Model parameters variation in constrained discrete time sliding mode control

In this paper we take into account the variation of the model parameters, during the regulation process, in the discrete time sliding mode control approach. Moreover, the system is affected by unknown, but bounded external disturbances that do not need to satisfy the matching conditions. The controller guarantees the fastest, monotonic and finite time convergence of the representative point to the switching hyperplane, simultaneously ensuring constraints satisfaction on both state and input signal. Sufficient condition that assures all mentioned properties is formally proved and the simulation example demonstrates advantages of the theoretical considerations.