Model conversions of uncertain linear systems using the bilinear and inverse-bilinear approximation method

This paper presents a bilinear and inverse-bilinear approximation method for state-space model conversions of continuous-time and discrete-time structured uncertain linear systems. When a sampling period (T) is sufficiently small, the conversion of a continuous-time (discrete-time) structured uncertain linear system to an equivalent discrete-time (continuous-time) system can be carried out by neglecting O(T²) uncertainty terms in the state-space models. The comparison of the proposed model with the commonly used linearized model and the bilinear transformed model is also presented