Convex liftings-based robust control design

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• 作者：Ngoc Anh Nguyen^a ; ^b ; ¹ ; ^{Ngocanh.Nguyen.rs@gmail.com}Author Vitae ; Sorin Olaru^b ; ^{Sorin.Olaru@centralesupelec.fr}Author Vitae ; Pedro Rodrí ; guez-Ayerbe^b ; ^{Pedro.Rodriguez@centralesupelec.fr}Author Vitae ; Michal Kvasnica^c ; ^{michal.kvasnica@stuba.sk}Author Vitae
• 关键词：Convex liftings ; Robust control ; Bounded additive disturbances ; Polytopic uncertainties ; PWA Lyapunov function
• 刊名：Automatica
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：77
• 期：Complete
• 页码：206-213
• 全文大小：1292 K
• 卷排序：77

文摘

This paper presents a new approach for control design of constrained linear systems affected by bounded additive disturbances and polytopic uncertainties. This method hinges on so-called convex liftings which emulate control Lyapunov function by providing a constructive framework for optimization based control implementation. It will be shown that this method can guarantee the recursive feasibility and robust stability. Finally, a numerical example will be presented to illustrate this method.