LQG-optimal PI and PID control as benchmarks for event-based control

Anton Cervin

doi:10.1109/EBCCSP.2016.7605255

LQG-optimal PI and PID control as benchmarks for event-based control

Anton Cervin

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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Abstract

We formulate two simple benchmark problems for event-based control, where the optimal solutions in the continuous-time setting turn out to be ordinary PI and PID controllers. The benchmarks can be used to compare the performance of continuous-time, discrete-time, and various event-based controllers with regard to for instance disturbance attenuation, control effort, and average sampling or actuation rates. They can also be used to evaluate heuristic event-based PI(D) controllers and see how their performance compare to each other and to regular sampled-data control. We give two benchmark examples, where we study the trade-off between event frequency and regulator performance for a number of previously proposed approaches to event-based control.

Original language	English
Title of host publication	2016 2nd International Conference on Event-Based Control, Communication, and Signal Processing, EBCCSP 2016 - Proceedings
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
Number of pages	8
ISBN (Electronic)	9781509041961
DOIs	https://doi.org/10.1109/EBCCSP.2016.7605255
Publication status	Published - 2016 Oct 20
Event	2nd International Conference on Event-Based Control, Communication, and Signal Processing, EBCCSP 2016 - Krakow, Poland Duration: 2016 Jun 13 → 2016 Jun 15

Conference

Conference	2nd International Conference on Event-Based Control, Communication, and Signal Processing, EBCCSP 2016
Country/Territory	Poland
City	Krakow
Period	2016/06/13 → 2016/06/15

Subject classification (UKÄ)

Control Engineering

Free keywords

PID control
LQG control
stochastic control
event-based control
benchmark problem

Access to Document

10.1109/EBCCSP.2016.7605255

LQG-Optimal PI and PID Control As Benchmarks for Event-Based ControlAccepted author manuscript, 204 KB

Cite this

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title = "LQG-optimal PI and PID control as benchmarks for event-based control",

abstract = "We formulate two simple benchmark problems for event-based control, where the optimal solutions in the continuous-time setting turn out to be ordinary PI and PID controllers. The benchmarks can be used to compare the performance of continuous-time, discrete-time, and various event-based controllers with regard to for instance disturbance attenuation, control effort, and average sampling or actuation rates. They can also be used to evaluate heuristic event-based PI(D) controllers and see how their performance compare to each other and to regular sampled-data control. We give two benchmark examples, where we study the trade-off between event frequency and regulator performance for a number of previously proposed approaches to event-based control.",

keywords = "PID control, LQG control, stochastic control, event-based control, benchmark problem",

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year = "2016",

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Cervin, A 2016, LQG-optimal PI and PID control as benchmarks for event-based control. in 2016 2nd International Conference on Event-Based Control, Communication, and Signal Processing, EBCCSP 2016 - Proceedings., 7605255, IEEE - Institute of Electrical and Electronics Engineers Inc., 2nd International Conference on Event-Based Control, Communication, and Signal Processing, EBCCSP 2016, Krakow, Poland, 2016/06/13. https://doi.org/10.1109/EBCCSP.2016.7605255

LQG-optimal PI and PID control as benchmarks for event-based control. / Cervin, Anton.
2016 2nd International Conference on Event-Based Control, Communication, and Signal Processing, EBCCSP 2016 - Proceedings. IEEE - Institute of Electrical and Electronics Engineers Inc., 2016. 7605255.

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

TY - GEN

T1 - LQG-optimal PI and PID control as benchmarks for event-based control

AU - Cervin, Anton

PY - 2016/10/20

Y1 - 2016/10/20

N2 - We formulate two simple benchmark problems for event-based control, where the optimal solutions in the continuous-time setting turn out to be ordinary PI and PID controllers. The benchmarks can be used to compare the performance of continuous-time, discrete-time, and various event-based controllers with regard to for instance disturbance attenuation, control effort, and average sampling or actuation rates. They can also be used to evaluate heuristic event-based PI(D) controllers and see how their performance compare to each other and to regular sampled-data control. We give two benchmark examples, where we study the trade-off between event frequency and regulator performance for a number of previously proposed approaches to event-based control.

AB - We formulate two simple benchmark problems for event-based control, where the optimal solutions in the continuous-time setting turn out to be ordinary PI and PID controllers. The benchmarks can be used to compare the performance of continuous-time, discrete-time, and various event-based controllers with regard to for instance disturbance attenuation, control effort, and average sampling or actuation rates. They can also be used to evaluate heuristic event-based PI(D) controllers and see how their performance compare to each other and to regular sampled-data control. We give two benchmark examples, where we study the trade-off between event frequency and regulator performance for a number of previously proposed approaches to event-based control.

KW - PID control

KW - LQG control

KW - stochastic control

KW - event-based control

KW - benchmark problem

UR - https://www.scopus.com/pages/publications/84998610742

U2 - 10.1109/EBCCSP.2016.7605255

DO - 10.1109/EBCCSP.2016.7605255

M3 - Paper in conference proceeding

AN - SCOPUS:84998610742

BT - 2016 2nd International Conference on Event-Based Control, Communication, and Signal Processing, EBCCSP 2016 - Proceedings

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - 2nd International Conference on Event-Based Control, Communication, and Signal Processing, EBCCSP 2016

Y2 - 13 June 2016 through 15 June 2016

ER -

LQG-optimal PI and PID control as benchmarks for event-based control

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Subject classification (UKÄ)

Free keywords

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