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A robust deconvolution scheme for fault detection and isolation of uncertain linear systems: an LMI approach. (English) Zbl 1086.93014
Summary: Optimal $\Cal H_{\infty}$ deconvolution filter theory is exploited for the design of robust fault detection and isolation (FDI) units for uncertain polytopic linear systems. Such a filter is synthesized under frequency domain conditions which ensure guaranteed levels of disturbance attenuation, residual decoupling and deconvolution performance in prescribed frequency ranges. By means of the Projection Lemma, a quasi-convex formulation of the problem is obtained via LMIs. A FDI logic based on adaptive thresholds is also proposed for reducing the generation of false alarms. The effectiveness of the design technique is illustrated via a numerical example.

MSC:
93B36$H^\infty$-control
93C05Linear control systems
93E10Estimation and detection in stochastic control
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References:
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