For a hypersonic vehicle with wide flight envelopes and fast time-varying processes, a set of linear time varying (LTV) polytopic models is employed to describe the nonlinear longitudinal model of a hypersonic vehicle. For each LTV polytopic model, a local dual mode predictive controller is offline designed to obtain the stable region and explicitly handle the state and control constraints. Then the stability of the scheduled controller is guaranteed by designing the switching strategy in the set of local dual mode predictive controllers. Simulation results show that the proposed control strategy not only obtains faster tracking of velocity and altitude commands in a relatively large range without the violation of the state and control constraints, but also reduces the online computation.