Stable predictive control horizons

International Journal of Control, Available online: 20 Jan 2012
Stable predictive control horizons
Raúl Estradaa, Antonio Favelaa*, Angelo Raimondia, Antonio Nevadob, Ricardo Requenab & Francisco Beltrán-Carbajalc
Raúl Estrada^a, Antonio Favela^a*, Angelo Raimondi^a, Antonio Nevado^b, Ricardo Requena^b & Francisco Beltrán-Carbajal^c
a Department of Mechatronics and Automation, ITESM – Campus Monterrey, Monterrey, Mexico
^b UNED/DIEEC, Juan del Rosal 12, 28040 Madrid, Spain
^c Department of Energy, Universidad Autónoma Metropolitana, Plantel Azcapotzalco, Mexico, DF
Abstract
The hypothesis of a physically realizable driving desired trajectory (DDT) forms the basis for the stability theory of predictive and adaptive predictive control for processes of linear and stable nature. Although formal theoretical verification of this hypothesis is trivial for processes with a stable inverse, it is not for processes with an unstable inverse.
To overcome the stability problem, the extended strategy of predictive control was developed.  It has delivered excellent performance and stability in its industrial applications given a suitable choice of the prediction horizon.  Authors present a new method able to determine the set of prediction horizon values which ensure stability under the extended predictive control strategy formulation, as well as a performance criterion for the design of the DDT generically used in many industrial applications.  Simulation examples illustrate the practical application of the method.
Full Text Source (Subscription or Fee): http://www.tandfonline.com/doi/abs/10.1080/00207179.2011.652363