On sliding dynamics bounding for discrete-time systems with state delay and disturbances

Engineers Media for Engineers Australia
Publication Type:
Journal Article
Australian Journal of Electrical & Electronic Engineering, 2012, 9 (3), pp. 255 - 261
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This paper addresses the problem of bounding the reachable set of the sliding dynamics in discrete-time systems subject to time-varying state delay and bounded external disturbances. The sliding motion is determined from the equivalent dynamics chosen from a desired eigen-structure via the pole placement technique. New delay-dependent conditions are derived to guarantee that the trajectories in the sliding mode are prescribed in an ellipsoid with a minimal bound on each coordinate. Finally, the proposed approach is illustrated by a numerical example of a quasi-sliding mode controller.
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