A discrete-time multivariable state feedback MRAC design with application to linearized aircraft models with damage

This paper studies the discrete-time multivariable model reference adaptive control (MRAC) design for discrete time linearized aircraft systems under damage conditions. A discrete-time sequential linear system with uncertain parameters and an unknown dynamics offset is used to model the large uncertain system parametric and structural changes caused by damage. The invariance properties of the two important design conditions, the interactor matrix and the signs of the high frequency gain matrix, of the discrete-time systems are studied. A discrete-time state feedback MRAC scheme is developed to ensure closed-loop signal boundedness and asymptotic output tracking in the presence of damage. Simulation study of the linearized NASA Generic Transport Model (GTM) shows the desired system performance under uncertain damage.