On the optimality of localised distributed controllers
by Mihailo R. Jovanovic
International Journal of Systems, Control and Communications (IJSCC), Vol. 2, No. 1/2/3, 2010

Abstract: Design of optimal distributed controllers with a priori assigned localisation constraints is a difficult problem. Alternatively, one can ask the following question: given a localised distributed exponentially stabilising controller, is it inversely optimal with respect to some cost functional? We study this problem for linear spatially invariant systems and establish a frequency domain criterion for inverse optimality (in the LQR sense). We utilise this criterion to separate localised controllers that are never optimal from localised controllers that are optimal. For the latter, we provide examples to demonstrate optimality with respect to physically appealing cost functionals. These are characterised by state penalties that are not fully decentralised and they provide insight about spatial extent of the LQR weights that lead to localised controllers.

Online publication date: Sat, 23-Jan-2010

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Systems, Control and Communications (IJSCC):
Login with your Inderscience username and password:

    Username:        Password:         

Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com