Discrete Time Iterated Mappings based Nonlinear Model and Exact Feedback Linearization Control of Boost DC/DC Converter

On account of the inductance current continuous conduction mode boost DC/DC converter, the modeling method of the discrete time nonlinear system and the feedback linearization control algorithm are addressed in this paper. Based on the nonlinear discrete time iterated mappings method, a simplified discrete time nonlinear model with respect of the DC/DC converter is proposed firstly. Since the nonlinear model is presented as a discrete time form, an exact feedback linearization method over the discrete time nonlinear system is introduced, and a partial linearized form is achieved. Using this linearized form, a control algorithm is derived according to the pole placement. The simulation results indicate that the performance of the proposed control algorithm presents a fast dynamic response, an accurate stable tracking feature and a strong robustness towards the disturbance from the input voltage.