Composite Adaptive Control ofAir-Breathing Hypersonic Vehicles Using Immersion and Invariance

Abstract

A composite adaptive control design based on the immersion and invariance (I& I) theory is presented for the air-breathing hypersonic vehicles. The interest here is to achieve a robust trajectory tracking control of the reference commands in the presence of model parametric uncertainties. The main feature of the proposed control scheme lies in the design of the composite I& I adaptive estimators, which consist of tracking-error based adaptation law and prediction-error based adaptation law. The tracking-error based adaptation law is first constructed using I& I theory, then the prediction-error based adaptation law is added to it, thus makes a composite adaptive control law. Stability analysis is presented using Lyapunov theory and asymptotical convergence of the tracking errors to zero is accomplished. Representative simulations are performed, which illustrate the effectiveness and robustness of the composite control scheme.