Adaptive super-twisting SMC and adaptive terminal SMC of brain tumor via chemotherapy

The treatment of brain tumor requires advanced strategies depending on the severity of tumors. For instance, in case of malignant tumors surgery is not advisable since these tumors are attached very closely with the sensitive tissues of brain, rather chemotherapy treatment is suggested. In this work, two nonlinear controllers have been designed to determine the amount of chemotherapy to remove the tumor cells and retain suitable quantity of healthy and immune cells: the adaptive super-twisting sliding mode and the adaptive terminal sliding mode controllers. System stability and convergence have been verified by the use of Lyapunov stability theory. The performance of the controllers has been verified by the use of MATLAB software on the basis of different control parameters. Adaptive terminal sliding mode controller appears more appealing for its convergence and the reduced chattering, allowing at the same time a reduced amount of drug.