Non-linear tracking control for multivariable constrained input linear systems

This paper extends the non-linear tracking methodology of Lin et al. to hig h-order and multivariable linear systems. The results provide a method of s ynthesizing controllers which asymptotically track a constant set-point. As with the original scheme, allowances for control limits are handled direct ly in the design phase, and no a posteriori compensation is required. The r esulting control law consists of both linear and non-linear parts; the non- linear term being added with a view to improving the response of the system , without reducing the size of its basin of attraction. The proposed techni que is demonstrated on two aerospace examples which indicate promising resu lts.