Worst Case Output of Uncertain Systems
2001 (English)Report (Other academic)
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
Worst case output amplitude, Hard constraints, Constraint control, Saturation avoidance, Rate constraints, Linear systems
IdentifiersURN: urn:nbn:se:liu:diva-55790ISRN: LiTH-ISY-R-2347OAI: oai:DiVA.org:liu-55790DiVA: diva2:316541