A new reaching law based DSMC for inventory management systems

Reaching law approach is a straightforward method of ensuring the desired dynamic response of a variable structure system. In our paper, this method is used to design a new non-switching type discrete time sliding mode control strategy. The strategy is shown to ensure a finite time reaching phase, stability of the sliding motion and bounded convergence rate of the sliding variable to the vicinity of the switching plane. The strategy is then applied to a class of systems representing supply chains with commodity loss during transport. It is demonstrated that for such plants, the proposed strategy ensures full satisfaction of the unpredictable demand while adhering to necessary state and input constraints.