Title :
An LMI approach to control-oriented identification and model (In) validation of LPV systems
Author :
Sznaier, Mario ; Mazzaro, María Cecilia
Author_Institution :
Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA, USA
Abstract :
This note proposes a control-oriented identification framework for a class of linear parameter varying systems that takes into account both the dependence of part of the model on time-varying parameters as well as the possible existence of a nonparametric component. The main results of the note show that the problems of obtaining and validating a model for these systems can be recast as linear matrix inequality feasibility problems. Moreover, as the information is completed, the algorithm is shown to converge in the l2-induced topology to the actual plant. Additional results include deterministic bounds on the identification error. These results are illustrated with a practical example arising in the context of active vision.
Keywords :
active vision; identification; linear matrix inequalities; linear systems; active vision; deterministic bounds; identification; linear matrix inequality; linear parameter varying systems; linear time-invariant systems; nonparametric component; Control system synthesis; Control systems; Data mining; Error correction; Linear matrix inequalities; Robust control; Stability; Time varying systems; Topology; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.817001