Abstract
This paper deals with the problem of modeling and control for the longitudinal motion of an air-breathing hypersonic vehicle (AHV). For a highly nonlinear, dynamically-coupled simulation model of an AHV, the corresponding linearized model is first formulated for the problem of control design. Then, by using a Lyapunov approach, the existence condition for the desired controller is presented for guaranteed cost control with poles assignment in terms of linear matrix inequalities (LMIs). A convex optimization problem with LMI constraints is formulated to design the desired controller which guarantees a prescribed performance cost for the closed-loop system with the simultaneous consideration of poles assignment. Finally, an illustrative example is provided to show the effectiveness of the proposed controller design method.