A new parametrization of H∞ suboptimal controllers
作者:
PASCAL GAHINET,
期刊:
International Journal of Control
(Taylor Available online 1994)
卷期:
Volume 59,
issue 4
页码: 1031-1051
ISSN:0020-7179
年代: 1994
DOI:10.1080/00207179408923116
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Elementary state-space concepts are used to derive a transparent solution to theH∞control problem on an infinite horizon. The main contribution of this solution is a novel representation of suboptimal controllers in terms of a pair of parametric Riccati equations with a coupling constraint. Unlike the classical parametrization in terms of linear fractional transformation, this state-space representation has a homogeneous Riccati formulation which should help to make the most of the suboptimal controller diversity. Potential applications include the design of reduced-order controllers and, more generally, the selection of suboptimal controllers to meet or optimize additional constraints.
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