Sliding mode control in dynamic systems

This paper deals with the generalization of the concept of "sliding mode control" for arbitrary dynamic systems governed by a shift operator. This class embraces continuous- and discrete-time, finite- and infinite-dimensional systems, and systems described by difference-differential equations. The new concept rests upon the singularity property of a shift operator in systems with sliding modes. The design procedures are presented for different classes of dynamic systems.<<ETX>>