Title :
Design of a Hybrid automata model and robust control for tumors, using the three compartments approach
Author :
Zioui, Nadjet ; Tadjine, M. ; Boucherit, M.S.
Author_Institution :
Dept. of Automatics, Nat. Polytech. Sch. (ENP), Algiers, Algeria
Abstract :
This work is about using a space-time evolution mathematical model for tumors, for the aim of controlling them. The mathematical model used is based on the three compartments approach [1]. The model is a Hybrid automata mainly built according to the treatment strategy itself, which consists of checking the cells in one compartment, and to free them once the eliminating agent is at its optimum potential of elimination. After that, robust control laws are developed for each control mode. These control laws are mainly inspired from the differential geometry methodology, and the sliding modes approach with some improvements. Finally, simulations are done and results discussed.
Keywords :
automata theory; control system synthesis; differential geometry; patient treatment; robust control; space-time configurations; tumours; variable structure systems; control mode; differential geometry methodology; hybrid automata model design; optimum elimination potential; robust control laws; sliding mode approach; space-time evolution mathematical model; three compartment approach; treatment strategy; tumors; Automata; Cancer; Computational modeling; Mathematical model; Robust control; Robustness; Tumors;
Conference_Titel :
Communications, Computing and Control Applications (CCCA), 2012 2nd International Conference on
Conference_Location :
Marseilles
Print_ISBN :
978-1-4673-4694-8
DOI :
10.1109/CCCA.2012.6417877
