On the Trade-Off Between Control Performance and Communication Cost for Event-Triggered Dead-beat Control

B. Demirel, V. Gupta, D. E. Quevedo and M. Johansson

IEEE Transactions on Automatic Control (submitted)

• ArXiv.org

• R - MATLAB code

Abstract

We consider a stochastic system where the communication between the controller and the actuator is triggered by a threshold-based rule. The communication is performed across an unreliable link that stochastically erases transmitted packets. To decrease the communication burden, and as a partial protection against dropped packets, the controller sends a sequence of control commands to the actuator in each packet. These commands are stored in a buffer and applied sequentially until the next control packet arrives. In this context, we study dead-beat control laws and compute the expected linear-quadratic loss of the closed-loop system for any given event-threshold. Furthermore, we provide analytical expressions that quantify the trade-off between the communication cost and the control performance of event-triggered control systems. Numerical examples demonstrate the effectiveness of the proposed approach.

@article{DGQ+:15,
  Author = {B. Demirel and V. Gupta and D. E. Quevedo and M. Johansson},
  Title = {On the Trade-Off Between Control Performance and Communication Cost for Event-Triggered Dead-beat Control},
  Journal = {IEEE Transactions on Automatic Control},
  Volume = {}
  Number{}
  Pages = {}
  Year = {2015}
}