×

zbMATH — the first resource for mathematics

\(H^ \infty\) 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.

MSC:
93B36 \(H^\infty\)-control
93B55 Pole and zero placement problems
Keywords:
pole assignment
PDF BibTeX XML Cite
Full Text: DOI
References:
[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)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.