Flatness based switching frequency estimation of sliding mode controllers for single-input systems

A method is presented that allows an estimation of the switching frequency when sliding mode controllers are used for the control of single-input flat systems. The estimation of the switching frequency is done with respect to nominal trajectories for the flat output. That means, no simulation is required - even for non stationary trajectories-which is considered an outstanding feature of the proposed method. In order to illustrate the efficiency of the method a sliding mode controller for a boost converter is considered as an example. Finally the switching frequency estimation is compared to simulation and measurement results.