Feedback linearization of discrete-time nonlinear control systems: computational aspects

Abstract

An alternative solution of the static state feedback linearization problem for the discrete-time case is given. This solution is based on the sequence of distributions, whose computation requires only the knowledge of the backward shift equations. This computational method is especially suitable for the class of discrete-time systems, obtained from the implicit Euler discretization of continuous-time systems. As a practical example the implicit Euler discretization of hydraulic press equations is considered.

Keywords

• feedback linearizability
• discrete-time systems
• vector fields
• implicit euler method.