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LQG-Optimal versus Simple Event-Based PID Controllers

Cervin, Anton LU and Thelander Andrén, Marcus LU (2020) The 2020 American Control Conference
Abstract
In this paper, we study event-based PID control from an optimal stochastic control perspective. The purpose is to better understand what implementation features are critical for achieving good event-based PID performance. For this end, we formulate an LQG control design problem for a double integrator process with an integral disturbance, where the solution is an ideal PID controller. We then consider the trade-off between LQG cost and average sampling rate and give an interpretation of the optimal sampled-data controller and event-based sampling policy in terms of PID control. Based on insights from the optimal solution, we finally discuss how suboptimal but simple event-based PID controllers can be implemented. The proposed... (More)
In this paper, we study event-based PID control from an optimal stochastic control perspective. The purpose is to better understand what implementation features are critical for achieving good event-based PID performance. For this end, we formulate an LQG control design problem for a double integrator process with an integral disturbance, where the solution is an ideal PID controller. We then consider the trade-off between LQG cost and average sampling rate and give an interpretation of the optimal sampled-data controller and event-based sampling policy in terms of PID control. Based on insights from the optimal solution, we finally discuss how suboptimal but simple event-based PID controllers can be implemented. The proposed implementation is evaluated in a simulation study and compared to earlier work in event-based PID control. The results highlight the importance of considering both the triggering rule and the transmitted information in order to obtain an event-based PID controller with good performance. (Less)
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
sampled-data control, Discrete event systems, PID control
host publication
2020 American Control Conference (ACC)
pages
7 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
The 2020 American Control Conference
conference location
Denver, United States
conference dates
2020-07-01 - 2020-07-03
external identifiers
  • scopus:85089573684
ISBN
978-1-5386-8266-1
DOI
10.23919/ACC45564.2020.9147559
project
Event-Based Estimation and Control
Event-Based Control of Stochastic Systems with Application to Server Systems
language
English
LU publication?
yes
id
1db74f94-c8e5-4d1c-9972-7c11112bcf8c
date added to LUP
2020-01-07 14:50:11
date last changed
2020-09-02 04:53:09
@inproceedings{1db74f94-c8e5-4d1c-9972-7c11112bcf8c,
  abstract     = {In this paper, we study event-based PID control from an optimal stochastic control perspective. The purpose is to better understand what implementation features are critical for achieving good event-based PID performance. For this end, we formulate an LQG control design problem for a double integrator process with an integral disturbance, where the solution is an ideal PID controller. We then consider the trade-off between LQG cost and average sampling rate and give an interpretation of the optimal sampled-data controller and event-based sampling policy in terms of PID control. Based on insights from the optimal solution, we finally discuss how suboptimal but simple event-based PID controllers can be implemented. The proposed implementation is evaluated in a simulation study and compared to earlier work in event-based PID control. The results highlight the importance of considering both the triggering rule and the transmitted information in order to obtain an event-based PID controller with good performance.},
  author       = {Cervin, Anton and Thelander Andrén, Marcus},
  booktitle    = {2020 American Control Conference (ACC)},
  isbn         = {978-1-5386-8266-1},
  language     = {eng},
  publisher    = {IEEE - Institute of Electrical and Electronics Engineers Inc.},
  title        = {LQG-Optimal versus Simple Event-Based PID Controllers},
  url          = {https://lup.lub.lu.se/search/ws/files/80049251/ACC20_final.pdf},
  doi          = {10.23919/ACC45564.2020.9147559},
  year         = {2020},
}