Sliding mode state observers for SISO linear discrete-time systems

Discrete-time sliding mode observer design for SISO systems is discussed. The sliding lattice is a new approach in sliding mode control design. For discrete-time systems sliding points exist on a hyperplane which we call the sliding lattice. Asymptotically stable observer design and the stability of reconstruction error systems using the Lyapunov direct method are presented. Techniques for finding the feedforward injection map and the external feedforward compensation signal are given.