The structured singular value (${mu}$) analysis based method has many advantages for the robust stability analysis of missiles with uncertain parameters. Nevertheless, the present linear fractional transformation (LFT) modeling process, which is the basis of ${mu}$ analysis, is complex, and not suitable for automatic implementation; on the other hand, ${mu}$ analysis requires a large amount of computation, which is a burden for large-scale application. A constructive procedure, which is computationally more efficient, and which may lead to a lower order realization than existing algorithms, is proposed for LFT modeling. To reduce the calculation burden, an analysis method is developed, based on skew ${mu}$. On this basis, calculation of the supremum of ${mu}$ over a fixed frequency range converts into a single skew ${mu}$ value calculation. Two algorithms are given, to calculate the upper and lower bounds of skew ${mu}$, respectively. The validity of the proposed method is verified through robust stability analysis of a missile with real uncertain parameters.