Change search
ReferencesLink to record
Permanent link

Direct link
Scheduling of a limited communication channel for optimal control
KTH, Superseded Departments, Mathematics.
KTH, Superseded Departments, Machine Design.
2004 (English)In: Automatica, ISSN 0005-1098, Vol. 40, no 3, 491-500 p.Article in journal (Refereed) Published
Abstract [en]

In this paper a method for optimal off-line scheduling of a limited resource used for control purposes is presented. For various reasons, real-time communication channels are prone to have-limited bandwidth. To overcome this obstacle, the rate of actions must be chosen accordingly at design time, both with respect to the limitation of the resource and to control performance. A resulting off-line schedule implements the rate of actions as a repetitive sequence of communication instants. Periodic control theory is used to define a cost functional for LQ-control, that measures the performance of a sampled-data system in relation to a desired continuous time performance. In contrast to uniform sampling, the communication sequence is here allowed to be time-varying. This approach results in a complex combinatorial optimization problem, whose solution gives the optimal off-line schedule, i.e., the sequence in which the actions should take place. The optimization problem is solved by a neighborhood search method where a heuristic method is used to generate initial guesses close to the optimum. The optimal schedule is typically such that the sampling is non-uniform, but the resulting LQ-control law is time-varying and takes this non-uniform sampling into account.

Place, publisher, year, edition, pages
2004. Vol. 40, no 3, 491-500 p.
Keyword [en]
limited communication, periodic control, sampled-data control, LQ-control, combinatorial optimization, timing jitter, scheduling
National Category
Mechanical Engineering
URN: urn:nbn:se:kth:diva-45352DOI: 10.1016/j.automatica.2003.10.022ISI: 000188924200016ScopusID: 2-s2.0-1642525809OAI: diva2:453069
QC 20111101Available from: 2011-11-01 Created: 2011-10-28 Last updated: 2011-11-01Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Rehbinder, HenrikSanfridson, Martin
By organisation
MathematicsMachine Design
In the same journal
Mechanical Engineering

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 9 hits
ReferencesLink to record
Permanent link

Direct link