Design TS fuzzy observer for HIV Infection with use non-quadratic Lyapunov function

This paper proposes an approach to design Takagi-Sugeno fuzzy observers for model of nonlinear dynamics of HIV infection by the method of the sector nonlinearity. The designing procedure method is based on a non-quadratic Lyapunov function. Based on LMI method, the problem can be formulated. The main merit of the presented observer and TS model is robustness against model uncertainty and disturbances, stability of the closed loop system, and convergence of the tracking and observer error to zero. Finally, the simulation result of a numerical example is given to illustrate the effectiveness of this method.

Keywords:

TS fuzzy model , TS observer , HIV Infection , the sector nonlinearity approach , LMI approach