Input-Output Pseudospectral Bounds for Transient Analysis of Networked and High-Order Systems
Hansson, Jonas LU
and Tegling, Emma
LU
(2022)
61st IEEE Conference on Decision and Control (CDC)
p.7497-7503
- Abstract
- Motivated by a need to characterize transient behaviors in large network systems in terms of relevant signal norms and worst-case input scenarios, we propose a novel approach based on existing theory for matrix pseudospectra. We extend pseudospectral theorems, pertaining to matrix exponentials, to an input-output setting, where matrix exponentials are pre- and post-multiplied by input and output matrices. Analyzing the resulting transfer functions in the complex plane allows us to state new upper and lower bounds on system transients. These are useful for higher-order matrix differential equations, and specifically control of double-integrator networks such as vehicle formation problems. Therefore, we illustrate the theory's applicability... (More)
- Motivated by a need to characterize transient behaviors in large network systems in terms of relevant signal norms and worst-case input scenarios, we propose a novel approach based on existing theory for matrix pseudospectra. We extend pseudospectral theorems, pertaining to matrix exponentials, to an input-output setting, where matrix exponentials are pre- and post-multiplied by input and output matrices. Analyzing the resulting transfer functions in the complex plane allows us to state new upper and lower bounds on system transients. These are useful for higher-order matrix differential equations, and specifically control of double-integrator networks such as vehicle formation problems. Therefore, we illustrate the theory's applicability to the problem of vehicle platooning and the question of string stability, and show how unfavorable transient behaviors can be discerned and quantified directly from the input-output pseudospectra. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/ae5c0c07-d16c-41c8-9c01-96b9dc94802f
- author
- Hansson, Jonas
LU
and Tegling, Emma
LU
- organization
- publishing date
- 2022
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- 61st IEEE Conference on Decision and Control
- pages
- 7 pages
- conference name
- 61st IEEE Conference on Decision and Control (CDC)
- conference location
- Cancún, Mexico
- conference dates
- 2022-12-06 - 2022-12-09
- external identifiers
-
- scopus:85146979017
- DOI
- 10.48550/arXiv.2210.08903
- project
- Fundamental mechanisms for scalable control of large networks
- Performance, Controllability, and Robustness of Large-Scale and Non-Normal Network Systems
- language
- English
- LU publication?
- yes
- id
- ae5c0c07-d16c-41c8-9c01-96b9dc94802f
- alternative location
- https://doi.org/10.48550/arXiv.2210.08903
- date added to LUP
- 2022-10-24 14:10:39
- date last changed
- 2023-02-14 14:53:12
@inproceedings{ae5c0c07-d16c-41c8-9c01-96b9dc94802f,
abstract = {{Motivated by a need to characterize transient behaviors in large network systems in terms of relevant signal norms and worst-case input scenarios, we propose a novel approach based on existing theory for matrix pseudospectra. We extend pseudospectral theorems, pertaining to matrix exponentials, to an input-output setting, where matrix exponentials are pre- and post-multiplied by input and output matrices. Analyzing the resulting transfer functions in the complex plane allows us to state new upper and lower bounds on system transients. These are useful for higher-order matrix differential equations, and specifically control of double-integrator networks such as vehicle formation problems. Therefore, we illustrate the theory's applicability to the problem of vehicle platooning and the question of string stability, and show how unfavorable transient behaviors can be discerned and quantified directly from the input-output pseudospectra.}},
author = {{Hansson, Jonas and Tegling, Emma}},
booktitle = {{61st IEEE Conference on Decision and Control}},
language = {{eng}},
pages = {{7497--7503}},
title = {{Input-Output Pseudospectral Bounds for Transient Analysis of Networked and High-Order Systems}},
url = {{http://dx.doi.org/10.48550/arXiv.2210.08903}},
doi = {{10.48550/arXiv.2210.08903}},
year = {{2022}},
}