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 ∞ 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.