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H Infinity Synthesis with Unstable Weighting Filters: An LMI Solution

Hakan Köroğlu (Institutionen för signaler och system, Mekatronik)
52nd IEEE Conference on Decision and Control, CDC 2013; Florence; Italy; 10 December 2013 through 13 December 2013 (0743-1546). p. 2429-2434. (2013)
[Konferensbidrag, refereegranskat]

Synthesis of a controller is considered for achieving a desired level of guaranteed worst-case energy gain performance in the case of unstable (input and output) weighting filters. The solution of this problem is shown to require a proper replication of the unstable filter dynamics accompanied by a controller of free structure. By merging the replicated filter dynamics with the plant, the problem is reformulated as the design of the free part of the controller in a way to stabilize an extended plant and ensure the considered performance objective. A solution is then provided based on LMI conditions accompanied by affine equation constraints. A procedure is also outlined for the synthesis of a controller whose order is equal to the order of the plant plus the orders of the filters.

Nyckelord: H Infinity synthesis, LMI optimization



Denna post skapades 2013-12-20. Senast ändrad 2014-11-24.
CPL Pubid: 190273

 

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