A stochastic sliding mode scheme for longitudinal control of an aircraft model

This paper addresses the stochastic sliding mode control problem of an aircraft model given in the literature which is perturbed by Gaussian noise. The objective is to stabilize the decoupled longitudinal dynamics of motion. An integral sliding surface is proposed and the sufficient conditions for stochastic stability of the closed-loop dynamics on the proposed sliding surface are given in terms of linear matrix inequalities (LMIs). The proposed method guarantees the reachability of the sliding surface, then the tracking error tends to zero in finite time.