Application of a novel scalability notion in adaptive control to various adaptive control frameworks

In adaptive control theory it is a well-known phenomena that nonidentical command profiles entail nonidentical closed-loop responses of these adaptive systems. While adaptive controllers provide a viable methodology to control uncertain dynamical systems, this lack of predictability is a significant disadvantage, in particular in terms of certification of such control methods. Consequently, achieving predictable closed-loop responses of adaptively- controlled systems is of grand practical interest. For this purpose, we recently introduced a method1 to scale the learning rates of the adaptive weight update laws in order to achieve predictable closed-loop performances for nonidentical, but scalable command profiles. This paper applies the proposed methodology to a model of the longitudinal motion of a Boeing 747 aircraft and simulations for diverse adaptive control schemes illustrate the efficiacy of the proposed scalability notion, which may be a further step towards validation and verification of these adaptive control frameworks.