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LQG-Optimal versus Simple Event-Based PID Controllers

Cervin, Anton LU orcid 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
2023-04-10 06:12:59
@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}},
  keywords     = {{sampled-data control; Discrete event systems; PID control}},
  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/files/80049251/ACC20_final.pdf}},
  doi          = {{10.23919/ACC45564.2020.9147559}},
  year         = {{2020}},
}