A sliding mode observer for discrete-time linear systems is proposed which can maintain the sliding mode and retains robustness properties of the continuous-time counterpart. Matching conditions under which the sliding mode is invariant to dynamical modelling errors and disturbances, and effects of measurement noise are also presented.

Proceedings of the 1995 American Control Conference. Part 1 (of 6)
Department of Systems and Computer Engineering

Aitken, V, & Schwartz, H.M. (1995). Towards robust discrete-time sliding mode observers. In Proceedings of the American Control Conference (pp. 3730–3734).