Algorithm for the computation of decentralized fixed modes

Author

Yang, X. ; Feliachi, A.

Author_Institution

Dept. of Electr. & Comput. Eng., West Virginia Univ., Morgantown, WV, USA

fYear

1989

fDate

14-16 Aug 1989

Firstpage

132

Abstract

The relationship between the residue matrix of the open-loop transfer function of the system and decentralized fixed modes (DFM) is explored. It is shown that there are only (p²-p ¹+1) possible partitions for the control stations where p₁ and p₂ are the number of the stations from which the mode is controllable, and the number of the stations at which the mode is unobservable, respectively. These partitions can be determined from the residue matrix. Nearly decentralized fixed modes (NDFM) are defined in terms of near uncontrollability and near observability and the residues of the subsystems associated with these modes. An algorithm for the computation of both DFM and NDFM is developed. Two examples to illustrate the proposed technique are given

Keywords

controllability; large-scale systems; matrix algebra; observability; transfer functions; DFM; NDFM; control stations; decentralized fixed modes; observability; open-loop transfer function; residue matrix; subsystems; uncontrollability; Character generation; Control systems; Design for manufacture; Distributed control; Large-scale systems; Open loop systems; Partitioning algorithms; Poles and zeros; Testing; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1989., Proceedings of the 32nd Midwest Symposium on

Conference_Location

Champaign, IL

Type

conf

DOI

10.1109/MWSCAS.1989.101812

Filename

101812