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This paper focuses on synthesizing a mixed robust H2/H„ linear parameter varying (LPV) controller for the longitudinal motion of an air-breathing hypersonic vehicle via a high order singular value decomposition (HOSVD) approach. The design of hypersonic flight control systems is highly challenging due to the enormous complexity of the vehicle dynamics and the presence of significant uncertainties. Motivated by recent results on both LPV control and tensor-product (TP) model transformation approach, the velocity and altitude tracking control problems for the air-breathing hypersonic vehicle is reduced to that of a state feedback stabilizing controller design for a polytopic LPV system with guaranteed performances. The controller implementation is converted into a convex optimization problem with parameterdependent linear matrix inequalities (LMIs) constraints, which is intuitively tractable using LMI control toolbox. Finally, numerical simulation results demonstrate the effectiveness of the proposed approach. [ABSTRACT FROM AUTHOR]