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Intelligent Digital Redesign of Biodynamic Model of HIV-1

HIV-1 바이오 동역학 모델의 지능형 디지털 재설계

  • 김도완 (연세대학교 전기전자공학과) ;
  • 주영훈 (군산대학교 전자정보공학과) ;
  • 박진배 (연세대학교 전기전자공학과)
  • Published : 2006.06.01

Abstract

This paper studies digital control of biodynamic model of HIV-1 via intelligent digital redesign (IDR). The purpose of the IDR is to develop an equivalent digital fuzzy controller maintaining the satisfactory performance of an existing continuous-time fuzzy controller in the sense of the state-matching. Some conditions for the stability as well as the global state-matching are provided.. They are given by the form of the linear matrix inequalities (LMIs) and thereby easily tractable by the convex optimization techniques. The main features of the proposed method are that 1) the generalized control scheme is provided for the multirate as well as the single-rate digital controllers; 2) a new compensated block-pulse function method is applied to closely match the states of the continuous-time and the sampled-data fuzzy systems in the discrete-time domain; 3) the two-step procedure of IDR is presented to prevent the performance degradation caused by the additional stability conditions. The applicability of the proposed approach is shown through the biodynamic model of HIV-1.

Keywords

References

  1. X. Wei and S. K. Ghosh et al., 'Viral dynamics in human immunodeficiency virus type 1 infection,' Nature, vol. 373, p. 117, 1995 https://doi.org/10.1038/373117a0
  2. J. M. Coffin, 'HIV population dynamics in vivo: implications for genetic variation, pathogenesis and therepy,' Science, vol. 267, pp. 483-489, 1995 https://doi.org/10.1126/science.7824947
  3. D. E. Kirschner and G. F. Webb, 'A model for treatment strategy in the chemotherapy of AIDS,' Bull. Math. Bioi., vol. 58, pp. 367-390, 1996 https://doi.org/10.1007/BF02458312
  4. A. S. Perelson, 'Modeling the interaction of the immune system with HIV. in: mathematical and statistical approaches to AIDS epidemiology,' in Lecture Notes in Biomathematics. Berlin, Germany: Springer-Verlag, 1989, vol. 72, pp. 249-269
  5. A. S. Perelson and D. E. Kirschner, 'A model for the immune system response to HlV: AZT treatment studies. in: mathematical populations dynamics III,' Theory Epidemics, vol. 1, pp. 296-301, 1994
  6. A. R. Mclean and M. A. Nowak, 'Competition between zidovudine sensitive and zidovudine resistant strains of HIV,' AIDS, vol. 6, pp. 71-79, 1992 https://doi.org/10.1097/00002030-199201000-00009
  7. M. A. Nowak, R. M. Anderson, R. Meleana, T.F.W.Wolfs, J. Goudsmit, and R. M. May, 'Antigenic diversity thresholds and the development of AIDS,' AIDS, vol. 143, pp. 852-858, 1991
  8. A. R. Mclean, V. C. Emery, A.Webster, and P. D. Griffiths, 'Population dynamics of HIV within an individual after treatment with zidovudine,' AIDS, vol. 5, pp. 485-489, 1991 https://doi.org/10.1097/00002030-199105000-00002
  9. F. M. C. de Souza, 'Modeling the dynamics of HIV-1 and CD4 and CD8 lymphocytes,' IEEE Eng. Med. Biol. Mag., vol. 18, no. 1, pp. 21-24, Jan. Feb. 1999 https://doi.org/10.1109/51.740960
  10. M. E. Brandt and G. Chen, 'Feedback control of a biodynamical model of HIV-1,' IEEE Trans. Biomed. Eng., no. 7, pp. 754-759, Jul. 2001 https://doi.org/10.1109/10.930900
  11. S. S. Ge, Z. Tian, and T. H. Lee, 'Nonlinear Control of a Dynamic Model of HIV-1,' IEEE Trans. Biomed. Eng., vol. 52 no. 3, pp. 353-361, 2005 https://doi.org/10.1109/TBME.2004.840463
  12. Y. H. Joo, L. S. Shieh, and G. Chen, 'Hybrid state-space fuzzy model-based controller with dual-rate sampling for digital control of chaotic systems,' IEEE Trans. Fuzzy Syst., vol. 7, no. 4 https://doi.org/10.1109/91.784199
  13. H. J. Lee, H. Kim, Y. H. Joo, W. Chang, and J. B. Park, 'A new intelligent digital redesign for T-S fuzzy systems: global approach,' IEEE Trans. Fuzzy Syst., vol. 12, no. 2, pp. 274-284, 2004 https://doi.org/10.1109/TFUZZ.2003.819826