Abstract
This paper addresses the fault-tolerant control issue of static output feedback design for flexible air-breathing hypersonic vehicles. Firstly, a longitudinal dynamic model with process faults is established, which contains an ordinary differential equation (ODE) for rigid body, an Euler-Bernoulli beam equation for elastic modes, and a new boundary interconnection between them; Secondly, a novel fault-tolerant control scheme via static output feedback control strategy is proposed to accommodate process faults and suppress vibrations, which relies on the direct Lyapunov method and the bilinear matrix inequalities (BMIs) technique; Thirdly, in order to compute the gain matrices of the fault-tolerant control law, a two step algorithm is provided to solve the BMI feasibility problem in terms of linear matrix inequality (LMI) optimization technique. Finally, the simulation results are provided to illustrate the effectiveness of the theoretical results.
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