Abstract:
Human Immunodeficiency Virus (HIV) is an extremely dangerous and can
lead to Acquired Immune Deficiency Syndrome, if not treated timely and
effectively. It reduces the CD4 + T cells (type of white blood cells), decreasing the ability of the body to fight against viral infections. As a result, the
body becomes susceptible to opportunistic infections with weaken immune
system, which in severe case may leads to death of a patient. Different mathematical models have been presented in the literature to study the dynamics
of HIV/AIDS. In this thesis, an updated five state model of HIV/AIDS has
been considered and three non-linear controllers: Synergetic, Lyapunov Redesign and Double Integral Sliding Mode controllers have been proposed.
Patient’s immune system will be improved by eliminating infected CD4+T
cells, free HIV and increasing count of healthy CD4+T cells by injecting
lesser amount of anti-retroviral therapy drugs governed by the proposed controllers. Healthy CD4+T cells have been tracked to reference/desired values
and infected CD4+T cells & viral load has been suppressed to zero. Stability of these controllers has been ensured by using Lyapunov theory. The
simulation results have been presented using Matlab/simulink environment.
