A1 J. Leventides

AD Control Eng. Centre, City Univ., London

PB iet

T1 The use of symbolic computation for the problem of stabilisation via small order feedback controllers

JN IET Conference Proceedings

SP 9

OP 9

AB The problem of stabilising a MIMO plant via output feedback controllers of a given degree was recently tackled via linearisation around some special degenerate compensators. This can be numerically implementated as an ɛ-perturbation method. The solution is in the form of a perturbation series which can be constructed by repetitively solving a set of linear equations, coming from the expansions (in ɛ and s) of the original pole placement equations. This expansion can be done almost trivially in any symbolic language using standard symbolic commands. The code is only a few lines long and can be done by the nonexpert. There is no need to understand the algebra of the problem, which involves tensor, polynomial algebra and some combinatorics since the load of the expansion is taken solely by the symbolic package. (4 pages)

K1 combinatorics

K1 symbolic commands

K1 stabilisation

K1 ɛ-perturbation method

K1 output feedback controllers

K1 symbolic computation

K1 linearisation

K1 tensor algebra

K1 linear equations

K1 symbolic package

K1 algebra

K1 polynomial algebra

K1 symbolic language

K1 pole placement equations

K1 MIMO plant stabilisation

K1 perturbation series

K1 degenerate compensators

K1 small order feedback controllers

DO https://doi.org/10.1049/ic:19960516

UL https://digital-library.theiet.org/;jsessionid=7jdocuuivnir.x-iet-live-01content/conferences/10.1049/ic_19960516

LA English

SN

YR 1996

OL EN