Resilient control of flexible hypersonic vehicles against unmatched distributed faults

Abstract

This paper studies a robust fault compensation and vibration suppression problem of flexible hypersonic vehicles. The controlled plant is represented by a cascade system composed of a nonlinear Ordinary Differential Equation (ODE) and an Euler-Bernoulli Beam Equation (EBBE), in which the vibration dynamics is coupled with the rigid dynamics and suffers from distributed faults. A state differential transformation is introduced to transfer distributed faults to an EBBE boundary and a longitudinal dynamics is refined by utilizing T-S fuzzy IF-THEN rules. A novel T-S fuzzy based fault-tolerant control algorithm is developed and related stability conditions are established. The robust exponential stability and well-posedness are proved by using the modified C0-semigroup based Lyapunov direct approach. A simulation study on the longitudinal dynamics of flexible hypersonic vehicles effectively verifies the validity of the developed theoretical results.