Sub-optimal Estimation of HIV Time-delay Model using State-Dependent Impulsive Observer with Time-varying Impulse Interval: Application to Continuous-time and Impulsive Inputs

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Kalamian Nasrin; KHALOOZADEH HAMID; AYATI SEYED MOOSA

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Journal Paper

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Journal: Journal of Control Year:2021 | Volume:15 | Issue:1 Page(s): 21-34

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Title

Sub-optimal Estimation of HIV Time-delay Model using State-Dependent Impulsive Observer with Time-varying Impulse Interval: Application to Continuous-time and Impulsive Inputs

Author(s)

Kalamian Nasrin | KHALOOZADEH HAMID | AYATI SEYED MOOSA | Issue Writer Certificate

Keywords

State-dependent impulsive observer

extended pseudo linearization

Comparison principle

sector-bounded condition

HIV

Abstract

Human Immunodeficiency Virus (HIV) weakens the immune system in confronting various diseases by attacking to CD4+T cells. In modeling HIV behavior, the number of CD4+T cells is considered as the output. But, continuous-time measurement of these cells is not possible in practice, and the measurement is only available at variable intervals that are several times bigger than sampling time. In this paper, a State-dependent impulsive observer is designed for state estimation of HIV model. In order to model the HIV behavior, nonlinear time-delay differential equation is employed which considers the intracellular delay. The proposed observer is based on extended pseudo linearization technique. Even though, the number of CD4+T cells is available only in time-varying impulse intervals, this observer is capable of providing a continuous-time estimation of HIV states. It is also suitable for the continuous-time and impulsive control inputs. The asymptotic stability analysis of the suggested observer is guaranteed based on Comparison principle and sector-bounded condition under some new theorems with well-defined sufficient conditions and less conservatism. Simulation and numerical results confirmed the efficiency of the proposed method despite the variable timedelays.

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APA: Copy

Kalamian, Nasrin, KHALOOZADEH, HAMID, & AYATI, SEYED MOOSA. (2021). Sub-optimal Estimation of HIV Time-delay Model using State-Dependent Impulsive Observer with Time-varying Impulse Interval: Application to Continuous-time and Impulsive Inputs. JOURNAL OF CONTROL, 15(1 ), 21-34. SID. https://sid.ir/paper/961757/en

Vancouver: Copy

Kalamian Nasrin, KHALOOZADEH HAMID, AYATI SEYED MOOSA. Sub-optimal Estimation of HIV Time-delay Model using State-Dependent Impulsive Observer with Time-varying Impulse Interval: Application to Continuous-time and Impulsive Inputs. JOURNAL OF CONTROL[Internet]. 2021;15(1 ):21-34. Available from: https://sid.ir/paper/961757/en

IEEE: Copy

Nasrin Kalamian, HAMID KHALOOZADEH, and SEYED MOOSA AYATI, “Sub-optimal Estimation of HIV Time-delay Model using State-Dependent Impulsive Observer with Time-varying Impulse Interval: Application to Continuous-time and Impulsive Inputs,” JOURNAL OF CONTROL, vol. 15, no. 1 , pp. 21–34, 2021, [Online]. Available: https://sid.ir/paper/961757/en

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