|Estimation of CD4+ T Cell Count Parameters in HIV/AIDS Patients Based on Real-time Nonlinear Receding Horizon Control
Fei Sun and Kamran Turkoglu*
International Journal of Control, Automation, and Systems, vol. 16, no. 4, pp.1805-1813, 2018
Abstract : "An increasing number of control techniques are introduced to HIV infection problem to explore the
options of helping clinical testing, optimizing drug treatments and to study the drug resistance. In such cases,
complete/accurate knowledge of the HIV model and/or parameters is critical not only to monitor the dynamics
of the system, but also to adjust the therapy accordingly. In those studies, existence of any type of unknown
parameters imposes severe set-backs and becomes problematic for the treatment of the patients. In this work, we
develop a real-time nonlinear receding horizon control approach to aid such scenarios and to estimate unknown
constant/time-varying parameters of nonlinear HIV system models. For this purpose, the estimation procedure is
reduced to a series of finite-time optimization problem which can be solved by backwards sweep Riccati method in
real time without employing any iterative techniques. The simulation results demonstrate that proposed algorithm
is able to estimate, effectively, unknown constant/time-varying parameters of HIV/AIDS model with disturbance
and provide a unique, adaptive solution to an important open problem."
Adpative control, HIV model, nonlinear receding horizon control, parameter estimation.