Robust multiple‐fault detection and isolation: A gradient flow approach

This paper presents a novel solution to the fault detection and isolation observer design problem for linear time‐invariant systems. A gradient flow approach is proposed for synthesizing a residual generator under optimal eigenstructure assignment. This is achieved by minimizing the spectral condition number of the observer eigenvector matrix. The properties of convergence of the gradient flow solution are proved and its efficiency demonstrated via a numerical example. Copyright © 2007 John Wiley & Sons, Ltd.