Model predictive control suitable for closed-loop re-identification

ALEJANDRO HERNAN GONZALEZ; ANTONIO FERRAMOSCA; GERMÁN A. BUSTOS; JACINTO LUIS MARCHETTI; MIRKO FIACCHINI; DARCI ODLOAK

SYSTEMS AND CONTROL LETTERS

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2014 vol. 69 p. 23 - 33

0167-6911

The main problem of a closed-loop re-identification procedure is that, in general, the dynamic control and identification objectives are conflicting. In fact, to perform a suitable identification, a persistent excitation of the system is needed, while the control objective is to stabilize the system at a given equilibrium point. However, a generalization of the concept of stability, from punctual stability to (invariant) set stability, allows for a flexibility that can be used to avoid the conflict between these objectives. Taking into account that an invariant target set includes not only a stationary component, but also a transient one, the system could be excited without deteriorating the stability of the closed-loop. In this work, a MPC controller is proposed that ensures the stability of invariant sets at the same time that a signal suitable for closedloop re-identification is generated. Several simulation results show the propose controller formulation properties.