Controller reduction via minimum rank matrix approximation

Authors:
Kin Cheong Sou;Anders Rantzer
Affiliations:
Automatic Control Lab and ACCESS Linnaeus Center, School of Electrical Engineering, Royal Institute of Technology, Osquldas väg 10, floor 6, SE-100 44 Stockholm, Sweden;Department of Automatic Control, Lund University, Box 118, SE-221 00 Lund, Sweden
Venue:
Automatica (Journal of IFAC)
Year:
2012

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Abstract

In this paper a controller reduction method for discrete-time linear time-invariant systems is described. Using the bounded-real lemma, the proposed method generates reduced controllers with closed loop stability and H"~ norm performance guarantee. Information of the full controller is used as a basis for reduction using singular value decomposition. This is different from traditional model reduction schemes such as weighted balanced truncation. Numerical assessment of the proposed method is given in the end of the paper.