A model predictive control for max-plus-linear systems with interval parameters

This paper proposes a max-plus model predictive control (MFC) strategy for discrete event dynamical systems modelled by max-plus-linear systems with interval parameters. The control law will be derived in the form of a range of control input vector when the system parameters of max-plus-linear systems varies within the given intervals. In addition, we will show that when the lower bound of the control law is applied to the max-plus-linear systems with interval parameters, the predicted output vectors can be evaluated by the response of the initial state variables and the given reference signals