Dynamic Decentralized Periodic Event-Triggered Control for Wireless Cyber–Physical Systems
Anqi Fu, Julie A. McCann
Abstract
This brief adds dynamic variables to decentralized periodic event-triggered control (DPETC), denoting dynamic DPETC (DDPETC) for wireless cyber-physical systems whose sensors are distributed and bandwidths are limited, and studies the stability and <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">L</i> <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -gain. In DDPETC, dynamic variables that require only local information are designed and added to the event-triggered mechanisms (ETMs). This dynamic variable can guarantee that the ETMs still be localized which does not require information from other nodes. For implementations with DDPETC, at each periodic sampling time the ETMs decide events based on new measurements from local sensors. Those measurements that trigger the events are transmitted to controllers, and after network transmission delays, they are received and the controller computes the control actions. The transmissions of these control actions from controllers to actuators are also decided by ETMs. The feasibility of the approach is shown via two examples. Numerical results show that, with the same stability and performance, DDPETC can save more than 40% events, making it more suitable for wireless cyber-physical systems.