TY - GEN
T1 - Output feedback parameter estimation for a HIV model with mutants
AU - Kim, Seok Kyoon
AU - Kim, Choon Nyeon
AU - Yoon, Tae Woong
PY - 2011
Y1 - 2011
N2 - The human immunodeficiency virus (HIV) causes acquired immune deficiency syndrome (AIDS). The process of infection and mutation by HIV can be described by 3rd order ordinary differential equations [1-2]. For this model of HIV that includes the dynamics of the mutant virus, we present an output feedback parameter estimation algorithm by using two state variables out of the three. We first consider a standard parameter estimator [6] for the case where all states are available. We then substitute the estimated variable for the unavailable state in this state feedback estimator, leading to the proposed output feedback estimation algorithm. The resulting estimator is shown to be ultimately bounded under some conditions, and the effectiveness of the parameter estimator is demonstrated by computer simulations. In addition, the estimated parameters are used to analyze the equilibrium points of the HIV model, and the results are shown to be consistent with those obtained previously [7].
AB - The human immunodeficiency virus (HIV) causes acquired immune deficiency syndrome (AIDS). The process of infection and mutation by HIV can be described by 3rd order ordinary differential equations [1-2]. For this model of HIV that includes the dynamics of the mutant virus, we present an output feedback parameter estimation algorithm by using two state variables out of the three. We first consider a standard parameter estimator [6] for the case where all states are available. We then substitute the estimated variable for the unavailable state in this state feedback estimator, leading to the proposed output feedback estimation algorithm. The resulting estimator is shown to be ultimately bounded under some conditions, and the effectiveness of the parameter estimator is demonstrated by computer simulations. In addition, the estimated parameters are used to analyze the equilibrium points of the HIV model, and the results are shown to be consistent with those obtained previously [7].
KW - Hiv model with mutants
KW - Parameter estimation
KW - Ultimate boundedness
UR - http://www.scopus.com/inward/record.url?scp=79958160229&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79958160229&partnerID=8YFLogxK
U2 - 10.2316/P.2011.718-098
DO - 10.2316/P.2011.718-098
M3 - Conference contribution
AN - SCOPUS:79958160229
SN - 9780889868632
T3 - Proceedings of the IASTED International Conference on Modelling, Identification and Control
SP - 399
EP - 405
BT - Proceedings of the 31st IASTED International Conference on Modelling, Identification, and Control, MIC 2011
T2 - 31st IASTED International Conference on Modelling, Identification, and Control, MIC 2011
Y2 - 14 February 2011 through 16 February 2011
ER -
