文章基本信息

标题：Generalized Kleinman-Newton method in discrete-time * * This research was supported by grants 443166/2014-5, 306911/2015-9 and 303887/2014-1 from the “Brazilian National Research Council-CNPq”.
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作者：José C. Geromel ; Grace S. Deaecto
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2017
卷号：50
期号：1
页码：6697-6702
DOI：10.1016/j.ifacol.2017.08.1164
语种：English
出版社：Elsevier
摘要：AbstractThis paper addresses the general problem of optimal linear control design subject to convex gain constraints. The classical approaches based exclusively on Riccati equations or linear matrix inequalities (LMIs) are unable to treat problems that incorporate feedback gain constraints, as for instance, reduced order (including static) output feedback control design. In this paper, a genuine generalization of the celebrated Kleinman-Newton Method (KM) is proposed and keeps intact the monotone convergence to a local minimum. Discrete-time systems performance is revisited in order to express them in the same framework of the original KM. We believe that other control design problems can be also considered by the adoption of the same ideas and algebraic manipulations. Several examples borrowed from the literature are solved for illustration of the numerical performance.
关键词：KeywordsOptimal controlconstrained control problemsdiscrete-time systems