Model predictive control suitable for closed-loop re-identification

Alejandro Hernan Gonzalez (1) , Antonio Ferramosca (1) , Germán A. A Bustos (1) , Jacinto Luis L Marchetti (1) , Mirko Fiacchini (2) , Darci Odloak (3)

1 INTEC - Instituto de Desarrollo Tecnológico para la Industria Química [Sante Fe]
2 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité
3 USP - Universidade de São Paulo = University of São Paulo

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 closed-loop re-identification is generated. Several simulation results show the propose controller formulation properties.

Mots clés: persistent excitation; target set control; closed-loop identification; Model predictive control

Domaines: Systèmes dynamiques [math.DS]

Alejandro Hernan Gonzalez, Antonio Ferramosca, Germán A. A Bustos, Jacinto Luis L Marchetti, Mirko Fiacchini, et al.. Model predictive control suitable for closed-loop re-identification. Systems and Control Letters, 2014, 69, pp.23-33. ⟨10.1016/j.sysconle.2014.03.007⟩. ⟨hal-01010865⟩