Anti-windup strategy for interval positive linear systems with input saturation

This article discusses an approach to designing an anti-windup gain for an interval positive linear system (PLS) with input saturation in a continuous time framework. The suggested approach demonstrates that the closed-loop system with a controller and the anti-windup gain can be described by a PLS with a dead-zone nonlinearity. The stability analysis for a region of admissible initial states is shown using the Lyapunov function wherein a sector condition is used. Also, a linear matrix inequality (LMI)-based optimization is proposed for maximizing the domain of stability associated with the closed-loop system. For ease of synthesis, the methodology is proposed through conditions incorporated in LMIs. The viability of the proposed method is illustrated through simulation studies.