TY - JOUR
T1 - Pole-zero cancellations and closed-loop properties of an H∞ mixed sensitivity design problem
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 - 0191-2216
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 -