Reliable Saturation Control for Multiple Asynchronous Switched Positive Systems With Adaptive Event-Triggered Control

Abstract

This paper investigates the L1 gain stability problem of reliable control for positive systems with input saturation under multi-asynchronous switching. Firstly, by constructing a system state observer and integrating it with an output feedback control strategy, the input variables for the system controller were obtained, and a reliable controller with input saturation was designed. Secondly, to prevent data accumulation, an adaptive event-triggered control strategy that ensures the non-negativity requirements of positive systems is introduced between the observer and the system state. This strategy can adjust the tightness of the event-triggering process, which not only improves control efficiency but also reduces the risk of the Zeno effect. The following describes a switching strategy based on event-triggered control. Under the guidance of a time-varying mode-dependent average dwell-time switching strategy, the multi-asynchronous delay problem of sub-observers and sub-controllers with respect to subsystems is addressed, leading to a closed-loop control system based on error feedback. By constructing co-positive Lyapunov function, sufficient conditions for the positivity of the system under both synchronous- and asynchronous-switching are provided, and the L1 gain stability of the system in both synchronous and asynchronous intervals is verified. Finally, the significance of the proposed method is validated through an example.