liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
Worst Case Output of Uncertain Systems
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2001 (English)Report (Other academic)
Abstract [en]

The numerical solution of the problem treated in this paper is an important step within a couple of recently developed controller-design procedures, dealing with multivariable or uncertain systems subject to hard-bounded control signals. We determine the worst case output amplitude of stable systems, excited with an input signal that is bounded in amplitude and rate. In the case of SISO systems, this problem can be solved via Linear Programming and a numerical algorithm is presented. This is a significant computational simplification compared to the solution used so far. The same framework can be applied for multivariable systems. A consequence of the Linear Programming approach is that uncertain systems, affinely parameterized in the uncertain parameter vector, can be treated via Quadratic Programming.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2001. , 17 p.
LiTH-ISY-R, ISSN 1400-3902 ; 2347
Keyword [en]
Worst case output amplitude, Hard constraints, Constraint control, Saturation avoidance, Rate constraints, Linear systems
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-55790ISRN: LiTH-ISY-R-2347OAI: diva2:316541
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-10-03Bibliographically approved

Open Access in DiVA

fulltext(402 kB)65 downloads
File information
File name FULLTEXT01.pdfFile size 402 kBChecksum SHA-512
Type fulltextMimetype application/pdf

By organisation
Automatic ControlThe Institute of Technology
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar
Total: 65 downloads
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

Total: 24 hits
ReferencesLink to record
Permanent link

Direct link