文章基本信息

标题：Output feedback control for bilinear systems: a polytopic approach ⁎
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作者：Eduardo S. Tognetti ; Taís R. Calliero ; Marc Jungers 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：28
页码：58-63
DOI：10.1016/j.ifacol.2019.12.348
语种：English
出版社：Elsevier
摘要：This paper deals with bilinear systems. A method is provided to design a bilinear dynamic output feedback controller aiming at two goals: first to ensure local exponential stability of the origin in the closed-loop form and second to determine an estimate of the basin of attraction of the origin as large as possible. We propose a bilinear term in the controller that acts as a counteraction to the influence of the bilinear term of the system. The design of a full-order controller is converted in a static output feedback problem of an augmented system and solved by sufficient conditions expressed as linear matrix inequalities (LMIs) by considering a polytopic approach. By describing the closed-loop system in a polytopic region of the state space, an algorithm is proposed to design a controller that maximizes the estimate of the domain of attraction and progressively increases the size of the polytope where the system is represented. The results are illustrated by a numerical example.