Non-Linear Controller Design of Chemotherapy Drug for a Generic Tumor Model

Abstract

The growth of a cancerous tumor involves many complex biological inter actions. Tumor develops in a body due to the uncontrolled and abnormal growth of normal cells. These cancerous tumors have adverse effects on the human civilization. Chemotherapy is the most commonly used treatment method for the elimination of cancerous tumor from human body. The injec tion of chemotherapy drug has adverse effects on the health of the patient’s body. In this thesis, non-linear control techniques have been proposed for the control of chemotherapy drug. For this purpose, a four state ODE model has been selected which was proposed by De Pillis et al. The model is highly non-linear and chaotic in nature. Non-linear control techniques like synergetic, state feedback, backstepping and SMC plus backstepping control techniques have been proposed for the control of the chemotherapy drug. To check the system stability, mathematical analysis based on Lyapunov stability theory has been discussed. All simulations have been conducted in Simulink/MATLAB to compare the performances of the proposed controllers.