Control of decentralized systems with distributed controller complexity

Author

Anderson, Brian D O ; Linnemann, Arno

Author_Institution

Australian National University, Canberra, Australia

Volume

32

Issue

7

fYear

1987

fDate

7/1/1987 12:00:00 AM

Firstpage

625

Lastpage

629

Abstract

An approach is presented which allows design of stabilizing decentralized controllers for linear systems with two scalar channels, such that each local controller is endowed with some dynamics while the sum of the orders is kept smaller than the system order. It is shown that for almost all $n$ th-order systems with two scalar channels the local controllers can be chosen such that their orders δ1and δ2satisfy $\\delta _{1} +\\delta _{2}\\leq n - 2$ , max ${\\delta _{1}, \\delta _{2}} \\leq \\max {(n - 1)/2, n -1 - (\\mu_{0}/2)}$ , whereμ0is the number of stable zeros of the cross Coupling transfer functions in the system. The approach is to design one of the local controllers such that the McMillan degree of the resulting one-channel system is reduced. Then the other local controller only has to deal with a model of reduced dimension and can thus be chosen of lower order.

Keywords

Distributed control, linear systems; Reduced-order systems, linear; Adaptive control; Control systems; Controllability; Differential equations; Distributed control; Linear systems; Optimal control; Oscillators; Polynomials; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.1987.1104669

Filename

1104669