Résumé
A model of boundary control system with boundary observation is described and analyzed, which involves no unbounded operator except for the dynamics generator. The resolution of a LQ-optimal control problem for this model provides a stabilizing feedback for a nominal system with unbounded operators. The model consists of an extended abstract differential equation whose state components are the boundary input, the state (up to an affine transformation) and a Yosida-type approximation of the output of the nominal system. It is shown that, under suitable conditions, the model is well-posed and, in particular, that the dynamics operator is the generator of an analytic C0- semigroup and the model is observable. A LQ-optimal control problem is posed for the model, and a general method of resolution based on the problem of spectral factorization of a multi-dimensional operator-valued spectral density is described. It is expected that this approach will lead hopefully to a good trade-off between the cost of modelling and the efficiency of methods of resolution of control problems for such systems.
langue originale | Anglais |
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titre | Proceedings of the IEEE Conference on Decision and Control |
Editeur | Institute of Electrical and Electronics Engineers Inc. |
Pages | 1071-1076 |
Nombre de pages | 6 |
ISBN (imprimé) | 9781467357173 |
Les DOIs | |
Etat de la publication | Publié - 2013 |
Evénement | 52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italie Durée: 10 déc. 2013 → 13 déc. 2013 |
Une conférence
Une conférence | 52nd IEEE Conference on Decision and Control, CDC 2013 |
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Pays/Territoire | Italie |
La ville | Florence |
période | 10/12/13 → 13/12/13 |