Using sliding mode control in stability treatment of HIV disease

In this paper, a prey-predator system that called human immunodeficiency virus (HIV) models is considered, and sliding mode control (SMC) is used to stabilize this system. The basic model is a 3-dimensional nonlinear ODEs that describes the interaction of the HIV with target cell, cell and macrophage. Lyapunove function is constructed to establish the global asymptotic stability of the uninfected and infected steady states by describing sliding surface (SS), after that by considering the derivation of SS as zero, someone can achieve the equivalent control that inbreed system stays on SS and tends to equilibrium point in infinite horizon. Key word: HIV model, Sliding mode control, Sliding plane, Equivalent control, Lyapunove function.