Pole-zero cancellations and closed-loop properties of an H∞ mixed sensitivity design problem

Mi-Ching Tsai, E. J M Geddes, I. Postlethwaite

Research output: Contribution to journalConference article

7 Citations (Scopus)

Abstract

An H mixed sensitivity design problem is examined in order to gain an understanding of the phenomenon of closed-loop pole-zero cancellation and of the closed-loop properties resulting from an H design. A particular weighting-function construction is given that allows the designer freedom to exploit/prevent pole-zero cancellation and acts as a mechanism for (partial) pole placement. It is also shown that the normalized coprime factor (NCF) design procedure of D. McFarlane and K. Glover (1989) can, for a particular class of plant, result in some (possibly undesirable) closed-loop pole-zero cancellations. This is illustrated with a simple design example. The results are presented in the scalar case for simplicity.

Original languageEnglish
Pages (from-to)1028-1029
Number of pages2
JournalProceedings of the IEEE Conference on Decision and Control
Volume2
Publication statusPublished - 1990 Dec 1
EventProceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) - Honolulu, HI, USA
Duration: 1990 Dec 51990 Dec 7

Fingerprint

Design Sensitivity
Cancellation
Closed-loop
Pole
Poles
Zero
Pole Placement
Weighting Function
Coprime
Simplicity
Scalar
Partial
Design

All Science Journal Classification (ASJC) codes

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

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abstract = "An H∞ mixed sensitivity design problem is examined in order to gain an understanding of the phenomenon of closed-loop pole-zero cancellation and of the closed-loop properties resulting from an H∞ design. A particular weighting-function construction is given that allows the designer freedom to exploit/prevent pole-zero cancellation and acts as a mechanism for (partial) pole placement. It is also shown that the normalized coprime factor (NCF) design procedure of D. McFarlane and K. Glover (1989) can, for a particular class of plant, result in some (possibly undesirable) closed-loop pole-zero cancellations. This is illustrated with a simple design example. The results are presented in the scalar case for simplicity.",
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Pole-zero cancellations and closed-loop properties of an H∞ mixed sensitivity design problem. / Tsai, Mi-Ching; Geddes, E. J M; Postlethwaite, I.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 2, 01.12.1990, p. 1028-1029.

Research output: Contribution to journalConference article

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