کنترل حالت لغزشی پس‌گام انتگرالی اپیدمی آنفلوانزا در حضور اشباع ورودی و اختلالات خارجی

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 timevarying 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, medical 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.