HIV dynamics: Analysis and robust multirate MPC-based treatment schedules | ||
| The International Conference on Electrical Engineering | ||
| Article 12, Volume 6, 6th International Conference on Electrical Engineering ICEENG 2008, May 2008, Pages 1-28 PDF (424.36 K) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/iceeng.2008.34195 | ||
| Authors | ||
| Ahmed M. Elaiw; X. Xia | ||
| Department of Electrical, Electronic and Computer Engineering, University of Pretoria, Pretoria 0002, South Africa. | ||
| Abstract | ||
| Abstract: Analysis and control of human immunodeficiency virus (HIV) infection have attracted the interests of mathematicians and control engineers during the recent years. In this paper we study the basic properties of a 6-dimensional HIV model that describes the interaction of HIV with two target cells, CD4+ T cells and macrophages. Besides model inaccuracies that HIV models suffer from, some disturbances/uncertainties from different sources may arise in the modelling. The disturbances are modelled in the HIV model as additive bounded disturbances. Highly Active AntiRetroviral Therapy (HAART) is used. The control input is defined to be dependent on the drug dose and drug efficiency. We developed a treatment schedules for HIV infected patients by using robust multirate Model Predictive Control (MPC)-based method. The MPC is constructed on the basis of the approximate discrete-time model of the nominal model. We established a set of conditions, which guarantee that the multirate MPC practically stabilizes the exact discrete-time model with disturbances. The proposed method is applied to the stabilization of the uninfected steady state of the HIV model. The results of simulations show that, after initiation of HAART with a strong dosage, the viral load drop quickly and it can be kept under a suitable level with mild dosage of HAART. Moreover, the immune system is recovered with some fluctuations due to the presence of disturbances. | ||
| Keywords | ||
| Robust MPC; HIV/AIDS; Feedback stabilization; Sampled-data systems | ||
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