A method for estimating the attraction basin of nonlinear controlled systems subject to actuator saturation constraints

This paper proposes a method for estimating the largest domain of attraction for nonlinear systems with saturated inputs. By identifying this domain, the stability of the system can be ensured and the global controlled system’s performance can be designed under real-world constraints. Enlarging the attraction domain is critical to designing robust control systems that handle practical scenarios efficiently.This work uses JAYA algorithms and linear matrix inequality conditions to determine the optimal state space that maximizes the estimation of the large region of attraction. To demonstrate the effectiveness of the proposed approach, numerical results and analysis are presented.