hyperplane tangent combined with linear matrix inequality techniques. An algorithm is proposed to construct a desired fault detection filter. Finally, a numerical example is given to show the effectiveness of the proposed method.
['Da-Wei Ding', 'Xiao-Jian Li', 'Yingying Ren', 'Fang Qiu']
I am writing a research paper on a idea Finite-Frequency Fault Detection for Two-Dimensional Roesser Systems
[{"from": "human", "value": "I am writing a research paper on a idea Finite-Frequency Fault Detection for Two-Dimensional Roesser Systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  focuses on the fault detection problem of 2-D systems described by the Roesser model. To detect faults effectively in the presence of disturbances, a fault detection filter is designed to satisfy a finite-frequency    $H_{-}$    index and a finite-frequency    $H_\\infty $    index simultaneously. The corresponding finite-frequency performance analysis conditions are obtained by the aid of the generalized Kalman\u2013Yakubovich\u2013Popov lemma. Then, convex filter design conditions are derived by constructing a hyperplane tangent combined with linear matrix inequality techniques. An algorithm is proposed to construct a desired fault detection filter. Finally, a numerical example is given to show the effectiveness of the proposed method."}]