A Primal-Dual Method for Low Order H-Infinity Controller Synthesis

Ankelhed, DanielLinköpings universitet,Reglerteknik,Tekniska högskolan (författare)

When designing robust controllers, H-infinity synthesis is a common tool to use. The controllers that result from these algorithms are typically of very high order, which complicates implementation. However, if a constraint on the maximum order of the controller is set, that is lower than the order of the (augmented) system, the problem becomes nonconvex and it is relatively hard to solve. These problems become very complex, even when the order of the system is low.The approach used in this work is based on formulating the constraint on the maximum order of the controller as a polynomial (or rational) equation. By using the fact that the polynomial (or rational) is non-negative on the feasible set, the problem is reformulated as an optimization problem where the nonconvex function is to be minimized over a convex set defined by linear matrix inequalities.The proposed method is evaluated together with a well-known method from the literature. The results indicate that the proposed method performs slightly better.

Helmersson, AndersLinköpings universitet,Reglerteknik,Tekniska högskolan(Swepub:liu)andhe31 (författare)
Hansson, AndersLinköpings universitet,Reglerteknik,Tekniska högskolan(Swepub:liu)andha17 (författare)
Linköpings universitetReglerteknik (creator_code:org_t)

Ingår i:Proceedings of Reglermöte 2010Lund : Linköping University Electronic Press

Av författaren/redakt...: Ankelhed, Daniel; Helmersson, Ande ...; Hansson, Anders

Om ämnet

TEKNIK OCH TEKNOLOGIER: TEKNIK OCH TEKNO ...; och Elektroteknik oc ...; och Reglerteknik

Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.