Extended Predictive Control: Stability and Performance

The stability and performance of the extended predictive control depend on the driver block design and, specifically, on the three factors that determine this design, that is to say, the choice of the performance criterion, the reference trajectory dynamics, and the prediction horizon. This paper presents, for a particular choice of the performance criterion, a new method to determine the closed-loop stability and performance for the class of linear stable system, taking into account the reference trajectory dynamics and the prediction horizon value. Illustrative simulation examples show how, for a certain reference trajectory dynamics, which choice is based on specifications, the selection of the prediction horizon may determine the stability and the performance nature of the closed-loop.