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Nonlinear Uncertain HIV-1 Model Controller by Using Control Lyapunov Function
Department of Electrical and Computer Engineering, Oakland University, Rochester, USA
Department of Electrical and Computer Engineering, Oakland University, Rochester, USA
- 1 Department of Electrical and Computer Engineering, Oakland University, Rochester, USA
- 2 Department of Electrical and Computer Engineering, Oakland University, Rochester, USA
International Journal of Modern Nonlinear Theory and Application·Volume 01 (2012)·Pages 33–39·Published 28 June 2012·DOI10.4236/ijmnta.2012.12004
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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.
KeywordsHIV-1 Infection ModelControl Lyapunov Function (CLF)Control StrategyUncertain ParametersNoise Effect
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