O(T2) sliding mode control on a flexible structure

Implementation of discrete time sliding mode control on a sampled-data system leads to sliding motion in an O(T²) boundary layer of the discontinuity surface, where T is the sampling period. A truss-panel structure vibration control experiment is conducted to demonstrate the effectiveness of the proposed method. This paper utilizes a truncated model to characterize the modes of interest and treats all the high frequency modes as disturbances. The experiment includes system identification, state observer design, and discrete time sliding mode control