High-Order Fully Actuated System Models for Strict-Feedback Systems with Increasing Dimensions

This paper mainly addresses control problems of strict-feedback systems (SFSs) with increasing dimensions. Compared with the commonly-considered SFSs where the subsystems have the same dimension, we aim to handle more complex cases, i.e., the subsystems in the considered SFSs are assumed to have increasing dimensions. By transforming the systems into high-order fully-actuated system (HOFAS) models, the stabilizing controllers can be directly given. Besides first-order SFSs, second-order and high-order SFSs are also considered.