System and Method for Explicit Model Predictive Control

摘要

A method for controlling a system using an explicit model predictive control (EMPC) evaluates, with respect to a state of the system, each inequality in a set of inequalities defining a set of regions of a state space of the system to produce a set of Boolean results. At least some of the inequalities are evaluated concurrently, and a size of the set of Boolean results equals a size of the set of inequalities. The method determines a region including the state by applying a Boolean function to elements of the set of Boolean results corresponding to inequalities forming boundaries of the region and determines a control for the system based on the state and a gain associated with the region. At least some Boolean functions are applied to corresponding elements concurrently after all elements in the set of Boolean results are evaluated.

主权项

1. A method for controlling a system using an explicit model predictive control (EMPC), comprising:
evaluating, with respect to a state of the system, each inequality in a set of inequalities defining a set of regions of a state space of the system to produce a set of Boolean results, wherein at least some of the inequalities in the set of inequalities are evaluated concurrently, and wherein a size of the set of Boolean results is equal to a size of the set of inequalities; determining a region including the state by applying a Boolean function to elements of the set of Boolean results corresponding to inequalities forming boundaries of the region, wherein at least some Boolean functions are applied to corresponding elements concurrently after all elements in the set of Boolean results are evaluated; and determining a control for controlling the system based on the state and a gain associated with the region, wherein steps of the method are performed by a processor.