Non-fragile sliding mode control of discrete singular systems

This paper is concerned with non-fragile sliding mode control of discrete singular systems with external disturbance. A new sliding function is proposed and necessary and sufficient conditions are derived to guarantee that sliding mode dynamics is admissible with H∞H∞ disturbance rejection level. For both the cases with additive and multiplicative controller uncertainties, non-fragile sliding mode controllers are established to satisfy the reaching condition. Finally, an example is given to illustrate the effectiveness of the proposed method.

► A new sliding function is designed, which includes a norm-bounded parameter uncertainty.
► Singular matrix E is taken into account in the design of sliding function.
► Sliding mode dynamics can be conveniently obtained by the proposed method.
► Sliding mode controllers are designed such that the chattering can be reduced.