Impulsive systems model continuous-time frameworks with control actions occurring at discrete time instants. Among the others, such models assume relevance in medical situations, where the physical system under control evolves continuously in time, whilst the control therapy is instantaneously administered, e.g. by means of intra-venous injections. This note proposes a discretization algorithm for an impulsive system, whose methods relies on the Carleman embedding techinique. The discretization times are given by the impulsive control action and do not require to have a fixed discretization period. On the ground of the resulting discrete-time system (which can be computed with arbitrary level of accuracy) we propose an optimal control algorithm on a finite horizon. Simulations are carried out on a model exploited for anti-angiogenic tumor therapies and show the effectiveness of the theoretical results
Impulsive systems model continuous-time frameworks with control actions occurring at discrete time instants. Among the others, such models assume relevance in medical situations, where the physical system under control evolves continuously in time, whilst the control therapy is instantaneously administered, e.g. by means of intra-venous injections. This note proposes a discretization algorithm for an impulsive system, whose methods relies on the Carleman embedding techinique. The discretization times are given by the impulsive control action and do not require to have a fixed discretization period. On the ground of the resulting discrete-time system (which can be computed with arbitrary level of accuracy) we propose an optimal control algorithm on a finite horizon. Simulations are carried out on a model exploited for anti-angiogenic tumor therapies and show the effectiveness of the theoretical results.
Cacace, F., Cusimano, V., Germani, A., Palumbo, P. (2016). Carleman discretization of impulsive systems: Application to the optimal control problem of anti-angiogenic tumor therapies. In 55th IEEE Conference on Decision and Control, CDC 2016; ARIA Resort and Casino Las Vegas; United States; 12-14 December 2016 (pp.1042-1047). Institute of Electrical and Electronics Engineers Inc. [10.1109/CDC.2016.7798405].
Carleman discretization of impulsive systems: Application to the optimal control problem of anti-angiogenic tumor therapies
Palumbo P
2016
Abstract
Impulsive systems model continuous-time frameworks with control actions occurring at discrete time instants. Among the others, such models assume relevance in medical situations, where the physical system under control evolves continuously in time, whilst the control therapy is instantaneously administered, e.g. by means of intra-venous injections. This note proposes a discretization algorithm for an impulsive system, whose methods relies on the Carleman embedding techinique. The discretization times are given by the impulsive control action and do not require to have a fixed discretization period. On the ground of the resulting discrete-time system (which can be computed with arbitrary level of accuracy) we propose an optimal control algorithm on a finite horizon. Simulations are carried out on a model exploited for anti-angiogenic tumor therapies and show the effectiveness of the theoretical results.
| File | Dimensione | Formato | |
|---|---|---|---|
|
CDC2016_v9.pdf
accesso aperto
Descrizione: Versione post-print completa del lavoro
Tipologia di allegato:
Author’s Accepted Manuscript, AAM (Post-print)
Dimensione
342.74 kB
Formato
Adobe PDF
|
342.74 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
