Abstract:
Tuberculosis is an infectious disease that is caused by bacteria called mycobacterium. It affects mainly lungs of the human body, but it can also affect
other organs of the body like spinal cord, brain and bones etc.It can spread
via air when an infected individual sneezes or coughs, the myc-becterium
spreads in to the air and it might affect the healthy individuals in surrounding. According to WHO annual report, in spite of newer developments in
the medical field, Globally tuberculosis is still leading cause of the death
after HIV aids. The main objective of this research work is the application
of nonlinear control techniques to contain and prevent tuberculosis. In this
research work we have considered five state SEIRS epidemiological model of
TB and three nonlinear controllers have been designed to control and prevent
the TB. The core objective of this work is to reduce the infected individuals
via treatment and to prevent the healthy individuals from the disease via
vaccination. We have designed three nonlinear controllers and compared the
results with each other. Simulation for each nonlinear controller is done in
Simulink and Matlab. The results depict that the nonlinear controllers are
more robust and show fast convergence to desired level. The goal of the
whole work is to reduce the infected class and susceptible class so that the
disease can be eradicated from the society. The State Feedback nonlinear
controller shows far better results as compared to the Synergetic controller
and Lyapunov controller in terms of convergence time, steady state error and
oscillation.