Non-fragile switching tracking control for a flexible air-breathing hypersonic vehicle based on polytopic LPV model

作者：Huang Yiqing; Sun Changyin^*; Qian Chengshan; Wang Li

来源：Chinese Journal of Aeronautics, 2013, 26(4): 948-959.

DOI：10.1016/j.cja.2013.04.036

• Hypersonic vehicles
• Linear parameter varying
• Non-fragile control
• Switching control
• Tracking control

This article proposes a linear parameter varying (LPV) switching tracking control scheme for a flexible air-breathing hypersonic vehicle (FAHV). First, a polytopic LPV model is constructed to represent the complex nonlinear longitudinal model of the FAHV by using Jacobian linearization and tensor-product (T-P) model transformation approach. Second, for less conservative controller design purpose, the flight envelope is divided into four sub-regions and a non-fragile LPV controller is designed for each parameter sub-region. These non-fragile LPV controllers are then switched in order to guarantee the closed-loop FAHV system to be asymptotically stable and satisfy a specified performance criterion. The desired non-fragile LPV switching controller is found by solving a convex constraint problem which can be efficiently solved using available linear matrix inequality (LMI) techniques, and robust stability analysis of the closed-loop FAHV system is verified based on multiple Lypapunov functions (MLFs). Finally, numerical simulations have demonstrated the effectiveness of the proposed approach.

• 出版日期2013-8
• 单位东南大学; 南京信息工程大学; 安徽工程大学