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The paper addresses the problem of designing a robust fault detection filter (RFDF) for a class of nonlinear descriptor systems whose nonlinear term are globally Lipschitz and linear term described by a linear parameter varying (LPV) form. The influence of perturbations on the residuals is minimized using the H∞ norm while the sensitivity performance is guaranteed using the H∞ index. Based on the...
In this work, we consider an observer-based fault detection (FD) problem for linear time invariant systems at DC (ω = 0). A simple parameterization of all optimal solutions is derived such that the FD filter generates a residual signal which minimizes the sensitivity of the residual to disturbances while maintaining a minimum level of sensitivity to faults. Linear matrix inequality (LMI) techniques...
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