Polytopic LPV Model-Based Control Design for Hypersonic Vehicle in the Morphing Phase

Abstract

In this paper, considering the phenomenon of unsteady attitude control for the hypersonic morphing vehicle (HMV) with model parameters uncertainties and unknown disturbance in the morphing phase, a polytopic linear parameter varying (PLPV) model-based control scheme is proposed to solve the problem of three-axes attitude stabilization and anti-interference of HMV with different changing of negative-dihedral on wingtip winglets. In virtue of the tensor-product (TP) model transformation approach, which based on high order singular value decomposition (HOSVD), the PLPV model whose scheduling variables are negative-dihedral and its rate is established. The attitude control design is converted into a convex optimization problem with Lyapunov stability theory and linear matrix inequalities (LMI) constraints under the frame of parallel distributed compensation (PDC) which greatly simplifies the design steps. The simulation results show the effectiveness of the proposed controller under initial disturbance and various dynamic changing conditions of negative-dihedral finally.