DISCRETE-TIME BILINEAR REPRESENTATION OF CONTINUOUS-TIME BILINEAR STATE-SPACE MODELS

This paper develops techniques to represent a first-order continuous-time bilinear state-space model by various first-order discrete-time bilinear state-space models. Although it is always possible to discretize any well-behaved continuous-time model, of interest are techniques that keep the discrete-time models in first-order form while maintaining the simple bilinear structure of the original continuous-time model for control and estimation applications. Adams-Bashforth integration methods are found to meet these requirements, whereas simpler Euler methods produce unstable discrete-time models, and other methods do not produce models in bilinear form.