On modeling and control of a flexible air-breathing hypersonic vehicle based on LPV method

This article develops a polytopic linear parameter varying (LPV) model and presents a non-fragile H ₂ gain-scheduled control for a flexible air-breathing hypersonic vehicle (FAHV). First, the polytopic LPV model of the FAHV can be obtained by using Jacobian linearization and tensor-product (TP) model transformation approach, simulation verification illustrates that the polytopic LPV model captures the local nonlinearities of the original nonlinear system. Second, based on the developed polytopic LPV model, a non-fragile gainscheduled control method is proposed in order to reduce the fragility encountered in controller implementation, a convex optimisation problem with linear matrix inequalities (LMIs) constraints is formulated for designing a velocity and altitude tracking controller, which guarantees H ₂ control performance index. Finally, numerical simulations have demonstrated the effectiveness of the proposed approach.