Sporadic Event-Based Control using Path Constraints and Moments
(2011) 50th IEEE Conference on Decision and Control and European Control Conference, 2011- Abstract
- Control is traditionally applied using periodic sensing and actuation. In some applications, it is beneficial to use instead event based control, to communicate or make a change only when necessary. There are no known general closed form solutions to such event based control problems. We consider stationary event-based control problems with mixed continuous/discrete time dynamics and stochastic disturbances. The system is modelled by a set of path constraints, which are converted into constraints on trajectories’ moments up to some order N; upper and lower bounds on the control objective for any system that meets the constraints are derived using sum-of-squares techniques and convex semidefinite programming. Joint optimization of upper... (More)
- Control is traditionally applied using periodic sensing and actuation. In some applications, it is beneficial to use instead event based control, to communicate or make a change only when necessary. There are no known general closed form solutions to such event based control problems. We consider stationary event-based control problems with mixed continuous/discrete time dynamics and stochastic disturbances. The system is modelled by a set of path constraints, which are converted into constraints on trajectories’ moments up to some order N; upper and lower bounds on the control objective for any system that meets the constraints are derived using sum-of-squares techniques and convex semidefinite programming. Joint optimization of upper bound and controller parameters is non-convex in general; approaches to such controller optimization are investigated, including local optimization using bilinear matrix inequalities. Examples show that the bounds are significantly tighter than earlier results obtained using quadratic value functions. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2255300
- author
- Henningsson, Toivo LU
- organization
- publishing date
- 2011
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference
- pages
- 6 pages
- conference name
- 50th IEEE Conference on Decision and Control and European Control Conference, 2011
- conference location
- Orlando, Florida, United States
- conference dates
- 2011-12-12 - 2011-12-15
- external identifiers
-
- scopus:84860661196
- language
- English
- LU publication?
- yes
- additional info
- key=hen11 month=December project=VR-Event, LCCC-implementation, event-control
- id
- 44c82285-fddd-4a43-92bc-40e253c7b563 (old id 2255300)
- date added to LUP
- 2016-04-04 13:27:11
- date last changed
- 2022-01-30 00:19:00
@inproceedings{44c82285-fddd-4a43-92bc-40e253c7b563,
abstract = {{Control is traditionally applied using periodic sensing and actuation. In some applications, it is beneficial to use instead event based control, to communicate or make a change only when necessary. There are no known general closed form solutions to such event based control problems. We consider stationary event-based control problems with mixed continuous/discrete time dynamics and stochastic disturbances. The system is modelled by a set of path constraints, which are converted into constraints on trajectories’ moments up to some order N; upper and lower bounds on the control objective for any system that meets the constraints are derived using sum-of-squares techniques and convex semidefinite programming. Joint optimization of upper bound and controller parameters is non-convex in general; approaches to such controller optimization are investigated, including local optimization using bilinear matrix inequalities. Examples show that the bounds are significantly tighter than earlier results obtained using quadratic value functions.}},
author = {{Henningsson, Toivo}},
booktitle = {{Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference}},
language = {{eng}},
title = {{Sporadic Event-Based Control using Path Constraints and Moments}},
url = {{https://lup.lub.lu.se/search/files/6123488/2255305.pdf}},
year = {{2011}},
}