Super-Twisting Algorithm approach to control tumors growth
This work is about computing the robust control for tumors growth. This control law is developed using the Super-Twisting Algorithm. It is based on the sliding modes approach, with appropriate choices for the control law expressions. As an improved version of the Twisting algorithm, it has been introduced in order to minimize the shattering phenomenon, to allow the outputs to converge in a reasonable amount of time. It also deals with the need of some data that are hard to obtain in practice. The mathematical model of the tumor, as we refer to it as the system, is based on the phases of the cell cycle, where three compartments are considered. The control law is computed and simulated using real data. The system responded in a robust way regarding the modeling and the measurements errors, and the cells concentrations decreased considerably, according to the simulations results.