H Infinity Synthesis with Unstable Weighting Filters: An LMI Solution
Paper in proceeding, 2013

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.

H Infinity synthesis

LMI optimization

Author

Hakan Köroglu

Chalmers, Signals and Systems, Systems and control

Proceedings of the IEEE Conference on Decision and Control

07431546 (ISSN) 25762370 (eISSN)

2429-2434
978-1-4673-5714-2 (ISBN)

Roots

Basic sciences

Infrastructure

C3SE (Chalmers Centre for Computational Science and Engineering)

Subject Categories

Control Engineering

DOI

10.1109/CDC.2013.6760244

ISBN

978-1-4673-5714-2

More information

Latest update

1/3/2024 9