LQG-Optimal versus Simple Event-Based PID Controllers
(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:
https://lup.lub.lu.se/record/1db74f94-c8e5-4d1c-9972-7c11112bcf8c
- author
- Cervin, Anton LU and Thelander Andrén, Marcus LU
- organization
- publishing date
- 2020
- 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}}, }