期刊
AUTOMATICA
卷 133, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2021.109889
关键词
Descriptor systems; Digital implementation; Generalized Riccati theory; Centered realizations; Minimal H-2 norm
资金
- Romanian Ministry of Education and Research, CNCS-UEFISCDI, within PNCDI III [PN-III-P1-1.1-TE-2019-1614]
This paper discusses the H2 optimal control problem for a discrete-time system with a potentially improper transfer function matrix, and proposes a numerically tractable algorithm to find the optimal controller. The optimal controller and the minimum closed-loop norm value are both determined based on a specific type of realization and solutions to two Riccati equations.
We consider the H2 optimal control problem for a discrete-time system whose transfer function matrix may be improper and we retrieve the optimal controller through a numerically tractable algorithm. Both the optimal controller and the value of the minimal closed-loop norm are given in terms of a particular type of realization and via the solutions of two Riccati equations. (c) 2021 Elsevier Ltd. All rights reserved.
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