ℋ−/ℋ∞ robust fault detection observer for uncertain switched systems

This paper addresses a method for robust fault detection (RFD) by maximizing the fault to residual sensitivity. It uses the newly developed ℋ_- index properties and minimizing the well known ℋ_∞ norm for worst case uncertainties and disturbance attenuation. These objectives are coupled to a transient response specification expressed by eigen region assignment formulation. The 3-objective robust fault detection problem is formulated as LMI feasibility problem in which a cost function is minimized subject to LMI constraints.