A two-loop robust controller for HIV infection models in the presence of parameter uncertainties

Jo, Nam-Hoon; Roh, Y.

doi:10.1016/j.bspc.2015.02.001

Cited by 11 publications

(10 citation statements)

References 20 publications

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“…Actually, drug treatment may be designed to be dependent on the values of states instead of as a fixed value, because all states are time‐varying in vivo [23]. Therefore, in [24–26], the authors studied the control design for anti‐virus drug treatments of HIV and then gave us some inspiration to design a type of control strategy for HBV, in which the proposed drug treatments can be adjusted in terms of the states of the HBV‐infected patients. Besides, in comparison with drug therapy, vaccination in public health entity is a high‐efficiency and inexpensive way to prevent the prevalence of HBV infection.…”

Section: Introductionmentioning

confidence: 99%

Control strategy design for the anti‐HBV mathematical model

Ding

Wang

2019

IET syst. biol.

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Section: Introductionmentioning

confidence: 99%

Control strategy design for the anti‐HBV mathematical model

Ding

Wang

2019

IET syst. biol.

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“…In [28], a robust feedback controller based on the Root Locus technique and the Routh Hurwitz method was developed to adjust the dosage of reverse transcriptase inhibitors (RTIs) infusion such that the viral load reduction in HIV-infected patients was achieved. Whereas the above papers [24][25][26][27] have some constraints or weaknesses which may be relaxed or improved. For instance, the considered uncertainty and disturbance in [24] were bound by a constant bound even some uncertainties were dependent on states.…”

Section: Introductionmentioning

confidence: 99%

“…A simple controller form was proposed by Moreno et al [26] to achieve the stabilisation of the healthy equilibrium point without measuring

x_{2}

and knowing the model's parameters. A two‐loop robust non‐linear controller was designed to stabilise the HIV system with parameter uncertainties [27]. In [28], a robust feedback controller based on the Root Locus technique and the Routh Hurwitz method was developed to adjust the dosage of reverse transcriptase inhibitors (RTIs) infusion such that the viral load reduction in HIV‐infected patients was achieved.…”

Section: Introductionmentioning

confidence: 99%

“…The controller proposed by Alazabi and Zohdy [25] seems realistic since it contains uncertainty inside the form. The two‐loop controller proposed by Jo and Roh [27] contains an out‐loop controller to stabilise the nominal HIV infection model and a non‐linear disturbance observer controller (inner‐loop control) to deal with parameter uncertainties. This controller form is too complicated and needs all states being measurable.…”

Section: Introductionmentioning

confidence: 99%

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Switching control strategy for the HIV dynamic system with some unknown parameters

Ding

Wang

2019

IET Systems Biology

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In human immunodeficiency virus (HIV) infection, many factors may influence the counts of healthy cells, immune cells and viruses. Drug treatment design for the HIV dynamic system is a valuable subject to be studied. This study considers an HIV dynamic system model with some unknown parameters and unmeasurable CD8 + T cell count and proposes a switching control strategy to force all states of the system to achieve a healthy status. It is a switching form with two different drug therapies and is designed based on the Lyapunov function theory such that the states of the HIV system approach the health equilibrium asymptotically without the influence of unknown parameters and unmeasurable cell counts. The values of all states and drug concentrations are assured to be positive in the control process so that the control strategy can satisfy the actual treatment requirements. Finally, a numerical example is illustrated to show the effectiveness of the proposed control strategy.

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“…따라서, 행렬 Fig. 4 Simulation results of the controller proposed by [9] for 20 different sets of random parameter uncertainties (       ,     ,  )…”

mentioning

confidence: 99%

Drug Treatment Protocol for HIV Infected Patients Using State Feedback Integral Control Technique

Jo¹

2015

The Transactions of The Korean Institute of Electrical Engineer

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-In this paper, a drug treatment protocol is proposed for an HIV infection model that explicitly includes the concentration of healthy T cells, infected T cells, and HIV. Since real parameters of HIV infection model differ from patient to patient, most drug treatment protocols are not able to achieve the treatment goal in the presence of modelling errors. Recently, based on the nonlinear robust control theory, a robust treatment protocol has been proposed that deals with parameter uncertainties. Although the developed scheme is inherently complex, it cannot be applied to the case where all parameters are unknown. In this paper, we propose a new drug treatment protocol that is much simpler than the previous one but can achieve the treatment goal even when all model parameters are unknown. The simulation results verify that the substantial improvement in the performance can be achieved by the proposed scheme.

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A two-loop robust controller for HIV infection models in the presence of parameter uncertainties

Cited by 11 publications

References 20 publications

Control strategy design for the anti‐HBV mathematical model

Control strategy design for the anti‐HBV mathematical model

Switching control strategy for the HIV dynamic system with some unknown parameters

Drug Treatment Protocol for HIV Infected Patients Using State Feedback Integral Control Technique

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