Premium
Robust feedback design for combined therapy of cancer
Author(s) -
Alamir Mazen
Publication year - 2012
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2057
Subject(s) - robustness (evolution) , feedback control , control theory (sociology) , computer science , robust control , mathematical optimization , scheduling (production processes) , differential equation , mathematics , control (management) , control engineering , control system , artificial intelligence , engineering , gene , mathematical analysis , biochemistry , chemistry , electrical engineering
SUMMARY In this paper, a mathematical model for the scheduling of angiogenic inhibitors with a killing agent is used to derive a robust state feedback control for the combined therapy of cancer. Robustness is considered against parameter uncertainties through the solution of the associated Hamilton–Jacobi–Isaacs (HJI) partial differential equation. Unlike open‐loop optimal control paradigm, solving the HJI equation provides a guaranteed‐cost feedback control and a whole visibility of the achievable performance for any possible initial state within the region of interest and for any predefined level of parameter uncertainties. Numerical investigation is proposed using an existing model that has been partially validated using human data. Copyright © 2012 John Wiley & Sons, Ltd.