Constructing Feedback Linearizable Discretizations for Continuous-Time Systems using Retraction Maps

Control laws for continuous-time dynamical systems are most often implemented via digital controllers using a sample-and-hold technique. Numerical discretization of the continuous system is an integral part subsequent analysis. Feedback linearizability such sampled dependent upon choice map or In this article, feedback linearizable systems, we utilize idea retraction maps to construct discretizations that as well. We also propose method functionally compose obtain higher-order integrators linearizable.