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Sporadic Event-Based Control using Path Constraints and Moments

Henningsson, Toivo LU (2011) 50th IEEE Conference on Decision and Control and European Control Conference, 2011 In Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference
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)
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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
external identifiers
  • scopus:84860661196
language
English
LU publication?
yes
id
44c82285-fddd-4a43-92bc-40e253c7b563 (old id 2255300)
date added to LUP
2011-12-20 14:20:22
date last changed
2017-03-05 04:29:41
@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},
  pages        = {6},
  title        = {Sporadic Event-Based Control using Path Constraints and Moments},
  year         = {2011},
}