Discrete first-order models for multivariable process control
作者:
D.H.Owens,
期刊:
Proceedings of the Institution of Electrical Engineers
(IET Available online 1979)
卷期:
Volume 126,
issue 6
页码: 525-530
年代: 1979
DOI:10.1049/piee.1979.0127
出版商: IEE
数据来源: IET
摘要:
The concept of anm×minvertible continuous first-order lag is extended to define an equivalent formulation for multivariable sampled-data systems. A large class of proportional-plus-summation-output feedback controllers is constructed. Each controller guarantees the stability of the closed-loop system and, also, low-closed-loop interaction effects if the sampling rate is high enough. The results are extended to show that a multivariable discrete first-order lag is, in many cases of practical interest, a quite adequate approximation for the purpose of controller design provided that the plant is minimum phase and satisfies a contraction-mapping condition. In particular, any discrete model of a minimum-phase continuous linear time-invariant plant with a nonsingular value ofCBwill satisfy the contraction condition provided that the sampling rate is high enough.
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