A novel approach to state estimation of HIV infection dynamics using fixed-time fractional order observer

Sharafian, Amin and Kanesan, Jeevan and Khairuddin, Anis Salwa Mohd and Ramanathan, Anand and Sharifi, Alireza and Bai, Xiaoshan (2023) A novel approach to state estimation of HIV infection dynamics using fixed-time fractional order observer. Chaos Solitons & Fractals, 177. ISSN 0960-0779, DOI https://doi.org/10.1016/j.chaos.2023.114192.

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Abstract

This paper presents a novel approach to designing a fixed-time fractional order observer for estimating the states of the dynamic model of human immunodeficiency virus (HIV) infection. The proposed approach combines output injection terminal sliding mode and RBF neural network strategies to achieve a robust and efficient estimation of the states of the HIV model within a fixed time frame. The main contributions of this work are the introduction of an output injection observer that ensures the stability of the error system along with a novel nonlinear sliding surface that guarantees the fixed-time error convergence to the neighborhood of zero. Moreover, the closed-loop scheme of the observer design is proven to be bounded, and the fixed-time stability of the observer error is obtained using the fractional Lyapunov stability approach. Simulation results show that the proposed fixed-time fractional order observer design provides accurate and efficient estimation of the states of the HIV model.

Item Type: Article
Funders: Faculty Research grant under Faculty of Engineering, University of Malaya, Malaysia [Grant No: GPF055A-2020]
Uncontrolled Keywords: Fixed time; Terminal sliding mode; Observer; Output injection; HIV
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Dentistry
Faculty of Engineering > Department of Electrical Engineering
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 17 Oct 2025 03:30
Last Modified: 17 Oct 2025 03:30
URI: http://eprints.um.edu.my/id/eprint/48107

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