H Infinity Synthesis with Unstable Weighting Filters: An LMI Solution

• Synthesis of a controller is considered for achievinga 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.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

Nyckelord

H Infinity synthesis

LMI optimization

Publikations- och innehållstyp

kon (ämneskategori)

ref (ämneskategori)