On discrete time terminal sliding mode control for linear systems with uncertainty

This paper addresses a terminal sliding mode control method for linear discrete time systems affected by uncertainties. A nonlinear sliding manifold is designed. A terminal sliding mode controller is designed to drive the sliding variable to the vicinity of the origin. The bound within which the sliding variable stays eventually is found. How the state variables behave subsequently is also analysed. All the above analysis are based on the assumption that the uncertainty is unknown but bounded. An illustrative example is given at the end to prove the efficacy of the proposed methods.