文章基本信息

标题：Quadratic Stabilization of Discrete-Time Bilinear Control Systems Subjected to Exogenous Disturbances ⁎
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作者：Mikhail V. Khlebnikov
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：4899-4903
DOI：10.1016/j.ifacol.2020.12.1062
语种：English
出版社：Elsevier
摘要：AbstractWe consider the design problem for discrete-time bilinear control systems subjected to arbitrary bounded exogenous disturbances. A procedure for the construction of the stabiliz-ability ellipsoids and stabilizability domain for discrete-time bilinear control systems is proposed and its efficiency is proved. The main tools are the linear matrix inequality technique and the apparatus of quadratic Lyapunov functions. This simple yet general approach is of great potential; for instance, it can be generalized to the various robust statements of the problem.
关键词：KeywordsDiscrete-time bilinear systemsbounded exogenous disturbancesquadratic Lyapunov functionslinear feedbackstabilizability ellipsoidstabilizability domainlinear matrix inequalities