First order SMC in the presence of uncertain control coefficient for a class of LTI systems

This paper analyzes the problem of the “unmatched” uncertain control coefficient in a class of linear systems. Sufficient conditions are determined to ensure the stability of the dynamics during the sliding mode. This communication states that it is possible to design first-order SMC when the direction in the control vector is unknown. Finally, the feasibility of the results is shown through simulations in a fin-controlled rocket model.