Nonlinear Uncertain HIV-1 Model Controller by Using Control Lyapunov Function

Fatma A. Alazabi, Mohamed A. Zohdy

Department of Electrical and Computer Engineering, Oakland University, Rochester, USA.

DOI: 10.4236/ijmnta.2012.12004                

Abstract

In this paper, we introduce a new Control Lyapunov Function (CLF) approach for controlling the behavior of nonlinear uncertain HIV-1 models. The uncertainty is in decay parameters and also external control setting. CLF is then applied to different strategies. One such strategy considers input into infected cells population stage and the other considers input into a virus population stage. Furthermore, by adding noise to the HIV-1 model a realistic comparison between control strategies is presented to evaluate the system’s dynamics. It has been demonstrated that nonlinear control has effectiveness and robustness, in reducing virus loading to an undetectable level.

Keywords

HIV-1 Infection Model; Control Lyapunov Function (CLF); Control Strategy; Uncertain Parameters; Noise Effect

Conflicts of Interest

The authors declare no conflicts of interest.

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