Digital Model Conversion of Continuous Time Uncertain Systems

摘要

This paper presents a mixed method consisting of the bilinear approximation and the inverse bilinear approximeation method for model conversions of a continuous time structured uncertain linear system to an equivalent discrete time structured uncertain linear model. When the radio of the uncertainties (DELTA A, DELTA B) to the nominal system parameters (A_0, B_0) and/or the sampling period (T <= 2/||A_0|| + ||DELTA A||) are sufficiently small, the linearized uncertain models can be obtained by neglecting the nonlinear uncertain term O (T~2 DELTA A DELTA B) in the state space models.