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A control Lyapunov function approach to adaptive control of HIV-1 infection

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Języki publikacji
EN
Abstrakty
EN
This paper presents an algorithm for nonlinear adaptive control of the viral load in HIV-1 infection. The infection model considered is a reduced complexity nonlinear state-space model with two state variables, that represent the plasma concentration of uninfected and infected CD4+ T-cells of the human immune system. The viral load is assumed to be proportional to the concentration of infected cells. First, a change of variables that exactly linearizes the system is obtained. For the resulting linear system the manipulated variable is obtained by state feedback. To compensate for the uncertainty in the infection parameter of the model an estimator based on a Control Lyapunov Function is designed.
Rocznik
Strony
273--284
Opis fizyczny
Bibliogr. 10 poz., rys., wzory
Twórcy
autor
autor
  • INESC-ID/IST and INESC-ID/Univ. Évora, R. Alves Redol 9, 1000-029 Lisboa, Portugal, jlml@inesc-id.pt
Bibliografia
  • [1] F. L. Biafore and C. E. D’Atellis: Exact linearization and control of a HIV-1 predator-prey model. Proc. 2005 IEEE Eng. in Medicine and Biology 27th AnnualConf., Shanghai, China, (2005), 2367-2370.
  • [2] M. E. Brandt and G. Chen: Feedback control of a bioidynamical model of HIV-1. IEEE Trans. Biomedical Eng., 48(7), (2001), 754-759.
  • [3] C.-F. Cheng and C.-T. Chang: Viral load analysis of a biodynamical model of HIV-1 with unknown equilibrium points. Proc. IEEE Conf. on Control Applications, Taipei, Taiwan, (2004), 557-561.
  • [4] S. Gee, Z. Tian and T. Lee: Nonlinear control of a dynamic model of HIV-1. IEEE Tran. Biomedical Eng., 52(3), (2005), 353-361.
  • [5] H. Nijmeijer and A. Van der Schaft: Nonlinear Dynamical Control Systems. Springer-Verlag, 1990.
  • [6] A. Perelson and P. Nelson: Mathematical analysis of HIV-1 dynamics in vivo. SIAM Review, 41(1), (1999), 3-44.
  • [7] S. Sastry and A. Isidori: Adaptive control of linearizable systems. IEEE Trans.on Automatic Control, 34(11). (1989), 1123-1131.
  • [8] J. F. de Souza, M. Caetano and T. Yoneyama: Optimal control applied to the antiviral treatment of AIDS. Proc. 39th IEEE Conf. on Decision and Control, Sydney, Australia, (2000), 4839-4844.
  • [9] Z. Tian, S. S. Ge and T. H. Lee: Globally stable nonlinear control of HIV-1 systems. Proc. Amer. Control Conf., Boston, Massachusets, (2004).
  • [10] R. Zurakowski and A. Teel: A model predictive control based scheduling method for HIV therapy. J. of Theoretical Biology, 238 (2006), 368-382.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0103-0002
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