Analysis of an Adaptive Mixing Control Scheme for an Airbreathing Hypersonic Vehicle Model

Recently the adaptive mixing control (AMC) approach has been applied to an airbreathing hypersonic flight vehicle (AHFV) model, and simulation results demonstrate that this adaptive scheme may be capable of improving performance when compared to a non-adaptive mixed-mu design with similar objectives. In this note, the analysis of this AMC scheme's stability and robustness properties is presented, establishing that if the unmodeled dynamics satisfy a norm bound condition, then the closed-loop states are bounded and the mean-square regulation error is of the order of the modeling error.