Synthesis of multivariable, basically non-interacting systems with significant plant uncertainty

Uri Shaked*, Isaac Horowitz, Shmuel Golde

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper presents a synthesis technique for basically non-interacting, time-invariant, linear, minimum-phase, multi-variable feedback control systems with significant plant uncertainty. The technique permits precise design to specifications in the frequency domain, of the form ki1(ω)≤|τii(jω)|≤ki2(ω), |τij(jω)|≤kij(ω), i/n=j, to be satisfied over the range of plant parameter uncertainty, where T = [ταβ] is the matrix of transfer functions of the closed-loop system, and the k's are a priori specified. The specifications are achieved with loop transmission elements of minimum 'bandwidth'. A computerized iteration scheme is developed. At each iteration the problem is one of designing separate, single input-output systems with parameter uncertainty. An exact synthesis technique exists for this problem. Two detailed examples are given: one, a rotating d.c. to a.c. converter, in which parameter uncertainty is by a factor of 10 (1000%) and the second with parameter uncertainty factors up to 100.

Original languageEnglish
Pages (from-to)61-71
Number of pages11
JournalAutomatica
Volume12
Issue number1
DOIs
StatePublished - Jan 1976
Externally publishedYes

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