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A new parametric approach for robust fault detection in matrix second-order linear (MSOL) systems with unknown disturbances is directly proposed in matrix second-order framework. The residual is generated through utilizing a Luenberger function observer of MSOL systems. Based on a recently proposed eigenstructure assignment approach for MSOL systems, parameterizations of the coefficient matrices of the Luenberger function observer are presented. By combining the parameterizations of the observer eigenvector matrix and an established condition for disturbance decoupling in MSOL systems, the effect of the disturbance to the residual signal is decoupled. A simple algorithm is presented. An example shows the effect of the proposed approach.