An analysis of the pole-zero cancellations in H∞-optimal control problems of the first kind

D. J.N. Limebeer; Y. S. Hung

doi:10.1137/0325081

An analysis of the pole-zero cancellations in H∞-optimal control problems of the first kind

D. J.N. Limebeer, Y. S. Hung

Imperial College London

Research output: Contribution to journal › Article › peer-review

38 Citations (Scopus)

Abstract

The aim of this paper is to study the pole-zero cancellations which occur in a class of H** infinity -optimal control problems which may be embedded in certain generalized regulator configuration. A general bound on the McMillan degree of all controllers which are stabilizing and lead to a closed loop which satisfies conditions on the transfer function is derived.

Original language	English
Pages (from-to)	1457-1493
Number of pages	37
Journal	SIAM Journal on Control and Optimization
Volume	25
Issue number	6
DOIs	https://doi.org/10.1137/0325081
Publication status	Published - 1987
Externally published	Yes

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

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10.1137/0325081

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abstract = "The aim of this paper is to study the pole-zero cancellations which occur in a class of H** infinity -optimal control problems which may be embedded in certain generalized regulator configuration. A general bound on the McMillan degree of all controllers which are stabilizing and lead to a closed loop which satisfies conditions on the transfer function is derived.",

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AB - The aim of this paper is to study the pole-zero cancellations which occur in a class of H** infinity -optimal control problems which may be embedded in certain generalized regulator configuration. A general bound on the McMillan degree of all controllers which are stabilizing and lead to a closed loop which satisfies conditions on the transfer function is derived.

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An analysis of the pole-zero cancellations in H∞-optimal control problems of the first kind

Abstract

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