Robust observed-state feedback design for discrete-time systems rational in the uncertainties

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• 作者：Dimitri Peaucelle^a ; ^{peaucelle@laas.fr}Author Vitae ; Yoshio Ebihara^b ; ^{ebihara@kuee.kyoto-u.ac.jp}Author Vitae ; Yohei Hosoe^b ; ^{hosoe@kuee.kyoto-u.ac.jp}Author Vitae
• 关键词：Robust control ; Descriptor systems ; State observers ; State feedback ; Linear systems ; Uncertain systems ; Convex optimization
• 刊名：Automatica
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：76
• 期：Complete
• 页码：96-102
• 全文大小：599 K
• 卷排序：76

文摘

Design of controllers in the form of a state-feedback coupled to a state observer is studied in the context of uncertain systems. The classical approach by Luenberger is revisited. Results provide a heuristic design procedure that mimics the independent state-feedback/observer gains design by minimizing the coupling of observation error dynamics on the ideal state-feedback dynamics. The proposed design and analysis conditions apply to linear systems rationally-dependent on uncertainties defined in the cross-product of polytopes. Convex linear matrix inequality results are given thanks to the combination of a descriptor multi-affine representations of systems and the SS-variable approach. Stability and H∞H∞ performances are assessed by multi-affine parameter-dependent Lyapunov matrices.