A Radial Basis Function Method for Approximating the Optimal Event-Based Sampling Policy

Marcus Thelander Andrén

A Radial Basis Function Method for Approximating the Optimal Event-Based Sampling Policy

Marcus Thelander Andrén

Research output: Contribution to conference › Poster

92 Downloads (Pure)

Abstract

In networked control systems it is desirable to have efficient wireless communication (saving energy and bandwidth) while still ensuring good control performance. By abandoning periodic sampling, communication can be made more efficient by sampling and updating the control signal only "when required" based on the system’s behaviour. This is the concept of event-based control. In this work we consider the classic LQG problem with an added penalty on the average sampling rate, and derive a numerical method using radial basis functions (RBFs) to approximate the optimal sampling policy. The method is validated numerically, and we prove guaranteed uniqueness and existence of the optimal RBF weights.

Original language	English
Publication status	Published - 2018 Jun 19
Event	ELLIIT Workshop 2018 - Linköping University, Linköping, Sweden Duration: 2018 Oct 22 → 2018 Oct 23 https://old.liu.se/elliit/workshop?l=en

Conference

Conference	ELLIIT Workshop 2018
Country/Territory	Sweden
City	Linköping
Period	2018/10/22 → 2018/10/23
Internet address	https://old.liu.se/elliit/workshop?l=en

Subject classification (UKÄ)

Control Engineering

Free keywords

event-based control
sampled-data control
LQG-optimal control
radial basis function

Access to Document

poster_elliit18Other version, 8.88 MB

3 Paper in conference proceeding
1 Poster

LQG-Optimal versus Simple Event-Based PID Controllers
Cervin, A. & Thelander Andrén, M., 2020, 2020 American Control Conference (ACC). IEEE - Institute of Electrical and Electronics Engineers Inc., 7 p.
Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

Open Access
File
243 Downloads (Pure)
Using Radial Basis Functions to Approximate the LQG-Optimal Event-Based Sampling Policy
Thelander Andrén, M., 2019, 2019 18th European Control Conference (ECC). IEEE - Institute of Electrical and Electronics Engineers Inc.
Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

Open Access
File
151 Downloads (Pure)
On Event-Based Sampling for LQG-Optimal Control
Thelander Andrén, M., Bernhardsson, B., Cervin, A. & Soltesz, K., 2018 Jan, 56th IEEE Conference on Decision and Control, CDC, 2017. p. 5438-5444
Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

Open Access
File
233 Downloads (Pure)

2 Finished

Event-Based Control of Stochastic Systems with Application to Server Systems
Cervin, A. (PI), Thelander Andrén, M. (Research student), Bernhardsson, B. (Assistant supervisor), Soltesz, K. (Assistant supervisor), Heimerson, A. (Research student) & Ruuskanen, J. (Research student)
Swedish Research Council
2018/01/01 → 2022/12/31
Project: Research
Event-Based Estimation and Control
Cervin, A. (Researcher), Bernhardsson, B. (Researcher), Soltesz, K. (Researcher) & Thelander Andrén, M. (Researcher)
2014/01/01 → 2018/12/31
Project: Research

Cite this

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title = "A Radial Basis Function Method for Approximating the Optimal Event-Based Sampling Policy",

abstract = "In networked control systems it is desirable to have efficient wireless communication (saving energy and bandwidth) while still ensuring good control performance. By abandoning periodic sampling, communication can be made more efficient by sampling and updating the control signal only {"}when required{"} based on the system{\textquoteright}s behaviour. This is the concept of event-based control. In this work we consider the classic LQG problem with an added penalty on the average sampling rate, and derive a numerical method using radial basis functions (RBFs) to approximate the optimal sampling policy. The method is validated numerically, and we prove guaranteed uniqueness and existence of the optimal RBF weights.",

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AB - In networked control systems it is desirable to have efficient wireless communication (saving energy and bandwidth) while still ensuring good control performance. By abandoning periodic sampling, communication can be made more efficient by sampling and updating the control signal only "when required" based on the system’s behaviour. This is the concept of event-based control. In this work we consider the classic LQG problem with an added penalty on the average sampling rate, and derive a numerical method using radial basis functions (RBFs) to approximate the optimal sampling policy. The method is validated numerically, and we prove guaranteed uniqueness and existence of the optimal RBF weights.

KW - event-based control

KW - sampled-data control

KW - LQG-optimal control

KW - radial basis function

M3 - Poster

T2 - ELLIIT Workshop 2018

Y2 - 22 October 2018 through 23 October 2018

ER -

A Radial Basis Function Method for Approximating the Optimal Event-Based Sampling Policy

Abstract

Conference

Subject classification (UKÄ)

Free keywords

Access to Document

Fingerprint

Research output

LQG-Optimal versus Simple Event-Based PID Controllers

Using Radial Basis Functions to Approximate the LQG-Optimal Event-Based Sampling Policy

On Event-Based Sampling for LQG-Optimal Control

Projects

Event-Based Control of Stochastic Systems with Application to Server Systems

Event-Based Estimation and Control

Cite this