An important property of non-minimum-phase multiple-input-multiple-output feedback systems
作者:
I. M. HOROWITZ,
S. OLDAK,
O YANIV,
期刊:
International Journal of Control
(Taylor Available online 1986)
卷期:
Volume 44,
issue 3
页码: 677-688
ISSN:0020-7179
年代: 1986
DOI:10.1080/00207178608933626
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The non-minimum-phase (NMP( property is easily determined from the requirement that the plant input is bounded. In the single-input-single-output (SISO) system, a right-half-plane (RHP) plant zero ats = bconstrains the system transfer function to have a zero atb. Also, the available feedback benefits are significantly restricted. Then×nmultiple-input-multiple-output (MIMO) system is NMP if the plant determinant δhas any RHP zeros, say at plant transfer matrix andT = [tijis the closed-loop system transfer matrix. It has been thought that all n2tij(and the n2plant disturbance response function rfj),mustsuffer from the NMP liability in their feedback properties. It is shown that only one row of need so suffer, with a any fixed integer in [1, n].The remainingn(n— 1) elements can be completely free of the NMP liability. A mathematically rigorous synthesis technique previously developed for MP systems is shown to be well suited for precise numerical design for such NMP MIMO plants with significant uncertainties. In this technique, the MIMO design problem is converted into a number of equivalent SISO problems. An example involving disturbance attenuation in a highly uncertain 2×2 NMP plant is included.
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