文章基本信息

标题：Control Analysis and Synthesis through Polytopic Tensor Product Model: a General Concept
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作者：József Kuti ; Péter Galambos ; Péter Baranyi 等
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：6558-6563
DOI：10.1016/j.ifacol.2017.08.611
语种：English
出版社：Elsevier
摘要：AbstractThe paper revisits and renew the concept of Polytopic Tensor Product (TP) Model based control analysis and synthesis by generalizing the use of TP-structured variables in the definite conditions derived from the applied control criteria. For TP forms that can depend on multivariate parameter sets (optionally with two times or larger multiplicities), a compact TP formalism is proposed where the multiplicity vector describes the structure. By setting the multiplicities, the parameter dependencies can be neglected or considered with arbitrary high complexity in the variables of controller-candidate, Lyapunov-function candidate and slack variables as well. The paper points out that the definite conditions on the structures of these variables results in definite conditions on Polytopic TP forms enabling a recursive method to reformulate them into Linear Matrix Inequalities (LMIs), Bilinear Matrix Inequalities (BMIs), etc. according to the design method in consideration. The application of the novel concept is shown through H∞ state feedback design for Linear Parameter Varying (LPV) systems.
关键词：KeywordsGain schedulingLPV methodologiesrobust adaptive controlcontroller constraintsstructureTP model transformation