Integral Backstepping Sliding Mode Control of Influenza Epidemic in the Presence of Input Saturation and External Disturbances

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Document Type : پژوهشی

Authors

1 Department of Electrical Control Engineering, Faculty of Electrical and Computer Engineering, University of Birjand, Birjand, Iran

2 Faculty of Electrical and Computer Engineering, University of Birjand, Birjand. Iran

Abstract

This paper presents a robust sliding mode control approach based on integral backstepping for multi-input multi-output (MIMO) nonlinear systems. The proposed control scheme addresses input saturation, modeling uncertainties, and time-varying external disturbances. A novel auxiliary design system and Nussbaum gain functions are incorporated into the control scheme to tackle input saturation. The proposed control approach is applied to a nonlinear epidemic model. The model of flu epidemiology, which includes five non-negative state variables representing the susceptible, exposed, infected, asymptomatic, and recovered individuals, along with three control inputs for vaccination, antiviral treatment, and social distancing, is being studied. Simulation results demonstrate the effectiveness of the proposed control scheme in handling input saturation and achieving accurate trajectory tracking, highlighting its potential for uncertain nonlinear systems with input constraints.

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Tabriz Journal of Electrical Engineering

Articles in Press, Corrected Proof
Available Online from 05 March 2025

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