On distributed high-gain adaptive stabilization
Sun, Zhiyong LU ; Rantzer, Anders LU
; Li, Zhongkui
and Robertsson, Anders
LU
(2019)
58th IEEE Conference on Decision and Control, CDC 2019
In Proceedings of the IEEE Conference on Decision and Control
2019-December.
p.1083-1088
- Abstract
In this paper we consider adaptive distributed stabilization for uncertain multivariable linear systems with a time-varying diagonal matrix gain. We show that an unknown system matrix being an M-matrix is a sufficient condition to ensure uncertain linear systems to be stabilizable by matrix high gains, and derive a threshold condition to ensure exponential stability of uncertain linear systems stabilized by a monotonically increasing diagonal gain matrix. When each individual gain function in the matrix gain is updated by state-dependent functions, the boundedness and convergence of both system states and adaptive matrix gains are guaranteed. We apply the matrix gain stabilization approach to adaptive synchronization control for complex... (More)
In this paper we consider adaptive distributed stabilization for uncertain multivariable linear systems with a time-varying diagonal matrix gain. We show that an unknown system matrix being an M-matrix is a sufficient condition to ensure uncertain linear systems to be stabilizable by matrix high gains, and derive a threshold condition to ensure exponential stability of uncertain linear systems stabilized by a monotonically increasing diagonal gain matrix. When each individual gain function in the matrix gain is updated by state-dependent functions, the boundedness and convergence of both system states and adaptive matrix gains are guaranteed. We apply the matrix gain stabilization approach to adaptive synchronization control for complex networks with time-varying coupling weights.
(Less)
- author
- Sun, Zhiyong
LU
; Rantzer, Anders
LU
; Li, Zhongkui
and Robertsson, Anders
LU
- organization
- publishing date
- 2019-12-01
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- 2019 IEEE 58th Conference on Decision and Control, CDC 2019
- series title
- Proceedings of the IEEE Conference on Decision and Control
- volume
- 2019-December
- article number
- 9029704
- pages
- 6 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 58th IEEE Conference on Decision and Control, CDC 2019
- conference location
- Nice, France
- conference dates
- 2019-12-11 - 2019-12-13
- external identifiers
-
- scopus:85082454732
- ISSN
- 0743-1546
- 2576-2370
- ISBN
- 9781728113982
- 978-1-7281-1399-9
- DOI
- 10.1109/CDC40024.2019.9029704
- project
- Scalable Control of Interconnected Systems
- Semantic Mapping and Visual Navigation for Smart Robots
- ELLIIT LU P10: Scalable Optimization for Control Systems
- ELLIIT LU P06: Collaborative Robotic Systems
- language
- English
- LU publication?
- yes
- id
- 80800547-1e6a-49d8-9e7d-46f09a484784
- date added to LUP
- 2020-04-29 15:43:42
- date last changed
- 2024-05-01 10:02:04
@inproceedings{80800547-1e6a-49d8-9e7d-46f09a484784,
abstract = {{<p>In this paper we consider adaptive distributed stabilization for uncertain multivariable linear systems with a time-varying diagonal matrix gain. We show that an unknown system matrix being an M-matrix is a sufficient condition to ensure uncertain linear systems to be stabilizable by matrix high gains, and derive a threshold condition to ensure exponential stability of uncertain linear systems stabilized by a monotonically increasing diagonal gain matrix. When each individual gain function in the matrix gain is updated by state-dependent functions, the boundedness and convergence of both system states and adaptive matrix gains are guaranteed. We apply the matrix gain stabilization approach to adaptive synchronization control for complex networks with time-varying coupling weights.</p>}},
author = {{Sun, Zhiyong and Rantzer, Anders and Li, Zhongkui and Robertsson, Anders}},
booktitle = {{2019 IEEE 58th Conference on Decision and Control, CDC 2019}},
isbn = {{9781728113982}},
issn = {{0743-1546}},
language = {{eng}},
month = {{12}},
pages = {{1083--1088}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
series = {{Proceedings of the IEEE Conference on Decision and Control}},
title = {{On distributed high-gain adaptive stabilization}},
url = {{http://dx.doi.org/10.1109/CDC40024.2019.9029704}},
doi = {{10.1109/CDC40024.2019.9029704}},
volume = {{2019-December}},
year = {{2019}},
}