研究目的
Investigating the fault detection problem of 2-D systems described by the Roesser model in the presence of disturbances.
研究成果
The paper concludes that the proposed fault detection ?lter effectively detects faults in 2-D Roesser systems by satisfying the ?nite-frequency H? and H∞ indices simultaneously. The numerical example demonstrates the method's effectiveness.
研究不足
The paper does not explicitly mention limitations, but the methodology's effectiveness is demonstrated through a numerical example, suggesting potential limitations in real-world application scalability and complexity.
1:Experimental Design and Method Selection:
The methodology involves designing a fault detection ?lter to satisfy a ?nite-frequency H? index and a ?nite-frequency H∞ index simultaneously using the generalized Kalman–Yakubovich–Popov lemma and linear matrix inequality techniques.
2:Sample Selection and Data Sources:
The study uses a 2-D discrete-time system described by the Roesser model with known constant matrices.
3:List of Experimental Equipment and Materials:
Not explicitly mentioned.
4:Experimental Procedures and Operational Workflow:
The process includes designing a fault detection ?lter, deriving convex ?lter design conditions, and proposing an algorithm for ?lter construction.
5:Data Analysis Methods:
The analysis involves performance indices γ1 and γ2 for fault sensitivity and disturbance attenuation, respectively.
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