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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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