TY - JOUR

T1 - Synthesis of multivariable, basically non-interacting systems with significant plant uncertainty

AU - Shaked, Uri

AU - Horowitz, Isaac

AU - Golde, Shmuel

PY - 1976/1

Y1 - 1976/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0016882394&partnerID=8YFLogxK

U2 - 10.1016/0005-1098(76)90069-8

DO - 10.1016/0005-1098(76)90069-8

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AN - SCOPUS:0016882394

SN - 0005-1098

VL - 12

SP - 61

EP - 71

JO - Automatica

JF - Automatica

IS - 1

ER -