Nonlinear Control for Growth of Cancerous Tumor Cells

Abstract

In this research work, a Three-Dimensional Cancer model (TDCM) has been used and nonlinear controllers; Lyapunov Redesign, Synergetic and Sliding Mode based controllers have been designed in order to reduce the growth of tumor cells to a level where they become harmless, to maintain the hunting predator cells to their maximum possible value and to retain resting predator cells to 40% of the hunting predator cells. The proposed controllers have been developed for chemotherapy and their effect on different cells has been studied. Asymptotic stability of the proposed controllers has been studied using Lyapunov stability theory. Theoretical analysis has been supported by simulation results using MATLAB/Simulink. Under the proposed controllers, the system behaves very nicely even in the presence of un-modeled disturbances and noise.

Keywords

• Hunting and resting predator cells
• Lyapunov redesign control
• sliding mode control
• synergetic control
• tumor cells