Decentralized Periodic Event-Triggered Control for Nonlinear Switched Systems

Abstract

Decentralized periodic event-triggered control (DPETC) is a method that allows sensors to be placed flexibly while cutting down on their workload and the amount of data they send in a feedback loop, which makes it a good fit for wireless network control systems. In this article, we investigate the control issues of nonlinear switched systems whose switches are determined by the system input and consider their stability by designing a DPETC scheme. Additionally, we model and control a water distribution system with looped pipe network using a switched model and the proposed theory. In this DPETC, at each periodic sampling time, the local event-triggered mechanism determines events by assessing whether the local sampling error meets the predefined triggering condition. If so, the collected sampling data will be transmitted to a central controller. This controller processes the data to compute the control input, with those nodes without events using the previous updated sampling data. Based on the derived control input, the controller then switches to the appropriate mode following the system's switches. The feasibility of the proposed method is demonstrated through three examples, including a smart water distribution system with looped pipeline.