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

M. C. Tsai; E. J.M. Geddes; I. Postlethwaite

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

M. C. Tsai, E. J.M. Geddes, I. Postlethwaite

Department of Mechanical Engineering

Research output: Contribution to journal › Conference article › peer-review

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 language	English
Pages (from-to)	1028-1029
Number of pages	2
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	2
Publication status	Published - 1990
Event	Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) - Honolulu, HI, USA Duration: 1990 Dec 5 → 1990 Dec 7

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

Cite this

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

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.",

author = "Tsai, {M. C.} and Geddes, {E. J.M.} and I. Postlethwaite",

note = "Funding Information: Acknowledgement--The authors are grateful to the U.K. Science and Engineering Research Council for financial support.; Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) ; Conference date: 05-12-1990 Through 07-12-1990",

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language = "English",

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AU - Tsai, M. C.

AU - Geddes, E. J.M.

AU - Postlethwaite, I.

N1 - Funding Information: Acknowledgement--The authors are grateful to the U.K. Science and Engineering Research Council for financial support.

PY - 1990

Y1 - 1990

N2 - 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.

AB - 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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M3 - Conference article

AN - SCOPUS:0025533583

SN - 0743-1546

VL - 2

SP - 1028

EP - 1029

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6)

Y2 - 5 December 1990 through 7 December 1990

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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