Event-triggered control for uncertain singular switched positive systems with actuator saturation under persistent dwell-time constraint

Abstract

This paper explores the event-triggered (E-T) control problem for a class of singular switched positive systems with actuator saturation and parameter uncertainties, subject to persistent dwell-time (PDT) constraints. Generally, the introduction of an E-T mechanism can enhance resource utilization and prevent data congestion. Subsequently, both state feedback control strategies and observer-based control schemes are applied. Sufficient conditions, derived through linear programming (LP), are presented to ensure the positivity, causality, regularity, and exponential stability of the corresponding closed-loop systems. Furthermore, the controller gain matrices and the auxiliary gain matrices are constructed by employing matrix decomposition techniques. Finally, the effectiveness of the theoretical results is validated through an illustrative example.