Abstract
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.
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