Sliding mode control for mixed logical dynamical systems

In this paper, the problem of sliding mode control (SMC) for mixed logical dynamical (MLD) systems is investigated. The sufficient conditions for the finite-time reachability and the asymptotical stability of the designed sliding mode surface are established, and the finite reaching time is given. A sliding mode controller is designed to force the trajectories of the mixed logical dynamical system to be driven onto a prescribed sliding surface and maintained there for all subsequent time. Finally, a numerical example is performed to verify the effectiveness and applicability of the sliding mode control design technique proposed in this paper.