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\(H^ \infty\) control with pole assignment in a specified disc. (English) Zbl 0765.93018
Summary: A method of pole assignment in \(H^ \infty\) control theory is proposed. By this method, all the poles can be placed in a left half-plane or inside a disc on the complex plane and at the same time an \(H^ \infty\) norm constraint is satisfied. This result can be derived by a bilinear transformation of the complex variable of a transfer function in \(H^ \infty\) control theory.

93B36 \(H^\infty\)-control
93B55 Pole and zero placement problems
pole assignment
Full Text: DOI
[1] ANDERSON B. D. O., Linear Optimal Control (1971) · Zbl 0321.49001
[2] DOI: 10.1109/9.29425 · Zbl 0698.93031
[3] DOI: 10.1109/TAC.1987.1104624 · Zbl 0627.93029
[4] DOI: 10.1080/00207178808906171 · Zbl 0688.93024
[5] DOI: 10.1002/rnc.4590010303 · Zbl 0761.93061
[6] MORI Y., Transactions, the Society of Instrument and Control Engineers 16 pp 147– (1980)
[7] ROSENBLUM M., Hardy Classes and Operator Theory (1985)
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