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

Amin Sharafian, Jeevan Kanesan, Anis Salwa Mohd Khairuddin, Anand Ramanathan, Alireza Sharifi and Xiaoshan Bai

Chaos, Solitons & Fractals, 2023, vol. 177, issue C

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.

Keywords: Fixed time; Terminal sliding mode; Observer; Output injection; HIV (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923010949

DOI: 10.1016/j.chaos.2023.114192

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