Abstract
This paper proposes model predictive control (MPC) design method for the max-plus linear systems with adjustable parameters. The several studies have been done so far under the constraints that system parameters are constant. However, it is common and inevitable that system parameters are changed in practical systems, so, it is worthwhile to design a new MPC controller with variable parameters. In this paper, we handle a max-plus linear system with system parameters dependent upon event counters and the optimization method we proposed recenlty for an optimal inverse system of max-plus linear system with linear-parameter-varying structure is applied to MPC. Since MPC uses greater prediction step than that of the inverse systems, the controller can be made more robust and the operation cost can be reduced. Finally, the proposed method is applied to a production system with three machines, and the effectiveness of this method is verified through numerical simulations.
