文章基本信息

标题：Control of SISO non-affine-in-control discrete-time systems using Takagi-Sugeno models
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作者：Thierry-Marie Guerra ; Anh-Tu Nguyen ; Michaël Defoort 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：11
页码：79-84
DOI：10.1016/j.ifacol.2019.09.121
语种：English
出版社：Elsevier
摘要：This paper deals with the stabilization problem for single-input-single-output (SISO) non-affine-in-control nonlinear discrete-time systems. Generally, this non-affine-in-control problem leads to algebraic loops and a classical solution consists in using dynamic extensions. Based on Takagi-Sugeno (T-S) quasi-linear parameter varying (quasi-LPV) models, we propose to keep the scheme of the classical LMI-based control design framework, i.e. similar as when the membership functions of the T-S model do not depend on the control input. In particular, some properties of finite time convergence are exploited to “break” the algebraic loop problem. Numerical simulations are provided to demonstrate the interests of the proposed control approach.
关键词：KeywordsLinear matrix inequalitynon-affine systemsfinite time stabilitydynamic control