Exact Observer for Switching Linear Systems via Super-Twisting Algorithm

This paper discusses the problem of observability synthesis of switching systems. Based only on the continuous output information, an observer is proposed ensuring the reconstruction of the entire state (continuous and discrete) in finite time. For the observer design a exact sliding mode differentiator is used, which allows the finite time convergence of the observer trajectories to the original trajectories. The observer design includes both cases zero control input and nonzero control input. Simulations illustrate the effectiveness of the proposed observation scheme.